Dataset2/TeamB

From Jsarmi

Gerry 5/9/06 6:17:35 PM EDT: joins the room

  1. bwang8 5/9/06 6:23:13 PM EDT: joins the room
  2. Aznx 5/9/06 6:23:14 PM EDT: joins the room
  3. Quicksilver 5/9/06 6:23:14 PM EDT: joins the room
  4. bwang8 5/9/06 6:23:18 PM EDT: hi
  5. Aznx 5/9/06 6:23:23 PM EDT: Hi
  6. Quicksilver 5/9/06 6:23:28 PM EDT: hey
  7. Aznx 5/9/06 6:23:35 PM EDT: So we can't have our own friends?
  8. bwang8 5/9/06 6:23:40 PM EDT: nope
  9. bwang8 5/9/06 6:23:49 PM EDT: lol
  10. Quicksilver 5/9/06 6:23:52 PM EDT: hey three of us are from miller
  11. Gerry 5/9/06 6:23:55 PM EDT: Hi everyone!
  12. bwang8 5/9/06 6:24:03 PM EDT: oh
  13. Gerry 5/9/06 6:24:06 PM EDT: I am your VMT guide today
  14. Aznx 5/9/06 6:24:06 PM EDT: How?
  15. Quicksilver 5/9/06 6:24:12 PM EDT: nvrmind
  16. Quicksilver 5/9/06 6:24:13 PM EDT: two of us
  17. Aznx 5/9/06 6:24:13 PM EDT: Who's Gerry?
  18. bwang8 5/9/06 6:24:19 PM EDT: admin
  19. Aznx 5/9/06 6:24:19 PM EDT: Yeah. =)
  20. Quicksilver 5/9/06 6:24:45 PM EDT: Hello Gerry!
  21. Gerry 5/9/06 6:24:59 PM EDT: Today's session is mainly to get to know the VMT system
  22. Aznx 5/9/06 6:25:18 PM EDT: So, how do you use the whiteboard?
  23. bwang8 5/9/06 6:25:25 PM EDT:
  24. bwang8 5/9/06 6:25:29 PM EDT:
  25. Gerry 5/9/06 6:25:51 PM EDT: I will answer your questions as you start to do things
  26. bwang8 5/9/06 6:25:59 PM EDT: asdfadsf
  27. bwang8 5/9/06 6:25:59 PM EDT:
  28. bwang8 5/9/06 6:26:07 PM EDT:
  29. bwang8 5/9/06 6:26:09 PM EDT:
  30. bwang8 5/9/06 6:26:15 PM EDT: ok
  31. Gerry 5/9/06 6:26:27 PM EDT: The whiteboard is a shared area for drawing and textboxes
  32. Gerry 5/9/06 6:26:56 PM EDT: What you put there is seen by everyone in this room, just like the chat messages
  33. Aznx 5/9/06 6:27:18 PM EDT: It seems they only last for a while thoough/
  34. bwang8 5/9/06 6:27:26 PM EDT: i delete them
  35. Aznx 5/9/06 6:27:47 PM EDT: Does that mean in the real time, all the work would be there?
  36. bwang8 5/9/06 6:27:48 PM EDT: can you see main topic?
  37. Gerry 5/9/06 6:27:53 PM EDT: Since things are shared, you should be careful about deleting
  38. bwang8 5/9/06 6:28:02 PM EDT: no, my things
  39. bwang8 5/9/06 6:28:10 PM EDT: just testing
  40. bwang8 5/9/06 6:28:14 PM EDT: functions
  41. bwang8 5/9/06 6:28:31 PM EDT:
  42. bwang8 5/9/06 6:28:33 PM EDT:
  43. bwang8 5/9/06 6:28:35 PM EDT:
  44. Gerry 5/9/06 6:28:40 PM EDT: remember, you are trying to collaborate
  45. Quicksilver 5/9/06 6:28:42 PM EDT:
  46. bwang8 5/9/06 6:28:46 PM EDT: ok
  47. Gerry 5/9/06 6:29:12 PM EDT: You can click on the button at the top that says "View Topic" to see the math problem
  48. bwang8 5/9/06 6:29:32 PM EDT: ok
  49. bwang8 5/9/06 6:29:50 PM EDT: are we suppose to solve it now?
  50. Gerry 5/9/06 6:30:13 PM EDT: Then you can click on the button in the little window that appears to open the topic in another big growser window
  51. Gerry 5/9/06 6:30:36 PM EDT: browser*
  52. Aznx 5/9/06 6:30:40 PM EDT: It didn't open.
  53. Aznx 5/9/06 6:30:52 PM EDT: Now it did.
  54. Aznx 5/9/06 6:31:32 PM EDT: So, are we supposed to work together?
  55. bwang8 5/9/06 6:31:49 PM EDT: yeah
  56. bwang8 5/9/06 6:31:50 PM EDT: ok
  57. Gerry 5/9/06 6:31:54 PM EDT: Exactly!
  58. Aznx 5/9/06 6:32:04 PM EDT: Aditya, you there?
  59. bwang8 5/9/06 6:32:05 PM EDT: you can divide the thing into two parts
  60. bwang8 5/9/06 6:32:09 PM EDT:
  61. Aznx 5/9/06 6:32:10 PM EDT: Let's start this thing.
  62. bwang8 5/9/06 6:32:11 PM EDT:
  63. bwang8 5/9/06 6:32:13 PM EDT:
  64. bwang8 5/9/06 6:32:15 PM EDT:
  65. bwang8 5/9/06 6:32:16 PM EDT:
  66. bwang8 5/9/06 6:32:18 PM EDT:
  67. bwang8 5/9/06 6:32:20 PM EDT:
  68. bwang8 5/9/06 6:32:22 PM EDT:
  69. bwang8 5/9/06 6:32:24 PM EDT:
  70. bwang8 5/9/06 6:32:25 PM EDT:
  71. bwang8 5/9/06 6:32:27 PM EDT:
  72. bwang8 5/9/06 6:32:29 PM EDT:
  73. bwang8 5/9/06 6:32:30 PM EDT:
  74. bwang8 5/9/06 6:32:31 PM EDT:
  75. bwang8 5/9/06 6:32:33 PM EDT:
  76. bwang8 5/9/06 6:32:34 PM EDT:
  77. bwang8 5/9/06 6:32:36 PM EDT:
  78. bwang8 5/9/06 6:32:38 PM EDT:
  79. Quicksilver 5/9/06 6:32:38 PM EDT: my computer was lagging...What are we doing?
  80. Aznx 5/9/06 6:32:49 PM EDT: http://home.old.mathforum.org/SFest.html
  81. Quicksilver 5/9/06 6:32:58 PM EDT: what are the lines for?
  82. Aznx 5/9/06 6:33:01 PM EDT: go to view topic
  83. bwang8 5/9/06 6:33:05 PM EDT: so you can see we only need to figur one out to get the total stick
  84. Aznx 5/9/06 6:33:09 PM EDT: read the problem
  85. bwang8 5/9/06 6:33:32 PM EDT: 1+2+3+........+N+N
  86. bwang8 5/9/06 6:33:38 PM EDT: times that by 2
  87. Quicksilver 5/9/06 6:33:40 PM EDT: Never mind I figured it out..
  88. Aznx 5/9/06 6:34:01 PM EDT: Can we collaborate this answer even more?
  89. Aznx 5/9/06 6:34:05 PM EDT: To make it even simpler?
  90. bwang8 5/9/06 6:34:15 PM EDT: ok
  91. Aznx 5/9/06 6:34:16 PM EDT: Because I think we can.
  92. bwang8 5/9/06 6:34:50 PM EDT: ((1+N)*N/2+N)*2
  93. bwang8 5/9/06 6:34:58 PM EDT: that's the formula, right?
  94. Aznx 5/9/06 6:35:15 PM EDT: How did you come up with it?
  95. bwang8 5/9/06 6:35:16 PM EDT: for total sticks
  96. bwang8 5/9/06 6:35:34 PM EDT: is a common formual
  97. bwang8 5/9/06 6:35:40 PM EDT: formula
  98. Aznx 5/9/06 6:35:46 PM EDT: Yeah, I know.
  99. bwang8 5/9/06 6:35:59 PM EDT: and just slightly modify it to get this
  100. bwang8 5/9/06 6:36:15 PM EDT:
  101. bwang8 5/9/06 6:36:23 PM EDT:
  102. bwang8 5/9/06 6:36:24 PM EDT:
  103. bwang8 5/9/06 6:36:27 PM EDT:
  104. bwang8 5/9/06 6:36:31 PM EDT:
  105. Aznx 5/9/06 6:36:31 PM EDT: Aditya, you get this right?
  106. bwang8 5/9/06 6:36:32 PM EDT:
  107. bwang8 5/9/06 6:36:35 PM EDT:
  108. bwang8 5/9/06 6:36:37 PM EDT:
  109. bwang8 5/9/06 6:36:39 PM EDT:
  110. bwang8 5/9/06 6:36:40 PM EDT:
  111. bwang8 5/9/06 6:36:42 PM EDT:
  112. bwang8 5/9/06 6:36:43 PM EDT:
  113. Quicksilver 5/9/06 6:36:44 PM EDT:
  114. bwang8 5/9/06 6:36:45 PM EDT:
  115. Quicksilver 5/9/06 6:36:47 PM EDT:
  116. Quicksilver 5/9/06 6:36:50 PM EDT:
  117. Quicksilver 5/9/06 6:36:55 PM EDT:
  118. Quicksilver 5/9/06 6:36:59 PM EDT:
  119. Quicksilver 5/9/06 6:37:00 PM EDT:
  120. Quicksilver 5/9/06 6:37:01 PM EDT:
  121. Quicksilver 5/9/06 6:37:05 PM EDT:
  122. Quicksilver 5/9/06 6:37:45 PM EDT: What does the n represent?
  123. bwang8 5/9/06 6:37:57 PM EDT: the given
  124. bwang8 5/9/06 6:37:58 PM EDT: N
  125. Aznx 5/9/06 6:38:02 PM EDT: Yeah.
  126. Aznx 5/9/06 6:38:05 PM EDT: In the problem.
  127. Gerry 5/9/06 6:38:13 PM EDT:
  128. Gerry 5/9/06 6:38:17 PM EDT:
  129. Quicksilver 5/9/06 6:38:20 PM EDT:
  130. Quicksilver 5/9/06 6:38:37 PM EDT: Oh
  131. bwang8 5/9/06 6:38:38 PM EDT: The number of squares is just (1+N)*N/2
  132. Aznx 5/9/06 6:38:44 PM EDT:
  133. Aznx 5/9/06 6:38:48 PM EDT:
  134. Quicksilver 5/9/06 6:38:50 PM EDT: We need that as well.
  135. Aznx 5/9/06 6:38:51 PM EDT:
  136. Gerry 5/9/06 6:38:52 PM EDT: I put BWang's formula on the whiteboard
  137. Aznx 5/9/06 6:38:55 PM EDT:
  138. Aznx 5/9/06 6:39:19 PM EDT:
  139. Aznx 5/9/06 6:39:28 PM EDT:
  140. Aznx 5/9/06 6:39:45 PM EDT: So how do we submit this?
  141. Quicksilver 5/9/06 6:40:26 PM EDT: We are still in the process
  142. Quicksilver 5/9/06 6:40:38 PM EDT: We are discussing
  143. Gerry 5/9/06 6:40:41 PM EDT: you can complete the table for different N and put that on the wiki
  144. bwang8 5/9/06 6:40:46 PM EDT: ok
  145. Quicksilver 5/9/06 6:40:56 PM EDT: Do we complete it on the whiteboard?
  146. Aznx 5/9/06 6:40:59 PM EDT: bwang you can do it.
  147. bwang8 5/9/06 6:41:01 PM EDT: that would take a while
  148. Aznx 5/9/06 6:41:10 PM EDT: Or do we all have to put the values?
  149. Gerry 5/9/06 6:42:05 PM EDT: There are 3 of you and the problem asks for 3 rows, so you could each do one -- as long as you all collaboratively agree on the values first
  150. bwang8 5/9/06 6:42:17 PM EDT: ok
  151. Aznx 5/9/06 6:42:22 PM EDT: Ok.
  152. bwang8 5/9/06 6:42:37 PM EDT: me 4
  153. Aznx 5/9/06 6:42:44 PM EDT: I'll do 5.
  154. Aznx 5/9/06 6:42:49 PM EDT: Aditya does 6.
  155. Aznx 5/9/06 6:42:59 PM EDT: So we submit it together for N?
  156. bwang8 5/9/06 6:43:33 PM EDT: where do i enter the answer
  157. Gerry 5/9/06 6:44:08 PM EDT: From the window with the Topic, click on the link for the wiki
  158. Aznx 5/9/06 6:44:19 PM EDT: And then?
  159. Gerry 5/9/06 6:44:43 PM EDT: Then go to "rows of the table"
  160. Gerry 5/9/06 6:45:14 PM EDT: At the bottom of the wiki page is a link to "edit this page"
  161. Aznx 5/9/06 6:45:49 PM EDT: So our team name is 2?
  162. Gerry 5/9/06 6:45:49 PM EDT: Take turns so you do not overwrite each other's edits
  163. Gerry 5/9/06 6:46:01 PM EDT: You are TEAM B
  164. Aznx 5/9/06 6:46:04 PM EDT: ok
  165. Aznx 5/9/06 6:46:14 PM EDT: bwang you go first
  166. bwang8 5/9/06 6:46:18 PM EDT: ok
  167. Aznx 5/9/06 6:46:19 PM EDT: tell me when you're done
  168. Gerry 5/9/06 6:46:37 PM EDT: Enter your team name and the values for sticks and squares
  169. Quicksilver 5/9/06 6:46:43 PM EDT: I tried, but it didn't work
  170. Quicksilver 5/9/06 6:46:50 PM EDT: Are we Team B?
  171. Aznx 5/9/06 6:46:55 PM EDT: TEAM B
  172. bwang8 5/9/06 6:47:02 PM EDT: i am done
  173. Aznx 5/9/06 6:47:06 PM EDT: I think's its case sensitive.
  174. Aznx 5/9/06 6:47:11 PM EDT: Alright, my turn.
  175. Gerry 5/9/06 6:47:25 PM EDT: Nice!
  176. bwang8 5/9/06 6:47:27 PM EDT: is mine in the correct format
  177. Aznx 5/9/06 6:47:47 PM EDT: We just write B?
  178. Aznx 5/9/06 6:47:51 PM EDT: On Team name?
  179. Aznx 5/9/06 6:47:53 PM EDT: right?
  180. bwang8 5/9/06 6:47:57 PM EDT: yes
  181. Gerry 5/9/06 6:48:02 PM EDT: yes
  182. Aznx 5/9/06 6:49:28 PM EDT: Just checking.
  183. Aznx 5/9/06 6:49:34 PM EDT: The number of squares is 15.
  184. Gerry 5/9/06 6:49:47 PM EDT: You might want to draw the table on the whiteboard to make sure you all agree
  185. bwang8 5/9/06 6:50:13 PM EDT:
  186. bwang8 5/9/06 6:50:19 PM EDT:
  187. bwang8 5/9/06 6:50:29 PM EDT:
  188. bwang8 5/9/06 6:50:35 PM EDT:
  189. bwang8 5/9/06 6:50:39 PM EDT:
  190. bwang8 5/9/06 6:50:42 PM EDT:
  191. bwang8 5/9/06 6:50:44 PM EDT:
  192. bwang8 5/9/06 6:50:46 PM EDT:
  193. bwang8 5/9/06 6:50:48 PM EDT:
  194. Quicksilver 5/9/06 6:51:00 PM EDT: There are 15 squares and 44 sticks for n=5?
  195. bwang8 5/9/06 6:51:01 PM EDT:
  196. bwang8 5/9/06 6:51:08 PM EDT:
  197. bwang8 5/9/06 6:51:11 PM EDT:
  198. bwang8 5/9/06 6:51:13 PM EDT:
  199. bwang8 5/9/06 6:51:19 PM EDT:
  200. bwang8 5/9/06 6:51:23 PM EDT:
  201. bwang8 5/9/06 6:51:24 PM EDT:
  202. bwang8 5/9/06 6:51:27 PM EDT:
  203. bwang8 5/9/06 6:51:32 PM EDT:
  204. bwang8 5/9/06 6:51:35 PM EDT:
  205. bwang8 5/9/06 6:51:37 PM EDT:
  206. bwang8 5/9/06 6:51:40 PM EDT:
  207. bwang8 5/9/06 6:51:41 PM EDT:
  208. bwang8 5/9/06 6:51:43 PM EDT:
  209. bwang8 5/9/06 6:51:44 PM EDT:
  210. bwang8 5/9/06 6:52:03 PM EDT: isn't it 40
  211. bwang8 5/9/06 6:52:18 PM EDT: (15+5)*2
  212. bwang8 5/9/06 6:52:28 PM EDT:
  213. bwang8 5/9/06 6:52:30 PM EDT:
  214. Quicksilver 5/9/06 6:52:35 PM EDT: How do you draw a table in the whiteboard?
  215. bwang8 5/9/06 6:52:37 PM EDT:
  216. bwang8 5/9/06 6:52:51 PM EDT: line tool and scribble
  217. bwang8 5/9/06 6:52:53 PM EDT: lol
  218. bwang8 5/9/06 6:52:59 PM EDT: it looks really bad
  219. Aznx 5/9/06 6:53:24 PM EDT: everyone agree with me?
  220. Aznx 5/9/06 6:53:29 PM EDT: on the table?
  221. Aznx 5/9/06 6:53:35 PM EDT: i triple-checked =P
  222. bwang8 5/9/06 6:54:12 PM EDT: ok
  223. bwang8 5/9/06 6:54:17 PM EDT: i can't see it
  224. Aznx 5/9/06 6:54:34 PM EDT: you cant?
  225. Aznx 5/9/06 6:54:39 PM EDT: i'll draw it then =P
  226. Aznx 5/9/06 6:54:47 PM EDT:
  227. Aznx 5/9/06 6:54:48 PM EDT:
  228. Aznx 5/9/06 6:54:51 PM EDT:
  229. Aznx 5/9/06 6:54:53 PM EDT:
  230. Aznx 5/9/06 6:54:55 PM EDT:
  231. Quicksilver 5/9/06 6:54:57 PM EDT: Yes
  232. Aznx 5/9/06 6:54:58 PM EDT:
  233. Aznx 5/9/06 6:55:01 PM EDT:
  234. Aznx 5/9/06 6:55:09 PM EDT:
  235. Aznx 5/9/06 6:55:10 PM EDT:
  236. Aznx 5/9/06 6:55:15 PM EDT:
  237. Aznx 5/9/06 6:55:17 PM EDT:
  238. Aznx 5/9/06 6:55:19 PM EDT:
  239. Aznx 5/9/06 6:55:25 PM EDT: agreed?
  240. Quicksilver 5/9/06 6:55:32 PM EDT: why can't I select to draw a line?
  241. Aznx 5/9/06 6:55:41 PM EDT:
  242. Aznx 5/9/06 6:55:44 PM EDT:
  243. Quicksilver 5/9/06 6:55:45 PM EDT: How did you guys do it?
  244. Aznx 5/9/06 6:55:45 PM EDT:
  245. Aznx 5/9/06 6:55:48 PM EDT:
  246. Aznx 5/9/06 6:55:49 PM EDT:
  247. Aznx 5/9/06 6:55:51 PM EDT:
  248. Aznx 5/9/06 6:55:53 PM EDT:
  249. Aznx 5/9/06 6:55:54 PM EDT:
  250. Aznx 5/9/06 6:55:56 PM EDT:
  251. Aznx 5/9/06 6:55:58 PM EDT:
  252. Aznx 5/9/06 6:56:00 PM EDT:
  253. Aznx 5/9/06 6:56:02 PM EDT:
  254. Aznx 5/9/06 6:56:10 PM EDT: There!
  255. Gerry 5/9/06 6:56:11 PM EDT: To point to the whiteboard, select the hand icon all the way on the left and pull out a rectangle around the object you are pointing to before you type your chat message
  256. Aznx 5/9/06 6:56:23 PM EDT:
  257. bwang8 5/9/06 6:56:29 PM EDT: wait isn't it 40 for # of sticks
  258. Aznx 5/9/06 6:56:37 PM EDT: Everyone agree with me?
  259. Aznx 5/9/06 6:56:43 PM EDT: Yeah
  260. bwang8 5/9/06 6:56:44 PM EDT: (15+5)*2
  261. Aznx 5/9/06 6:56:48 PM EDT: Um.
  262. Aznx 5/9/06 6:56:52 PM EDT: I switched them around
  263. Aznx 5/9/06 6:56:54 PM EDT: lol
  264. bwang8 5/9/06 6:57:04 PM EDT: ?
  265. Aznx 5/9/06 6:57:23 PM EDT: the numbers are correct
  266. bwang8 5/9/06 6:57:44 PM EDT: no
  267. Aznx 5/9/06 6:57:52 PM EDT: they're not on the right place
  268. bwang8 5/9/06 6:57:56 PM EDT: (15+5)*2=40
  269. Aznx 5/9/06 6:58:05 PM EDT: i wrote 40.
  270. bwang8 5/9/06 6:58:05 PM EDT: i know they are not in right place
  271. Aznx 5/9/06 6:58:09 PM EDT: yeah
  272. bwang8 5/9/06 6:58:10 PM EDT: oh
  273. Aznx 5/9/06 6:58:13 PM EDT: lol
  274. bwang8 5/9/06 6:58:18 PM EDT: i see 44
  275. bwang8 5/9/06 6:58:21 PM EDT:
  276. Aznx 5/9/06 6:58:31 PM EDT:
  277. Aznx 5/9/06 6:58:32 PM EDT:
  278. bwang8 5/9/06 6:58:33 PM EDT:
  279. Aznx 5/9/06 6:58:40 PM EDT:
  280. Aznx 5/9/06 6:58:45 PM EDT:
  281. bwang8 5/9/06 6:58:48 PM EDT:
  282. Aznx 5/9/06 6:59:02 PM EDT: bwang you can edit for all of them.
  283. Aznx 5/9/06 6:59:12 PM EDT: I'm just good that everyone agrees.
  284. Aznx 5/9/06 6:59:23 PM EDT: Aditya, you agree with all of them right?
  285. Gerry 5/9/06 7:00:35 PM EDT: Quicksilver, are you having technical problems with your computer today?
  286. Quicksilver 5/9/06 7:00:39 PM EDT: Well, anyway, you can see a pattern that the amount of squares increases by the n. For the sticks, The bottom row's square on the right has 2 new sticks. All the squares in the new row to the left of it have 3 new sticks. So, If te row has 5 squares, 4 of the squares have 3 sticks, the last on only has two. For the enitre Figure, you would add the amount to the previous ammount
  287. Gerry 5/9/06 7:01:37 PM EDT: OK. I see why it took you a while
  288. Quicksilver 5/9/06 7:01:54 PM EDT: My computer somehow wasn't receiving the messages
  289. Quicksilver 5/9/06 7:02:01 PM EDT: and the whitboard isn't showing anything
  290. Aznx 5/9/06 7:02:25 PM EDT: Your Java might not be updated.
  291. Aznx 5/9/06 7:02:39 PM EDT: I have a solution
  292. Quicksilver 5/9/06 7:02:42 PM EDT: And Did you guys really draw a table, because I don't see anything
  293. Quicksilver 5/9/06 7:02:42 PM EDT:
  294. Aznx 5/9/06 7:02:46 PM EDT: I can send in screenshots
  295. Aznx 5/9/06 7:02:53 PM EDT: and put the link of them here
  296. Quicksilver 5/9/06 7:03:13 PM EDT: I can't even see some of the messages I send
  297. Aznx 5/9/06 7:03:22 PM EDT: hold on
  298. Aznx 5/9/06 7:03:28 PM EDT: lemme make a screenshot
  299. Aznx 5/9/06 7:03:48 PM EDT: darn
  300. Aznx 5/9/06 7:03:51 PM EDT: i dont have paint
  301. Aznx 5/9/06 7:04:00 PM EDT: bwang can you do it for aditya?
  302. bwang8 5/9/06 7:04:05 PM EDT:
  303. bwang8 5/9/06 7:04:10 PM EDT:
  304. bwang8 5/9/06 7:04:11 PM EDT:
  305. bwang8 5/9/06 7:04:13 PM EDT:
  306. bwang8 5/9/06 7:04:15 PM EDT:
  307. bwang8 5/9/06 7:04:15 PM EDT:
  308. bwang8 5/9/06 7:04:16 PM EDT:
  309. bwang8 5/9/06 7:04:17 PM EDT:
  310. Quicksilver 5/9/06 7:04:19 PM EDT: Do waht?
  311. bwang8 5/9/06 7:04:25 PM EDT: ok
  312. jsarmi 5/9/06 7:04:25 PM EDT: joins the room
  313. Aznx 5/9/06 7:04:27 PM EDT: make a screenshot for you
  314. Aznx 5/9/06 7:04:32 PM EDT: so you can see the table
  315. Gerry 5/9/06 7:04:43 PM EDT: Maybe we should stop for today
  316. Aznx 5/9/06 7:04:48 PM EDT: Alright.
  317. jsarmi 5/9/06 7:04:50 PM EDT: Quicksilver... why don't you go ahead and close this window and try to enter again
  318. Gerry 5/9/06 7:05:10 PM EDT: and let jsarmi help Quicksilver get ready to Thursday
  319. jsarmi 5/9/06 7:05:27 PM EDT: (BTW, this room will now show up in the "My Rooms" tab not on the "Limited Access" one)
  320. bwang8 5/9/06 7:05:38 PM EDT:
  321. Quicksilver 5/9/06 7:05:43 PM EDT: leaves the room
  322. Gerry 5/9/06 7:05:48 PM EDT: You made a lot of progress already.
  323. Aznx 5/9/06 7:05:53 PM EDT: So do we leave?
  324. bwang8 5/9/06 7:05:58 PM EDT: this is the screenshot
  325. Aznx 5/9/06 7:06:01 PM EDT: And when do we come back?
  326. bwang8 5/9/06 7:06:05 PM EDT:
  327. Quicksilver 5/9/06 7:06:08 PM EDT: joins the room
  328. Quicksilver 5/9/06 7:06:32 PM EDT: That"S better
  329. jsarmi 5/9/06 7:06:35 PM EDT: Any better, Quicksilver?
  330. Quicksilver 5/9/06 7:06:39 PM EDT: yes
  331. jsarmi 5/9/06 7:06:41 PM EDT: awesome
  332. Quicksilver 5/9/06 7:06:44 PM EDT:
  333. Quicksilver 5/9/06 7:06:47 PM EDT:
  334. Gerry 5/9/06 7:06:51 PM EDT: I think we will have the next session at the same time on Thursday. You will come into the same room and start where you left off today
  335. jsarmi 5/9/06 7:07:06 PM EDT: that's correct... same time, same team, same room
  336. bwang8 5/9/06 7:07:12 PM EDT: ok
  337. Quicksilver 5/9/06 7:07:15 PM EDT: I have a dentis't appointment...I don't think I can come
  338. Aznx 5/9/06 7:07:16 PM EDT: Same time on Thursay...got it!
  339. bwang8 5/9/06 7:07:37 PM EDT: but aren't we done now with this problem
  340. Aznx 5/9/06 7:07:47 PM EDT: Yeah
  341. Aznx 5/9/06 7:07:56 PM EDT: So I guess we would start on the second problem?
  342. bwang8 5/9/06 7:08:05 PM EDT: ok
  343. Quicksilver 5/9/06 7:08:16 PM EDT: Did you guys discuss the problem like it said to?
  344. Aznx 5/9/06 7:08:21 PM EDT: Yeah.
  345. Quicksilver 5/9/06 7:08:22 PM EDT: i didn't get half the messages'
  346. Quicksilver 5/9/06 7:08:24 PM EDT: so i dont know
  347. bwang8 5/9/06 7:08:25 PM EDT: yeah
  348. Quicksilver 5/9/06 7:08:32 PM EDT: well thats good
  349. jsarmi 5/9/06 7:08:40 PM EDT: I will send you instructions on how to catch up, Quicksilver
  350. Gerry 5/9/06 7:08:44 PM EDT: Do you want to all come back two hours earlier on Thursday so Quicksilver does not have to miss it?
  351. Quicksilver 5/9/06 7:08:49 PM EDT: by email?
  352. Quicksilver 5/9/06 7:08:55 PM EDT: We still ahve school
  353. Quicksilver 5/9/06 7:09:01 PM EDT: until 3
  354. jsarmi 5/9/06 7:09:03 PM EDT: right
  355. Aznx 5/9/06 7:09:36 PM EDT: Yeah, Aditya's right.
  356. Quicksilver 5/9/06 7:09:45 PM EDT: Can we just reschedule for wednesday or something?
  357. jsarmi 5/9/06 7:11:03 PM EDT: If it works out for everyone, you could re-schedule... is that an option?
  358. Aznx 5/9/06 7:11:23 PM EDT: Wednesday should work for me.
  359. Quicksilver 5/9/06 7:11:31 PM EDT: it works for me
  360. Aznx 5/9/06 7:11:43 PM EDT: bwang?
  361. bwang8 5/9/06 7:11:50 PM EDT: yes
  362. Quicksilver 5/9/06 7:11:59 PM EDT: So this time tomorrow then
  363. Quicksilver 5/9/06 7:12:11 PM EDT: in place of thursdays
  364. bwang8 5/9/06 7:12:14 PM EDT: wednesday, 6-7 central?
  365. Aznx 5/9/06 7:12:34 PM EDT: Same time as today.
  366. Quicksilver 5/9/06 7:12:38 PM EDT: Yeah
  367. bwang8 5/9/06 7:12:44 PM EDT: ok
  368. Aznx 5/9/06 7:12:45 PM EDT: Except it's Wednesday instead of Thursday.
  369. Quicksilver 5/9/06 7:13:00 PM EDT: Great
  370. bwang8 5/9/06 7:13:06 PM EDT: is it just for us, or does it apply to all team
  371. bwang8 5/9/06 7:13:10 PM EDT: teams
  372. Quicksilver 5/9/06 7:13:17 PM EDT: I think it
  373. Quicksilver 5/9/06 7:13:19 PM EDT: is just us
  374. jsarmi 5/9/06 7:13:20 PM EDT: Just for you!!!
  375. Quicksilver 5/9/06 7:13:30 PM EDT: Thanks for changing it.
  376. Aznx 5/9/06 7:13:37 PM EDT: So will we start on a new problem?
  377. jsarmi 5/9/06 7:13:43 PM EDT: Is it clear to everyone???
  378. Aznx 5/9/06 7:13:46 PM EDT: Tomorrow?
  379. Quicksilver 5/9/06 7:13:48 PM EDT: Yes.
  380. bwang8 5/9/06 7:13:59 PM EDT: ok
  381. jsarmi 5/9/06 7:14:11 PM EDT: Some of you are on Central time and some of you on Pacific time, so do not get confused... same time as today
  382. bwang8 5/9/06 7:14:17 PM EDT: ok
  383. Quicksilver 5/9/06 7:14:25 PM EDT: Ok. See you tomorrow then.
  384. Aznx 5/9/06 7:14:30 PM EDT: So I guess it's farewell for today?
  385. bwang8 5/9/06 7:14:33 PM EDT: see you all
  386. bwang8 5/9/06 7:14:34 PM EDT: later
  387. Quicksilver 5/9/06 7:14:36 PM EDT: Yup.
  388. Gerry 5/9/06 7:14:37 PM EDT: Farewell
  389. Quicksilver 5/9/06 7:14:38 PM EDT: bye
  390. bwang8 5/9/06 7:14:39 PM EDT: bye
  391. bwang8 5/9/06 7:14:42 PM EDT: leaves the room
  392. Quicksilver 5/9/06 7:14:46 PM EDT: leaves the room
  393. Aznx 5/9/06 7:14:47 PM EDT: Bye everyone. =)
  394. Aznx 5/9/06 7:14:54 PM EDT: leaves the room
  395. Gerry 5/9/06 7:14:59 PM EDT: leaves the room
  396. jsarmi 5/9/06 7:15:05 PM EDT: leaves the room
  397. jsarmi 5/10/06 10:00:00 AM EDT: joins the room
  398. jsarmi 5/10/06 10:51:28 AM EDT: leaves the room
  399. tutor 5/10/06 2:14:26 PM EDT: joins the room
  400. tutor 5/10/06 2:14:38 PM EDT:
  401. rtoledosj 5/10/06 2:27:23 PM EDT: joins the room
  402. rtoledosj 5/10/06 2:30:27 PM EDT: leaves the room
  403. tutor 5/10/06 2:32:28 PM EDT: joins the room
  404. tutor 5/10/06 2:42:47 PM EDT: joins the room
  405. tutor 5/10/06 2:47:04 PM EDT: leaves the room
  406. tutor 5/10/06 3:08:58 PM EDT: joins the room
  407. tutor 5/10/06 3:40:59 PM EDT: leaves the room
  408. Gerry 5/10/06 4:23:19 PM EDT: joins the room
  409. Gerry 5/10/06 4:23:40 PM EDT:
  410. Gerry 5/10/06 4:24:40 PM EDT:
  411. Gerry 5/10/06 4:24:45 PM EDT:
  412. Gerry 5/10/06 4:24:49 PM EDT:
  413. Gerry 5/10/06 4:25:21 PM EDT:
  414. Gerry 5/10/06 4:25:24 PM EDT:
  415. Gerry 5/10/06 4:25:32 PM EDT:
  416. Gerry 5/10/06 4:25:48 PM EDT:
  417. Gerry 5/10/06 4:26:33 PM EDT:
  418. Gerry 5/10/06 4:27:03 PM EDT: Here is some feedback on your first session
  419. Gerry 5/10/06 4:27:15 PM EDT: leaves the room
  420. Gerry 5/10/06 6:50:16 PM EDT: joins the room
  421. Quicksilver 5/10/06 6:56:23 PM EDT: joins the room
  422. Aznx 5/10/06 6:57:30 PM EDT: joins the room
  423. Quicksilver 5/10/06 6:58:36 PM EDT: bwang just left the lobby...
  424. Quicksilver 5/10/06 6:59:44 PM EDT: i have a question: i accidentally got this arrow onto my name...how do i take it off?
  425. Gerry 5/10/06 7:00:34 PM EDT: You cannot remove it once your message is posted. It is used to point to a previous message or part of the whiteboard
  426. Quicksilver 5/10/06 7:00:43 PM EDT: I know
  427. bwang8 5/10/06 7:00:46 PM EDT: joins the room
  428. Quicksilver 5/10/06 7:00:47 PM EDT: but when i'm typing
  429. Quicksilver 5/10/06 7:00:48 PM EDT:
  430. Quicksilver 5/10/06 7:00:52 PM EDT: how do i take it off then?
  431. Gerry 5/10/06 7:01:07 PM EDT: when you are typing, hit the Esc key to get rid of it
  432. Quicksilver 5/10/06 7:01:12 PM EDT: ok
  433. Quicksilver 5/10/06 7:01:39 PM EDT:
  434. Gerry 5/10/06 7:01:41 PM EDT: Hi everyone!
  435. bwang8 5/10/06 7:01:47 PM EDT: hello
  436. Quicksilver 5/10/06 7:01:54 PM EDT: Hello!
  437. bwang8 5/10/06 7:01:56 PM EDT:
  438. Gerry 5/10/06 7:02:03 PM EDT: You have some feedback and a new Topic
  439. Aznx 5/10/06 7:02:13 PM EDT: Has everyone read the feedback?
  440. Quicksilver 5/10/06 7:02:17 PM EDT: yup
  441. Quicksilver 5/10/06 7:02:25 PM EDT: NOw we have to discuss
  442. bwang8 5/10/06 7:02:28 PM EDT: yes
  443. Quicksilver 5/10/06 7:03:01 PM EDT: Well,, the part about converstaion not happening is because of me
  444. Quicksilver 5/10/06 7:03:06 PM EDT: my computer was lagging....
  445. Quicksilver 5/10/06 7:03:12 PM EDT: but that's out of our hands
  446. Aznx 5/10/06 7:03:17 PM EDT: So, I think we should focus on discussing on each step more.
  447. Quicksilver 5/10/06 7:03:30 PM EDT: and explain every answer thoroughly
  448. Aznx 5/10/06 7:03:40 PM EDT: Even if the answer was "obvious."
  449. bwang8 5/10/06 7:03:48 PM EDT: ok
  450. Quicksilver 5/10/06 7:03:49 PM EDT: like i gave a wrong answer, but my explanations didn't come up on the computer because of the lag
  451. Quicksilver 5/10/06 7:03:58 PM EDT: so thats one thing
  452. Quicksilver 5/10/06 7:04:12 PM EDT: maybe think of more ways of doing the same problem?
  453. Aznx 5/10/06 7:04:21 PM EDT: Yeah.
  454. Aznx 5/10/06 7:04:35 PM EDT: Thinking of more than gneralized idea might help us understand the topic more.
  455. Quicksilver 5/10/06 7:04:42 PM EDT: Yes
  456. bwang8 5/10/06 7:04:47 PM EDT: ok
  457. Quicksilver 5/10/06 7:04:50 PM EDT: Now did you two read today's topic?
  458. bwang8 5/10/06 7:05:08 PM EDT: what was your pattern of growth, quicksiler
  459. Quicksilver 5/10/06 7:06:20 PM EDT: i think it was something about the amount of squares that increased with each row....and how one of the new squares had 3 new sticks while the other new ones had 2 new sticks
  460. Quicksilver 5/10/06 7:06:37 PM EDT:
  461. bwang8 5/10/06 7:06:41 PM EDT: oh, ok
  462. Quicksilver 5/10/06 7:06:41 PM EDT:
  463. Quicksilver 5/10/06 7:06:43 PM EDT:
  464. Quicksilver 5/10/06 7:06:47 PM EDT:
  465. Quicksilver 5/10/06 7:06:50 PM EDT:
  466. Quicksilver 5/10/06 7:06:57 PM EDT:
  467. Quicksilver 5/10/06 7:06:59 PM EDT:
  468. Quicksilver 5/10/06 7:07:07 PM EDT: i drew some sqaures
  469. Quicksilver 5/10/06 7:07:19 PM EDT: the left one had three new sticks
  470. Quicksilver 5/10/06 7:07:33 PM EDT: the right one has a new stick on the bottom and on the right
  471. Quicksilver 5/10/06 7:07:39 PM EDT: the top one is from an old square
  472. Gerry 5/10/06 7:07:40 PM EDT: It was at 7:00:39 -- to get the old messages, click on the icon above here with the two circular arrows
  473. bwang8 5/10/06 7:07:52 PM EDT:
  474. Quicksilver 5/10/06 7:07:58 PM EDT:
  475. Quicksilver 5/10/06 7:09:09 PM EDT: yea it's at the very top. but i think there ae errors in that paragraph
  476. Quicksilver 5/10/06 7:09:25 PM EDT: yea that's wrong
  477. Aznx 5/10/06 7:09:33 PM EDT: So let's brainstorm through some problems that we think are challenging.
  478. Quicksilver 5/10/06 7:09:40 PM EDT: yes...new topic
  479. bwang8 5/10/06 7:09:42 PM EDT: ok
  480. Quicksilver 5/10/06 7:10:20 PM EDT: 3-d figures?
  481. Quicksilver 5/10/06 7:10:48 PM EDT:
  482. Quicksilver 5/10/06 7:10:51 PM EDT:
  483. Quicksilver 5/10/06 7:10:53 PM EDT:
  484. Quicksilver 5/10/06 7:10:56 PM EDT:
  485. Quicksilver 5/10/06 7:10:59 PM EDT:
  486. Quicksilver 5/10/06 7:11:02 PM EDT:
  487. Aznx 5/10/06 7:11:06 PM EDT: I think we should discuss on the different methods.
  488. Aznx 5/10/06 7:11:24 PM EDT: So that we can easily apply our thoughts quickly when seeing a problem.
  489. Quicksilver 5/10/06 7:11:30 PM EDT: Yes....but we must find a question or problem to investigate
  490. Aznx 5/10/06 7:11:37 PM EDT: Yeah.
  491. Quicksilver 5/10/06 7:11:48 PM EDT:
  492. Quicksilver 5/10/06 7:11:50 PM EDT:
  493. Aznx 5/10/06 7:11:50 PM EDT: I think we should start off with a conjecture, that we need to prove.
  494. Quicksilver 5/10/06 7:11:52 PM EDT:
  495. Quicksilver 5/10/06 7:11:55 PM EDT:
  496. Quicksilver 5/10/06 7:11:57 PM EDT:
  497. Aznx 5/10/06 7:12:03 PM EDT: Not a hard one, but one that can be challenging.
  498. Quicksilver 5/10/06 7:12:17 PM EDT: Maybe a row of blocks
  499. Quicksilver 5/10/06 7:12:27 PM EDT: likethis
  500. Aznx 5/10/06 7:12:44 PM EDT: What about them?
  501. Quicksilver 5/10/06 7:12:59 PM EDT: The amount of sticks may increase in a pattern?
  502. bwang8 5/10/06 7:13:01 PM EDT: The problem from yesterday, but only 3-d
  503. Quicksilver 5/10/06 7:13:07 PM EDT: yea i guess
  504. Quicksilver 5/10/06 7:13:09 PM EDT: not that good
  505. Quicksilver 5/10/06 7:13:18 PM EDT: maybe a pyramind
  506. bwang8 5/10/06 7:13:24 PM EDT: yeah
  507. Quicksilver 5/10/06 7:13:30 PM EDT: although that's hard to draw
  508. bwang8 5/10/06 7:13:35 PM EDT: pryamind is good
  509. Aznx 5/10/06 7:13:36 PM EDT: Yeah, I liked that.
  510. Quicksilver 5/10/06 7:13:36 PM EDT: but we shoudl be able to managt
  511. Quicksilver 5/10/06 7:13:36 PM EDT: e
  512. Quicksilver 5/10/06 7:13:41 PM EDT:
  513. Quicksilver 5/10/06 7:13:50 PM EDT:
  514. Quicksilver 5/10/06 7:13:53 PM EDT:
  515. Quicksilver 5/10/06 7:13:55 PM EDT:
  516. Quicksilver 5/10/06 7:13:57 PM EDT:
  517. Quicksilver 5/10/06 7:13:58 PM EDT:
  518. Quicksilver 5/10/06 7:14:00 PM EDT:
  519. Quicksilver 5/10/06 7:14:06 PM EDT:
  520. Quicksilver 5/10/06 7:14:07 PM EDT:
  521. Quicksilver 5/10/06 7:14:10 PM EDT:
  522. Quicksilver 5/10/06 7:14:12 PM EDT:
  523. Quicksilver 5/10/06 7:14:14 PM EDT:
  524. Quicksilver 5/10/06 7:14:16 PM EDT:
  525. Quicksilver 5/10/06 7:14:17 PM EDT:
  526. Quicksilver 5/10/06 7:14:25 PM EDT: side view
  527. bwang8 5/10/06 7:14:56 PM EDT: isn't this the same as yesterday problem
  528. Quicksilver 5/10/06 7:15:03 PM EDT: Really?
  529. Aznx 5/10/06 7:15:10 PM EDT: Except it's 3-D.
  530. Quicksilver 5/10/06 7:15:12 PM EDT: no it's three d
  531. bwang8 5/10/06 7:15:16 PM EDT: ok
  532. Aznx 5/10/06 7:15:16 PM EDT: So there would be more sticks
  533. Aznx 5/10/06 7:15:19 PM EDT: and blocks
  534. Quicksilver 5/10/06 7:15:30 PM EDT: and i was thinking of like 9 bricks on the bottom and 4 in the middle and 1 on top
  535. Aznx 5/10/06 7:16:45 PM EDT: So, how should we approach this?
  536. Aznx 5/10/06 7:16:54 PM EDT: What can we use that we already know?
  537. Quicksilver 5/10/06 7:16:57 PM EDT: Layer by layer shown in a chart?
  538. bwang8 5/10/06 7:17:01 PM EDT: well we can divide it into a front and a back
  539. Aznx 5/10/06 7:17:02 PM EDT: I'd suggest yesterday's problem.
  540. bwang8 5/10/06 7:17:10 PM EDT: yeah
  541. bwang8 5/10/06 7:17:22 PM EDT: using the formula from yesterday's problem
  542. bwang8 5/10/06 7:17:32 PM EDT: we can figure the front and back easily
  543. Quicksilver 5/10/06 7:17:36 PM EDT: this
  544. bwang8 5/10/06 7:17:43 PM EDT: we just need to find the center
  545. bwang8 5/10/06 7:18:06 PM EDT:
  546. bwang8 5/10/06 7:18:08 PM EDT:
  547. bwang8 5/10/06 7:18:10 PM EDT:
  548. bwang8 5/10/06 7:18:13 PM EDT:
  549. Quicksilver 5/10/06 7:18:13 PM EDT: Oh!! Wait...Your thinking of the kind of pyramid that is flat on one whole edge
  550. bwang8 5/10/06 7:18:15 PM EDT:
  551. bwang8 5/10/06 7:18:21 PM EDT:
  552. bwang8 5/10/06 7:18:24 PM EDT:
  553. bwang8 5/10/06 7:18:27 PM EDT:
  554. bwang8 5/10/06 7:18:30 PM EDT:
  555. Quicksilver 5/10/06 7:18:32 PM EDT: I mean like a real pyramid that each layer is completely centered
  556. bwang8 5/10/06 7:18:33 PM EDT:
  557. bwang8 5/10/06 7:18:35 PM EDT:
  558. bwang8 5/10/06 7:18:40 PM EDT:
  559. bwang8 5/10/06 7:18:42 PM EDT:
  560. Aznx 5/10/06 7:18:44 PM EDT: Draw it.
  561. bwang8 5/10/06 7:18:44 PM EDT:
  562. Quicksilver 5/10/06 7:18:57 PM EDT: i'll try
  563. Quicksilver 5/10/06 7:19:07 PM EDT:
  564. Quicksilver 5/10/06 7:19:11 PM EDT:
  565. Quicksilver 5/10/06 7:19:14 PM EDT:
  566. Quicksilver 5/10/06 7:19:17 PM EDT:
  567. Quicksilver 5/10/06 7:19:21 PM EDT:
  568. Quicksilver 5/10/06 7:19:24 PM EDT:
  569. bwang8 5/10/06 7:19:24 PM EDT: use the rectangle tool, it's easier
  570. Quicksilver 5/10/06 7:19:28 PM EDT:
  571. Quicksilver 5/10/06 7:19:30 PM EDT:
  572. bwang8 5/10/06 7:19:32 PM EDT:
  573. Aznx 5/10/06 7:19:32 PM EDT: Yeah.
  574. Quicksilver 5/10/06 7:19:33 PM EDT: k
  575. bwang8 5/10/06 7:19:35 PM EDT:
  576. Quicksilver 5/10/06 7:19:37 PM EDT:
  577. Quicksilver 5/10/06 7:19:38 PM EDT:
  578. Quicksilver 5/10/06 7:19:44 PM EDT:
  579. bwang8 5/10/06 7:19:44 PM EDT: o ic
  580. Quicksilver 5/10/06 7:19:46 PM EDT:
  581. Quicksilver 5/10/06 7:19:49 PM EDT: top view
  582. Quicksilver 5/10/06 7:19:56 PM EDT:
  583. Quicksilver 5/10/06 7:19:58 PM EDT:
  584. Quicksilver 5/10/06 7:20:01 PM EDT:
  585. Quicksilver 5/10/06 7:20:04 PM EDT:
  586. Quicksilver 5/10/06 7:20:07 PM EDT:
  587. Quicksilver 5/10/06 7:20:09 PM EDT:
  588. Quicksilver 5/10/06 7:20:16 PM EDT: something like that
  589. bwang8 5/10/06 7:20:19 PM EDT: i c what you mean
  590. Quicksilver 5/10/06 7:20:27 PM EDT: do u aznx?
  591. Aznx 5/10/06 7:20:30 PM EDT: Since we're both in Spanish class, are you saying something what the Aztecs made?
  592. bwang8 5/10/06 7:20:30 PM EDT: this prob is kinda hard
  593. Aznx 5/10/06 7:20:41 PM EDT: The pyramid?
  594. Quicksilver 5/10/06 7:20:43 PM EDT: I don't know!!!
  595. Quicksilver 5/10/06 7:20:46 PM EDT: Probably
  596. Aznx 5/10/06 7:20:49 PM EDT: lol
  597. Aznx 5/10/06 7:20:51 PM EDT: I get it.
  598. Aznx 5/10/06 7:21:00 PM EDT:
  599. Quicksilver 5/10/06 7:21:02 PM EDT: Let's go back to original idea: the flat face
  600. Aznx 5/10/06 7:21:03 PM EDT:
  601. Aznx 5/10/06 7:21:05 PM EDT:
  602. Aznx 5/10/06 7:21:07 PM EDT:
  603. Quicksilver 5/10/06 7:21:08 PM EDT: then we can try and get this from that
  604. Aznx 5/10/06 7:21:09 PM EDT:
  605. Aznx 5/10/06 7:21:10 PM EDT:
  606. Aznx 5/10/06 7:21:13 PM EDT:
  607. Aznx 5/10/06 7:21:14 PM EDT:
  608. Aznx 5/10/06 7:21:16 PM EDT:
  609. Aznx 5/10/06 7:21:17 PM EDT:
  610. Aznx 5/10/06 7:21:20 PM EDT:
  611. Aznx 5/10/06 7:21:23 PM EDT:
  612. Aznx 5/10/06 7:21:25 PM EDT:
  613. Quicksilver 5/10/06 7:21:36 PM EDT:
  614. Quicksilver 5/10/06 7:21:42 PM EDT:
  615. Quicksilver 5/10/06 7:21:44 PM EDT:
  616. bwang8 5/10/06 7:21:46 PM EDT:
  617. Quicksilver 5/10/06 7:21:47 PM EDT:
  618. Quicksilver 5/10/06 7:21:48 PM EDT:
  619. Quicksilver 5/10/06 7:21:49 PM EDT:
  620. Quicksilver 5/10/06 7:21:50 PM EDT:
  621. Quicksilver 5/10/06 7:21:50 PM EDT:
  622. Quicksilver 5/10/06 7:22:06 PM EDT: So we are going back to the flat faced one? Agree?
  623. Quicksilver 5/10/06 7:22:07 PM EDT:
  624. Aznx 5/10/06 7:22:39 PM EDT: Agree.
  625. bwang8 5/10/06 7:22:46 PM EDT: we can first figure out the bottom level
  626. Quicksilver 5/10/06 7:22:49 PM EDT: In that case, someone should post the problem on the wiki.
  627. bwang8 5/10/06 7:22:50 PM EDT: agree
  628. Quicksilver 5/10/06 7:22:59 PM EDT: Yes
  629. Quicksilver 5/10/06 7:23:03 PM EDT: the amount of sticks
  630. bwang8 5/10/06 7:23:15 PM EDT:
  631. bwang8 5/10/06 7:23:17 PM EDT:
  632. Aznx 5/10/06 7:23:21 PM EDT: How about
  633. bwang8 5/10/06 7:23:29 PM EDT:
  634. Quicksilver 5/10/06 7:23:34 PM EDT: How many blocks do we want though?
  635. bwang8 5/10/06 7:23:34 PM EDT:
  636. Aznx 5/10/06 7:23:42 PM EDT: Instead of a triangular format of the sticks, we do the one you jsut made: the board format?
  637. bwang8 5/10/06 7:23:50 PM EDT:
  638. bwang8 5/10/06 7:23:50 PM EDT:
  639. bwang8 5/10/06 7:23:50 PM EDT:
  640. bwang8 5/10/06 7:23:50 PM EDT:
  641. bwang8 5/10/06 7:23:50 PM EDT:
  642. bwang8 5/10/06 7:23:50 PM EDT:
  643. bwang8 5/10/06 7:23:50 PM EDT:
  644. bwang8 5/10/06 7:23:50 PM EDT:
  645. bwang8 5/10/06 7:23:50 PM EDT:
  646. bwang8 5/10/06 7:23:50 PM EDT:
  647. bwang8 5/10/06 7:23:50 PM EDT:
  648. bwang8 5/10/06 7:23:51 PM EDT:
  649. bwang8 5/10/06 7:23:51 PM EDT:
  650. bwang8 5/10/06 7:23:56 PM EDT:
  651. bwang8 5/10/06 7:23:58 PM EDT:
  652. bwang8 5/10/06 7:24:02 PM EDT:
  653. Quicksilver 5/10/06 7:24:18 PM EDT: what do u mean?
  654. Quicksilver 5/10/06 7:24:20 PM EDT:
  655. Quicksilver 5/10/06 7:24:27 PM EDT:
  656. Aznx 5/10/06 7:24:30 PM EDT:
  657. Aznx 5/10/06 7:24:32 PM EDT:
  658. Aznx 5/10/06 7:24:34 PM EDT:
  659. Aznx 5/10/06 7:24:36 PM EDT:
  660. Aznx 5/10/06 7:24:42 PM EDT: Look at my arrow.
  661. Quicksilver 5/10/06 7:24:42 PM EDT: ok
  662. Aznx 5/10/06 7:24:49 PM EDT: So you start off with one block.
  663. Quicksilver 5/10/06 7:24:52 PM EDT: And that's a top view right
  664. Aznx 5/10/06 7:25:00 PM EDT: Yes.
  665. Quicksilver 5/10/06 7:25:04 PM EDT: Well there's a problem
  666. Quicksilver 5/10/06 7:25:14 PM EDT:
  667. Quicksilver 5/10/06 7:25:23 PM EDT:
  668. Quicksilver 5/10/06 7:25:28 PM EDT:
  669. Aznx 5/10/06 7:25:34 PM EDT: So, the first one has 1 block.
  670. Quicksilver 5/10/06 7:25:37 PM EDT:
  671. Aznx 5/10/06 7:25:41 PM EDT: and four sticks
  672. Quicksilver 5/10/06 7:25:48 PM EDT: first block
  673. Aznx 5/10/06 7:25:51 PM EDT: The second one has 5 blocks.
  674. Aznx 5/10/06 7:25:59 PM EDT: Wait
  675. Quicksilver 5/10/06 7:26:00 PM EDT: no it is 3
  676. Quicksilver 5/10/06 7:26:02 PM EDT: d
  677. Aznx 5/10/06 7:26:03 PM EDT: You're doing it wrong.
  678. Quicksilver 5/10/06 7:26:04 PM EDT: 3d
  679. Aznx 5/10/06 7:26:12 PM EDT: You want to do 3-D?
  680. Quicksilver 5/10/06 7:26:27 PM EDT: Bwang8, what are we doing?
  681. bwang8 5/10/06 7:26:30 PM EDT: ?
  682. bwang8 5/10/06 7:26:41 PM EDT: you are trying to find a pattern
  683. bwang8 5/10/06 7:26:53 PM EDT: divide them up into levels
  684. Quicksilver 5/10/06 7:27:01 PM EDT: Oh.....
  685. Quicksilver 5/10/06 7:27:05 PM EDT: so that is the bottom level
  686. Quicksilver 5/10/06 7:27:06 PM EDT: I get it
  687. Quicksilver 5/10/06 7:27:18 PM EDT:
  688. Quicksilver 5/10/06 7:27:21 PM EDT:
  689. Quicksilver 5/10/06 7:27:24 PM EDT:
  690. Quicksilver 5/10/06 7:27:26 PM EDT:
  691. Quicksilver 5/10/06 7:27:30 PM EDT:
  692. Quicksilver 5/10/06 7:27:32 PM EDT:
  693. Quicksilver 5/10/06 7:27:32 PM EDT:
  694. Quicksilver 5/10/06 7:27:34 PM EDT:
  695. Quicksilver 5/10/06 7:27:35 PM EDT:
  696. Quicksilver 5/10/06 7:27:35 PM EDT:
  697. Quicksilver 5/10/06 7:27:39 PM EDT:
  698. Quicksilver 5/10/06 7:27:39 PM EDT:
  699. Quicksilver 5/10/06 7:27:42 PM EDT:
  700. bwang8 5/10/06 7:27:42 PM EDT: oops
  701. bwang8 5/10/06 7:27:45 PM EDT: lol
  702. Quicksilver 5/10/06 7:27:45 PM EDT:
  703. Quicksilver 5/10/06 7:27:52 PM EDT: what?
  704. bwang8 5/10/06 7:27:55 PM EDT: the last level have 9
  705. Quicksilver 5/10/06 7:28:07 PM EDT: yeah
  706. Quicksilver 5/10/06 7:28:11 PM EDT:
  707. Quicksilver 5/10/06 7:28:15 PM EDT:
  708. Quicksilver 5/10/06 7:28:20 PM EDT:
  709. Quicksilver 5/10/06 7:28:23 PM EDT:
  710. Quicksilver 5/10/06 7:28:27 PM EDT:
  711. bwang8 5/10/06 7:28:28 PM EDT: so we will just have to figure out how many sticks make up 3 by 3 blocks
  712. Quicksilver 5/10/06 7:28:34 PM EDT:
  713. Quicksilver 5/10/06 7:28:52 PM EDT:
  714. Quicksilver 5/10/06 7:28:58 PM EDT:
  715. Quicksilver 5/10/06 7:29:02 PM EDT:
  716. Quicksilver 5/10/06 7:29:03 PM EDT:
  717. Aznx 5/10/06 7:29:06 PM EDT: Yes.
  718. Quicksilver 5/10/06 7:29:07 PM EDT:
  719. Aznx 5/10/06 7:29:15 PM EDT: After that, we go up to Nth step.
  720. Quicksilver 5/10/06 7:29:20 PM EDT: Yes
  721. Quicksilver 5/10/06 7:29:22 PM EDT:
  722. Quicksilver 5/10/06 7:29:24 PM EDT:
  723. Quicksilver 5/10/06 7:29:26 PM EDT:
  724. Quicksilver 5/10/06 7:29:26 PM EDT:
  725. Quicksilver 5/10/06 7:29:27 PM EDT:
  726. Quicksilver 5/10/06 7:29:28 PM EDT:
  727. Quicksilver 5/10/06 7:29:28 PM EDT:
  728. Quicksilver 5/10/06 7:29:48 PM EDT:
  729. Quicksilver 5/10/06 7:29:53 PM EDT:
  730. Quicksilver 5/10/06 7:30:03 PM EDT:
  731. Quicksilver 5/10/06 7:30:06 PM EDT:
  732. bwang8 5/10/06 7:30:07 PM EDT: ok, how do we figure that out
  733. Quicksilver 5/10/06 7:30:12 PM EDT:
  734. bwang8 5/10/06 7:30:17 PM EDT: 3*3 blocks
  735. Quicksilver 5/10/06 7:30:17 PM EDT:
  736. Quicksilver 5/10/06 7:30:26 PM EDT: Break it down
  737. Aznx 5/10/06 7:30:27 PM EDT: I'd say look for a pattern.
  738. Quicksilver 5/10/06 7:30:30 PM EDT:
  739. Aznx 5/10/06 7:30:33 PM EDT: and yes, break it down.
  740. Quicksilver 5/10/06 7:30:34 PM EDT:
  741. Aznx 5/10/06 7:30:40 PM EDT: What other possible ways are there?
  742. Aznx 5/10/06 7:30:44 PM EDT: That we know of?
  743. bwang8 5/10/06 7:30:52 PM EDT: top, middle and bottom
  744. Quicksilver 5/10/06 7:31:17 PM EDT:
  745. Quicksilver 5/10/06 7:31:17 PM EDT:
  746. Quicksilver 5/10/06 7:31:19 PM EDT:
  747. Quicksilver 5/10/06 7:31:19 PM EDT:
  748. Quicksilver 5/10/06 7:31:21 PM EDT:
  749. Quicksilver 5/10/06 7:31:21 PM EDT:
  750. bwang8 5/10/06 7:31:29 PM EDT: top and bottom are 3 by 3 squares
  751. Quicksilver 5/10/06 7:31:33 PM EDT: whoops i drew it wrong
  752. Quicksilver 5/10/06 7:31:36 PM EDT: but yes
  753. bwang8 5/10/06 7:32:27 PM EDT: do you mind if i erase some yesterday stuff?
  754. bwang8 5/10/06 7:32:34 PM EDT:
  755. Quicksilver 5/10/06 7:32:34 PM EDT: yea u can do it
  756. bwang8 5/10/06 7:32:36 PM EDT:
  757. Aznx 5/10/06 7:32:36 PM EDT: Not at all.
  758. bwang8 5/10/06 7:32:41 PM EDT:
  759. Aznx 5/10/06 7:32:42 PM EDT: You can surely do it.
  760. bwang8 5/10/06 7:32:43 PM EDT:
  761. bwang8 5/10/06 7:32:44 PM EDT:
  762. bwang8 5/10/06 7:32:45 PM EDT:
  763. bwang8 5/10/06 7:32:46 PM EDT:
  764. bwang8 5/10/06 7:32:47 PM EDT:
  765. bwang8 5/10/06 7:32:49 PM EDT:
  766. bwang8 5/10/06 7:32:51 PM EDT:
  767. bwang8 5/10/06 7:32:52 PM EDT:
  768. bwang8 5/10/06 7:32:54 PM EDT:
  769. bwang8 5/10/06 7:32:55 PM EDT:
  770. bwang8 5/10/06 7:32:56 PM EDT:
  771. bwang8 5/10/06 7:32:57 PM EDT:
  772. bwang8 5/10/06 7:32:58 PM EDT:
  773. bwang8 5/10/06 7:33:00 PM EDT:
  774. bwang8 5/10/06 7:33:01 PM EDT:
  775. bwang8 5/10/06 7:33:02 PM EDT:
  776. bwang8 5/10/06 7:33:05 PM EDT:
  777. bwang8 5/10/06 7:33:07 PM EDT:
  778. bwang8 5/10/06 7:33:09 PM EDT:
  779. bwang8 5/10/06 7:33:12 PM EDT:
  780. bwang8 5/10/06 7:33:13 PM EDT:
  781. bwang8 5/10/06 7:33:15 PM EDT:
  782. bwang8 5/10/06 7:33:18 PM EDT:
  783. bwang8 5/10/06 7:33:19 PM EDT:
  784. bwang8 5/10/06 7:33:22 PM EDT:
  785. bwang8 5/10/06 7:33:24 PM EDT:
  786. bwang8 5/10/06 7:33:25 PM EDT:
  787. bwang8 5/10/06 7:33:27 PM EDT:
  788. bwang8 5/10/06 7:33:30 PM EDT:
  789. bwang8 5/10/06 7:33:32 PM EDT:
  790. bwang8 5/10/06 7:33:34 PM EDT:
  791. bwang8 5/10/06 7:33:36 PM EDT:
  792. bwang8 5/10/06 7:33:37 PM EDT:
  793. bwang8 5/10/06 7:33:39 PM EDT:
  794. bwang8 5/10/06 7:33:40 PM EDT:
  795. bwang8 5/10/06 7:33:42 PM EDT:
  796. bwang8 5/10/06 7:33:43 PM EDT:
  797. bwang8 5/10/06 7:33:45 PM EDT:
  798. bwang8 5/10/06 7:33:47 PM EDT:
  799. bwang8 5/10/06 7:33:48 PM EDT:
  800. bwang8 5/10/06 7:33:57 PM EDT: when they combine
  801. bwang8 5/10/06 7:34:05 PM EDT: they make a 3 by 3 square
  802. Quicksilver 5/10/06 7:34:08 PM EDT: yes
  803. Quicksilver 5/10/06 7:34:14 PM EDT: so just count these
  804. bwang8 5/10/06 7:34:28 PM EDT: and the equation for it is 2N(N+1)
  805. bwang8 5/10/06 7:34:35 PM EDT: right?
  806. bwang8 5/10/06 7:34:38 PM EDT:
  807. bwang8 5/10/06 7:34:40 PM EDT:
  808. bwang8 5/10/06 7:34:58 PM EDT: N is the level
  809. Quicksilver 5/10/06 7:34:59 PM EDT: I don't know
  810. Aznx 5/10/06 7:35:04 PM EDT: Prove it.
  811. Quicksilver 5/10/06 7:35:11 PM EDT: Where did you get it?
  812. Aznx 5/10/06 7:35:16 PM EDT: I'll help you as you go along.
  813. Aznx 5/10/06 7:35:27 PM EDT: I kind of get it, but not clearly.
  814. bwang8 5/10/06 7:35:27 PM EDT: i mean just from the top and bottom 3 by 3 squares
  815. Aznx 5/10/06 7:35:44 PM EDT: Where did the 2 come from?
  816. bwang8 5/10/06 7:35:54 PM EDT: this is 3(3+1)
  817. Quicksilver 5/10/06 7:36:05 PM EDT: ok
  818. Aznx 5/10/06 7:36:05 PM EDT: Ah.
  819. Quicksilver 5/10/06 7:36:07 PM EDT: i c
  820. Aznx 5/10/06 7:36:08 PM EDT: I get it.
  821. bwang8 5/10/06 7:36:10 PM EDT: ok
  822. bwang8 5/10/06 7:36:32 PM EDT: so now we get the top and bottom
  823. bwang8 5/10/06 7:36:40 PM EDT: we need to find the middle
  824. Quicksilver 5/10/06 7:37:14 PM EDT: i don't understand something
  825. Quicksilver 5/10/06 7:37:15 PM EDT:
  826. Quicksilver 5/10/06 7:37:15 PM EDT:
  827. Quicksilver 5/10/06 7:37:15 PM EDT:
  828. Quicksilver 5/10/06 7:37:19 PM EDT: sorry\\
  829. Quicksilver 5/10/06 7:37:28 PM EDT: um...what do you mean it is the top and bottom
  830. bwang8 5/10/06 7:37:37 PM EDT: oh
  831. Quicksilver 5/10/06 7:37:39 PM EDT: it is a pyramid with a flat face right
  832. Quicksilver 5/10/06 7:37:45 PM EDT:
  833. bwang8 5/10/06 7:37:47 PM EDT: let me explain
  834. Quicksilver 5/10/06 7:37:50 PM EDT:
  835. bwang8 5/10/06 7:37:53 PM EDT:
  836. bwang8 5/10/06 7:37:54 PM EDT:
  837. Quicksilver 5/10/06 7:37:56 PM EDT:
  838. bwang8 5/10/06 7:37:59 PM EDT:
  839. Quicksilver 5/10/06 7:38:01 PM EDT:
  840. bwang8 5/10/06 7:38:05 PM EDT:
  841. bwang8 5/10/06 7:38:08 PM EDT:
  842. bwang8 5/10/06 7:38:11 PM EDT:
  843. bwang8 5/10/06 7:38:15 PM EDT:
  844. bwang8 5/10/06 7:38:18 PM EDT:
  845. bwang8 5/10/06 7:38:22 PM EDT:
  846. bwang8 5/10/06 7:38:25 PM EDT:
  847. bwang8 5/10/06 7:38:28 PM EDT:
  848. bwang8 5/10/06 7:38:30 PM EDT:
  849. bwang8 5/10/06 7:38:32 PM EDT:
  850. bwang8 5/10/06 7:38:34 PM EDT:
  851. bwang8 5/10/06 7:38:36 PM EDT:
  852. bwang8 5/10/06 7:38:38 PM EDT:
  853. Quicksilver 5/10/06 7:38:38 PM EDT: This face could go againts a wall(this is a top view)
  854. bwang8 5/10/06 7:38:48 PM EDT: it is just a way to divide the problem
  855. Quicksilver 5/10/06 7:38:57 PM EDT:
  856. Quicksilver 5/10/06 7:39:05 PM EDT: so the yellow is the top level?
  857. bwang8 5/10/06 7:39:06 PM EDT:
  858. bwang8 5/10/06 7:39:07 PM EDT:
  859. bwang8 5/10/06 7:39:09 PM EDT:
  860. bwang8 5/10/06 7:39:11 PM EDT:
  861. bwang8 5/10/06 7:39:12 PM EDT:
  862. bwang8 5/10/06 7:39:14 PM EDT:
  863. bwang8 5/10/06 7:39:15 PM EDT:
  864. bwang8 5/10/06 7:39:17 PM EDT:
  865. bwang8 5/10/06 7:39:18 PM EDT:
  866. bwang8 5/10/06 7:39:20 PM EDT:
  867. Quicksilver 5/10/06 7:39:21 PM EDT:
  868. Quicksilver 5/10/06 7:39:27 PM EDT:
  869. Quicksilver 5/10/06 7:39:30 PM EDT:
  870. Quicksilver 5/10/06 7:39:32 PM EDT:
  871. Quicksilver 5/10/06 7:39:35 PM EDT:
  872. Quicksilver 5/10/06 7:39:37 PM EDT:
  873. bwang8 5/10/06 7:39:45 PM EDT: we are just focusing on the bottommost level
  874. Aznx 5/10/06 7:39:54 PM EDT: Yeah.
  875. bwang8 5/10/06 7:40:04 PM EDT: and all those edges with scribble on it are the top
  876. Quicksilver 5/10/06 7:40:18 PM EDT: So this is against the floor underneath the other two levels
  877. bwang8 5/10/06 7:40:35 PM EDT: yes
  878. Quicksilver 5/10/06 7:40:43 PM EDT: ok...continue then
  879. bwang8 5/10/06 7:41:02 PM EDT: all the vertical lines are consider the middle
  880. Quicksilver 5/10/06 7:41:21 PM EDT: ok
  881. bwang8 5/10/06 7:41:32 PM EDT: and the rest are the bottom
  882. bwang8 5/10/06 7:41:48 PM EDT: which has the same number of sticks as the top
  883. Quicksilver 5/10/06 7:42:20 PM EDT:
  884. Quicksilver 5/10/06 7:42:23 PM EDT:
  885. bwang8 5/10/06 7:42:51 PM EDT: my explanation is pretty bad
  886. bwang8 5/10/06 7:43:01 PM EDT: do you understand?
  887. Quicksilver 5/10/06 7:43:12 PM EDT: enough to go on with the problem
  888. Aznx 5/10/06 7:43:12 PM EDT: I understand it.
  889. bwang8 5/10/06 7:43:16 PM EDT: ok
  890. Aznx 5/10/06 7:44:27 PM EDT: So what should we do next?
  891. Quicksilver 5/10/06 7:44:42 PM EDT: Continue and see if we find any patterns
  892. bwang8 5/10/06 7:44:47 PM EDT: i think i got the equation for the middle sticks
  893. Quicksilver 5/10/06 7:44:55 PM EDT: All right...lets see
  894. bwang8 5/10/06 7:45:00 PM EDT:
  895. bwang8 5/10/06 7:45:43 PM EDT: now we know the n by n blocks on the bottom
  896. Aznx 5/10/06 7:45:50 PM EDT: Yeah it seems so.
  897. bwang8 5/10/06 7:45:54 PM EDT:
  898. Quicksilver 5/10/06 7:45:57 PM EDT: yes.
  899. bwang8 5/10/06 7:46:30 PM EDT: so we can use recursive equation to figure out n 3d pryamind
  900. bwang8 5/10/06 7:46:36 PM EDT: stick number
  901. bwang8 5/10/06 7:46:42 PM EDT: lol
  902. bwang8 5/10/06 7:46:48 PM EDT: bad grammar
  903. Quicksilver 5/10/06 7:46:54 PM EDT: yea
  904. Quicksilver 5/10/06 7:46:57 PM EDT: w/e
  905. bwang8 5/10/06 7:47:54 PM EDT:
  906. bwang8 5/10/06 7:47:58 PM EDT:
  907. bwang8 5/10/06 7:48:00 PM EDT:
  908. bwang8 5/10/06 7:48:05 PM EDT:
  909. bwang8 5/10/06 7:48:06 PM EDT:
  910. bwang8 5/10/06 7:48:08 PM EDT:
  911. bwang8 5/10/06 7:48:13 PM EDT:
  912. bwang8 5/10/06 7:48:22 PM EDT:
  913. bwang8 5/10/06 7:48:24 PM EDT:
  914. bwang8 5/10/06 7:48:26 PM EDT:
  915. bwang8 5/10/06 7:48:28 PM EDT:
  916. bwang8 5/10/06 7:48:32 PM EDT:
  917. bwang8 5/10/06 7:48:34 PM EDT:
  918. bwang8 5/10/06 7:48:36 PM EDT:
  919. bwang8 5/10/06 7:48:38 PM EDT:
  920. bwang8 5/10/06 7:48:43 PM EDT:
  921. bwang8 5/10/06 7:48:44 PM EDT:
  922. bwang8 5/10/06 7:48:47 PM EDT:
  923. bwang8 5/10/06 7:48:48 PM EDT:
  924. bwang8 5/10/06 7:48:50 PM EDT:
  925. bwang8 5/10/06 7:48:51 PM EDT:
  926. bwang8 5/10/06 7:48:52 PM EDT:
  927. bwang8 5/10/06 7:48:53 PM EDT:
  928. bwang8 5/10/06 7:48:55 PM EDT:
  929. bwang8 5/10/06 7:48:56 PM EDT:
  930. bwang8 5/10/06 7:48:58 PM EDT:
  931. Quicksilver 5/10/06 7:48:58 PM EDT: Ahh... I forgot how to solve that thing...We learned it like two months ago
  932. bwang8 5/10/06 7:49:02 PM EDT:
  933. bwang8 5/10/06 7:49:07 PM EDT:
  934. bwang8 5/10/06 7:49:08 PM EDT:
  935. Quicksilver 5/10/06 7:49:09 PM EDT: Could someone remind me
  936. bwang8 5/10/06 7:49:09 PM EDT:
  937. bwang8 5/10/06 7:49:10 PM EDT:
  938. bwang8 5/10/06 7:49:12 PM EDT:
  939. bwang8 5/10/06 7:49:13 PM EDT:
  940. bwang8 5/10/06 7:49:15 PM EDT:
  941. bwang8 5/10/06 7:49:21 PM EDT:
  942. bwang8 5/10/06 7:49:23 PM EDT:
  943. bwang8 5/10/06 7:49:50 PM EDT: i don't know if this equation is right
  944. Aznx 5/10/06 7:50:04 PM EDT: I don't exactly remember either. :P
  945. bwang8 5/10/06 7:50:09 PM EDT: the top n is the highest
  946. Quicksilver 5/10/06 7:50:18 PM EDT: It goes up by one every time because n=1 rite?
  947. bwang8 5/10/06 7:50:38 PM EDT: no, n start at 1
  948. Quicksilver 5/10/06 7:50:46 PM EDT: oh yeah!!!
  949. bwang8 5/10/06 7:50:46 PM EDT: this is a recursive function
  950. Quicksilver 5/10/06 7:50:46 PM EDT:
  951. bwang8 5/10/06 7:51:26 PM EDT: when n=1, plug 1 into the right equation\\
  952. Quicksilver 5/10/06 7:51:40 PM EDT: 12?
  953. bwang8 5/10/06 7:51:58 PM EDT: when n=2, plug 2 into the right equation and add the equation when n=1
  954. Quicksilver 5/10/06 7:52:13 PM EDT: Oh...so u add the thing that came before
  955. bwang8 5/10/06 7:52:17 PM EDT: yes
  956. bwang8 5/10/06 7:52:31 PM EDT: 12 is right
  957. bwang8 5/10/06 7:52:54 PM EDT: since when there is only one cube the number of sticks is 122
  958. bwang8 5/10/06 7:53:00 PM EDT: i mean 12
  959. Quicksilver 5/10/06 7:53:04 PM EDT: lol
  960. Aznx 5/10/06 7:53:07 PM EDT: I get it now.
  961. Aznx 5/10/06 7:53:09 PM EDT: lol
  962. bwang8 5/10/06 7:53:10 PM EDT: ok
  963. bwang8 5/10/06 7:53:26 PM EDT: lol
  964. bwang8 5/10/06 7:53:39 PM EDT: i think we solved the problem, didn't we
  965. Quicksilver 5/10/06 7:53:54 PM EDT: But doesn't each cube have 4 sticks in common with another?
  966. Quicksilver 5/10/06 7:54:19 PM EDT:
  967. Quicksilver 5/10/06 7:54:24 PM EDT:
  968. bwang8 5/10/06 7:54:24 PM EDT: yes
  969. Quicksilver 5/10/06 7:54:30 PM EDT:
  970. Quicksilver 5/10/06 7:54:33 PM EDT:
  971. Quicksilver 5/10/06 7:54:36 PM EDT:
  972. bwang8 5/10/06 7:54:36 PM EDT: on the second level
  973. Quicksilver 5/10/06 7:54:40 PM EDT:
  974. bwang8 5/10/06 7:54:40 PM EDT: where n =2
  975. Quicksilver 5/10/06 7:54:43 PM EDT:
  976. Quicksilver 5/10/06 7:54:49 PM EDT: no but one the bottom level
  977. bwang8 5/10/06 7:54:50 PM EDT: plug it into the equation
  978. Quicksilver 5/10/06 7:54:52 PM EDT:
  979. Quicksilver 5/10/06 7:54:55 PM EDT:
  980. Quicksilver 5/10/06 7:54:57 PM EDT:
  981. Quicksilver 5/10/06 7:54:59 PM EDT:
  982. Quicksilver 5/10/06 7:55:01 PM EDT:
  983. Quicksilver 5/10/06 7:55:06 PM EDT:
  984. Quicksilver 5/10/06 7:55:09 PM EDT:
  985. Quicksilver 5/10/06 7:55:35 PM EDT: the middle ones are common within every two cubes....aren't we overcounting then?
  986. bwang8 5/10/06 7:55:39 PM EDT: and you get 21
  987. bwang8 5/10/06 7:55:48 PM EDT: yes
  988. bwang8 5/10/06 7:56:12 PM EDT: is this the second level?
  989. Quicksilver 5/10/06 7:56:20 PM EDT: on any level
  990. bwang8 5/10/06 7:56:26 PM EDT: yes
  991. bwang8 5/10/06 7:56:39 PM EDT: you only need to know the nth level
  992. Quicksilver 5/10/06 7:56:53 PM EDT: ok
  993. bwang8 5/10/06 7:57:01 PM EDT: plug the level number into the right side equation
  994. Quicksilver 5/10/06 7:57:03 PM EDT: sorry about that
  995. Quicksilver 5/10/06 7:57:11 PM EDT: yea
  996. Quicksilver 5/10/06 7:57:12 PM EDT: i get it
  997. bwang8 5/10/06 7:57:19 PM EDT: and you can get the number of sticks needed to make that level
  998. bwang8 5/10/06 7:57:21 PM EDT: ok
  999. bwang8 5/10/06 7:57:39 PM EDT: no problem
  1000. Quicksilver 5/10/06 7:57:45 PM EDT: so we have to go to the wiki now
  1001. bwang8 5/10/06 7:58:24 PM EDT: does anyone know who to but a calculas? equation into wiki
  1002. bwang8 5/10/06 7:58:36 PM EDT: how
  1003. bwang8 5/10/06 7:58:43 PM EDT: put
  1004. Aznx 5/10/06 7:58:50 PM EDT: i dont know
  1005. Quicksilver 5/10/06 7:58:55 PM EDT: ask gerry
  1006. bwang8 5/10/06 7:59:01 PM EDT: Gerry
  1007. bwang8 5/10/06 7:59:12 PM EDT: are you there?
  1008. Aznx 5/10/06 7:59:17 PM EDT: He's there.
  1009. Aznx 5/10/06 7:59:20 PM EDT: He's typing.
  1010. Gerry 5/10/06 7:59:21 PM EDT: Can u use words
  1011. bwang8 5/10/06 7:59:21 PM EDT: k
  1012. Gerry 5/10/06 7:59:49 PM EDT: Like Sum[Sticks(N-1)]
  1013. Quicksilver 5/10/06 7:59:58 PM EDT: Ok
  1014. bwang8 5/10/06 8:00:55 PM EDT: how would we put it then?
  1015. Quicksilver 5/10/06 8:01:03 PM EDT: so our equation
  1016. Quicksilver 5/10/06 8:01:11 PM EDT: no first lets state our problem
  1017. bwang8 5/10/06 8:01:49 PM EDT: The number of sticks to make a N level pryamind
  1018. bwang8 5/10/06 8:02:04 PM EDT: ?
  1019. Aznx 5/10/06 8:02:17 PM EDT: Yeah, that's our question.
  1020. Quicksilver 5/10/06 8:02:56 PM EDT: Err...
  1021. Quicksilver 5/10/06 8:03:03 PM EDT: I kind of put somethingt different
  1022. Quicksilver 5/10/06 8:03:04 PM EDT:
  1023. Quicksilver 5/10/06 8:03:09 PM EDT: But it's similar
  1024. Aznx 5/10/06 8:03:24 PM EDT: Wait, do we all have to put it in?
  1025. Aznx 5/10/06 8:03:30 PM EDT: Only one of us right?
  1026. Quicksilver 5/10/06 8:03:39 PM EDT: ok its fixed
  1027. Quicksilver 5/10/06 8:03:47 PM EDT: i had 3 levels but i changed it to n
  1028. bwang8 5/10/06 8:03:52 PM EDT: ok
  1029. Quicksilver 5/10/06 8:03:55 PM EDT: yeah
  1030. bwang8 5/10/06 8:04:00 PM EDT: it is great
  1031. Quicksilver 5/10/06 8:04:03 PM EDT: you guys can add on
  1032. Quicksilver 5/10/06 8:04:08 PM EDT: i just put the basic
  1033. Quicksilver 5/10/06 8:04:20 PM EDT: Maybe share our results?
  1034. Aznx 5/10/06 8:04:53 PM EDT: We technically had the same result.
  1035. Quicksilver 5/10/06 8:05:07 PM EDT: Whaddya mean?
  1036. Quicksilver 5/10/06 8:05:21 PM EDT: oh as yesterday?
  1037. Aznx 5/10/06 8:05:31 PM EDT: Yeah.
  1038. Aznx 5/10/06 8:05:36 PM EDT: And today.
  1039. Quicksilver 5/10/06 8:05:40 PM EDT: Still...
  1040. Aznx 5/10/06 8:05:43 PM EDT: Well today was really a discussion.
  1041. Quicksilver 5/10/06 8:05:46 PM EDT: we should say that'
  1042. Aznx 5/10/06 8:05:52 PM EDT: Not finding an answer, although we did. =P
  1043. Aznx 5/10/06 8:06:01 PM EDT: Say what?
  1044. Quicksilver 5/10/06 8:06:09 PM EDT: bwang what do you say we add to the wiki?
  1045. Quicksilver 5/10/06 8:06:21 PM EDT: we should say we got the same answer
  1046. Aznx 5/10/06 8:06:30 PM EDT: Yeah.
  1047. Quicksilver 5/10/06 8:06:39 PM EDT: That may mean these types of problems all are similar in one way
  1048. bwang8 5/10/06 8:06:39 PM EDT: maybe add that the previous level is 1 more in dimension than the next level
  1049. Aznx 5/10/06 8:06:55 PM EDT: Wait, who is submitting?
  1050. Aznx 5/10/06 8:06:57 PM EDT: bwang?
  1051. bwang8 5/10/06 8:06:59 PM EDT: tell them the intervals between levels
  1052. Aznx 5/10/06 8:07:06 PM EDT: or quicksilver, or me?
  1053. bwang8 5/10/06 8:07:08 PM EDT: sorry, i am bad with words
  1054. Quicksilver 5/10/06 8:07:14 PM EDT: So am i
  1055. Aznx 5/10/06 8:07:15 PM EDT: Not to worry.
  1056. Aznx 5/10/06 8:07:21 PM EDT: We should write it out
  1057. Aznx 5/10/06 8:07:22 PM EDT: here
  1058. Quicksilver 5/10/06 8:07:24 PM EDT: Aznx to the rescue lol
  1059. Aznx 5/10/06 8:07:26 PM EDT: Together
  1060. Quicksilver 5/10/06 8:07:30 PM EDT: sure
  1061. Aznx 5/10/06 8:07:30 PM EDT: No not that
  1062. Quicksilver 5/10/06 8:07:34 PM EDT: a conclusion
  1063. Aznx 5/10/06 8:07:34 PM EDT: Yeah lol
  1064. bwang8 5/10/06 8:07:36 PM EDT: yeah
  1065. Aznx 5/10/06 8:07:51 PM EDT: So first, we started off with the basic problem.
  1066. Aznx 5/10/06 8:07:57 PM EDT: and changed it to a 3-D problem
  1067. Aznx 5/10/06 8:08:02 PM EDT: to make it more challenging
  1068. Quicksilver 5/10/06 8:08:04 PM EDT: Yea
  1069. Aznx 5/10/06 8:08:22 PM EDT: then we divided the top, bottom, and middle area down, to make the problem simpler for us
  1070. Aznx 5/10/06 8:08:42 PM EDT: Then, we recognized the 2N(N+1) pattern in the middle area
  1071. Quicksilver 5/10/06 8:08:44 PM EDT: That was one strategy\\
  1072. Aznx 5/10/06 8:08:54 PM EDT: that's our second: finding a pattern
  1073. Quicksilver 5/10/06 8:08:55 PM EDT: dividing it
  1074. Quicksilver 5/10/06 8:08:59 PM EDT: yes
  1075. Aznx 5/10/06 8:09:07 PM EDT: Finally, we used the recursion method to figure out the obttom area,
  1076. Quicksilver 5/10/06 8:09:15 PM EDT: obttom?
  1077. bwang8 5/10/06 8:09:16 PM EDT:
  1078. Aznx 5/10/06 8:09:19 PM EDT: So that's three strategies right there.
  1079. Aznx 5/10/06 8:09:32 PM EDT: I meant bottom
  1080. Quicksilver 5/10/06 8:09:37 PM EDT: oh!!
  1081. Quicksilver 5/10/06 8:09:41 PM EDT: ha i should have gotten ikt
  1082. Aznx 5/10/06 8:09:50 PM EDT: ikt? lol
  1083. Quicksilver 5/10/06 8:09:55 PM EDT: it
  1084. Aznx 5/10/06 8:09:58 PM EDT: i know
  1085. Aznx 5/10/06 8:10:01 PM EDT: i was joking =P
  1086. Quicksilver 5/10/06 8:10:06 PM EDT: anyway...how do we put this on the wiki
  1087. bwang8 5/10/06 8:10:07 PM EDT: are we putting these on wiki
  1088. Aznx 5/10/06 8:10:12 PM EDT: Yes.
  1089. bwang8 5/10/06 8:10:19 PM EDT: ok
  1090. Aznx 5/10/06 8:10:32 PM EDT: I think bwang should put it in, since he's more familiar with the recursion method and how to use it than we are,
  1091. Aznx 5/10/06 8:10:36 PM EDT: Agreed?
  1092. Quicksilver 5/10/06 8:10:51 PM EDT: Today's topic siad go to the wiki and share the most intersting math problems that your group chose to work on
  1093. Quicksilver 5/10/06 8:10:59 PM EDT: agreed
  1094. Quicksilver 5/10/06 8:11:15 PM EDT: but we do understand it now
  1095. Quicksilver 5/10/06 8:11:18 PM EDT: that's important
  1096. Aznx 5/10/06 8:11:28 PM EDT: Well, we should just say we wanted to explore yesterday's problem more.
  1097. Quicksilver 5/10/06 8:11:29 PM EDT: maybe we can apply it next time...who knows?
  1098. Aznx 5/10/06 8:11:32 PM EDT: Yes, we do.
  1099. bwang8 5/10/06 8:11:32 PM EDT: ok
  1100. bwang8 5/10/06 8:12:06 PM EDT: we can use the strategy we used to solve this problem to solve future problems
  1101. bwang8 5/10/06 8:12:31 PM EDT: the method is important
  1102. bwang8 5/10/06 8:12:36 PM EDT: not the answer
  1103. Aznx 5/10/06 8:12:48 PM EDT: Yup.
  1104. Quicksilver 5/10/06 8:12:49 PM EDT: definiteyly
  1105. Aznx 5/10/06 8:12:56 PM EDT: Always learned that whereever I learned math. =P
  1106. bwang8 5/10/06 8:13:05 PM EDT: we learn that divide the problem up can make it simpler and easier to solve
  1107. Quicksilver 5/10/06 8:13:09 PM EDT: so bwang...are you updating the wiki?
  1108. Quicksilver 5/10/06 8:13:14 PM EDT: yea
  1109. Aznx 5/10/06 8:13:21 PM EDT: we also learned finding a pattern is a good step
  1110. Quicksilver 5/10/06 8:13:39 PM EDT: yes and we could have also started with a simpler problem
  1111. Quicksilver 5/10/06 8:13:42 PM EDT: in fact...we did
  1112. Aznx 5/10/06 8:13:43 PM EDT: and recursion can be usually used when solving for a pattern, after finding the designated pattern of course
  1113. Quicksilver 5/10/06 8:13:48 PM EDT: yesterday's problem was simpler
  1114. Aznx 5/10/06 8:13:52 PM EDT: yes, we did!
  1115. Aznx 5/10/06 8:14:00 PM EDT: so we actually used 4 strategies =D
  1116. Quicksilver 5/10/06 8:14:12 PM EDT: yes
  1117. Aznx 5/10/06 8:14:34 PM EDT: We also tried to look at the problem from different views, although it's not really a strategy.
  1118. Aznx 5/10/06 8:14:57 PM EDT: It gave us quite a few clues that it will be similar in many ways to yesterday's problem.
  1119. Quicksilver 5/10/06 8:15:13 PM EDT: mmhmm
  1120. Quicksilver 5/10/06 8:15:32 PM EDT: we related it to something we knew
  1121. Gerry 5/10/06 8:15:46 PM EDT: So, can you all come back here at the same time next Tuesday?
  1122. Quicksilver 5/10/06 8:15:51 PM EDT: yes
  1123. Aznx 5/10/06 8:16:13 PM EDT: Yes.
  1124. bwang8 5/10/06 8:16:15 PM EDT: next tuesday?
  1125. bwang8 5/10/06 8:16:28 PM EDT: don't we have a session this firday?
  1126. Quicksilver 5/10/06 8:16:37 PM EDT: no
  1127. Gerry 5/10/06 8:16:57 PM EDT: no, we did it today instead of Thursday
  1128. bwang8 5/10/06 8:17:15 PM EDT: o
  1129. Gerry 5/10/06 8:17:44 PM EDT: Then we should do it again next Tuesday and next Thursday at the same time
  1130. Quicksilver 5/10/06 8:17:58 PM EDT: Yea...too bad there are only two more days
  1131. Quicksilver 5/10/06 8:18:04 PM EDT: this is very fun
  1132. Aznx 5/10/06 8:18:13 PM EDT: Only two more days??!!!
  1133. bwang8 5/10/06 8:18:15 PM EDT: oh
  1134. bwang8 5/10/06 8:18:17 PM EDT: ok
  1135. bwang8 5/10/06 8:18:29 PM EDT: this is great
  1136. Aznx 5/10/06 8:18:36 PM EDT: Yeah, I personally love it.
  1137. Gerry 5/10/06 8:18:41 PM EDT: We can talk about doing more after next week
  1138. Quicksilver 5/10/06 8:18:41 PM EDT: same
  1139. Quicksilver 5/10/06 8:18:46 PM EDT: ok
  1140. Aznx 5/10/06 8:18:47 PM EDT: Ok.
  1141. Aznx 5/10/06 8:18:54 PM EDT: Farewell for now I guess?
  1142. Quicksilver 5/10/06 8:19:04 PM EDT: But for today I guess we are done
  1143. Quicksilver 5/10/06 8:19:20 PM EDT: I'll just update the wiki a bit more
  1144. Gerry 5/10/06 8:19:22 PM EDT: If anything comes up, you can come back in this room and send an email
  1145. Gerry 5/10/06 8:19:50 PM EDT: The Send Mail button next to the View Topic button lets you do that
  1146. bwang8 5/10/06 8:20:14 PM EDT: ok
  1147. Aznx 5/10/06 8:20:20 PM EDT: Alright.
  1148. Gerry 5/10/06 8:20:24 PM EDT: just check the members box
  1149. Quicksilver 5/10/06 8:20:33 PM EDT: ok
  1150. Gerry 5/10/06 8:20:51 PM EDT: Have a great weekend and look for patterns in the world
  1151. Quicksilver 5/10/06 8:20:59 PM EDT: thanks
  1152. Aznx 5/10/06 8:21:12 PM EDT: Thanks, and see you all on Tuesday.
  1153. Quicksilver 5/10/06 8:21:26 PM EDT: Ok.....bye all
  1154. Gerry 5/10/06 8:21:34 PM EDT: leaves the room
  1155. Aznx 5/10/06 8:21:36 PM EDT: leaves the room
  1156. Quicksilver 5/10/06 8:21:38 PM EDT: leaves the room
  1157. bwang8 5/10/06 8:21:52 PM EDT: check the wiki page
  1158. Quicksilver 5/10/06 8:22:26 PM EDT: joins the room
  1159. Quicksilver 5/10/06 8:22:45 PM EDT: leaves the room
  1160. bwang8 5/10/06 8:22:50 PM EDT: i can't get any message
  1161. bwang8 5/10/06 8:22:56 PM EDT: they are delayed
  1162. bwang8 5/10/06 8:23:01 PM EDT: i think i miss some
  1163. bwang8 5/10/06 8:23:38 PM EDT: leaves the room
  1164. tutor 5/11/06 3:44:25 PM EDT: joins the room
  1165. tutor 5/11/06 4:16:06 PM EDT: leaves the room
  1166. Quicksilver 5/12/06 11:21:06 PM EDT: joins the room
  1167. Quicksilver 5/12/06 11:21:45 PM EDT:
  1168. Quicksilver 5/12/06 11:22:04 PM EDT: leaves the room
  1169. Gerry 5/15/06 5:02:09 PM EDT: joins the room
  1170. Gerry 5/15/06 5:05:42 PM EDT:
  1171. Gerry 5/15/06 5:06:06 PM EDT:
  1172. Gerry 5/15/06 5:40:41 PM EDT:
  1173. Gerry 5/15/06 5:44:21 PM EDT:
  1174. Gerry 5/15/06 5:44:40 PM EDT:
  1175. Gerry 5/15/06 5:44:50 PM EDT:
  1176. Gerry 5/15/06 5:44:54 PM EDT:
  1177. Gerry 5/15/06 5:44:58 PM EDT:
  1178. Gerry 5/15/06 5:45:15 PM EDT:
  1179. Gerry 5/15/06 5:45:39 PM EDT:
  1180. Gerry 5/15/06 5:45:57 PM EDT:
  1181. Gerry 5/15/06 5:46:26 PM EDT:
  1182. Gerry 5/15/06 5:46:34 PM EDT:
  1183. Gerry 5/15/06 5:46:40 PM EDT:
  1184. Gerry 5/15/06 5:46:47 PM EDT:
  1185. Gerry 5/15/06 5:46:55 PM EDT:
  1186. Gerry 5/15/06 5:46:59 PM EDT:
  1187. Gerry 5/15/06 5:47:02 PM EDT:
  1188. Gerry 5/15/06 5:47:07 PM EDT:
  1189. Gerry 5/15/06 5:47:24 PM EDT:
  1190. Gerry 5/15/06 5:47:26 PM EDT:
  1191. Gerry 5/15/06 5:58:13 PM EDT:
  1192. Gerry 5/15/06 5:58:19 PM EDT:
  1193. Gerry 5/15/06 6:01:06 PM EDT:
  1194. Gerry 5/15/06 6:03:51 PM EDT:
  1195. Gerry 5/15/06 6:04:58 PM EDT: Here is some feedback on your work last session.
  1196. Gerry 5/15/06 7:26:09 PM EDT: leaves the room
  1197. Gerry 5/16/06 11:38:01 AM EDT: joins the room
  1198. Gerry 5/16/06 3:26:03 PM EDT: leaves the room
  1199. Aznx 5/16/06 6:35:54 PM EDT: joins the room
  1200. Gerry 5/16/06 6:36:27 PM EDT: joins the room
  1201. Quicksilver 5/16/06 6:55:05 PM EDT: joins the room
  1202. Aznx 5/16/06 7:01:43 PM EDT: Did you fnish reading the netire feedback yet? =P
  1203. bwang8 5/16/06 7:03:32 PM EDT: joins the room
  1204. Gerry 5/16/06 7:04:09 PM EDT: Hi Quicksilver!
  1205. Quicksilver 5/16/06 7:04:18 PM EDT: yes
  1206. Quicksilver 5/16/06 7:04:25 PM EDT: Hi
  1207. Aznx 5/16/06 7:04:31 PM EDT: bwang I suppose you're done as well?
  1208. bwang8 5/16/06 7:04:41 PM EDT: yes
  1209. Aznx 5/16/06 7:04:45 PM EDT: Alright.
  1210. Aznx 5/16/06 7:04:49 PM EDT: What do you think?
  1211. Aznx 5/16/06 7:04:53 PM EDT: About the feedback?
  1212. Quicksilver 5/16/06 7:05:00 PM EDT: What did it mean by two flat sides?
  1213. Quicksilver 5/16/06 7:05:12 PM EDT: How would a pyramid have two flat sides?
  1214. Quicksilver 5/16/06 7:05:36 PM EDT: Actually....lets erase some stuff from the whiteboard
  1215. Aznx 5/16/06 7:05:42 PM EDT: Yeah.
  1216. bwang8 5/16/06 7:05:50 PM EDT:
  1217. Aznx 5/16/06 7:05:51 PM EDT: It gets crowded too much every session lol.
  1218. Quicksilver 5/16/06 7:05:57 PM EDT: NO!!!
  1219. Quicksilver 5/16/06 7:06:04 PM EDT: That was this sessions's comments
  1220. bwang8 5/16/06 7:06:10 PM EDT: ?
  1221. Aznx 5/16/06 7:06:15 PM EDT: Greg can you get it back for us?
  1222. Quicksilver 5/16/06 7:06:20 PM EDT: Oh never mind
  1223. Quicksilver 5/16/06 7:06:24 PM EDT: you moved it to the side
  1224. Aznx 5/16/06 7:06:26 PM EDT: Oh
  1225. Aznx 5/16/06 7:06:32 PM EDT: Lol
  1226. bwang8 5/16/06 7:06:36 PM EDT: yeah
  1227. bwang8 5/16/06 7:06:39 PM EDT: lol
  1228. Quicksilver 5/16/06 7:06:46 PM EDT: yea i didn't see that
  1229. Gerry 5/16/06 7:06:50 PM EDT: lol!
  1230. Quicksilver 5/16/06 7:07:13 PM EDT: Oh yeah aznx...his name is gerry not greg
  1231. Aznx 5/16/06 7:07:19 PM EDT: Oopsa
  1232. Gerry 5/16/06 7:07:22 PM EDT: You can always scroll back in the whiteboard history to see (and copy) something you erased
  1233. Quicksilver 5/16/06 7:07:22 PM EDT:
  1234. Quicksilver 5/16/06 7:07:23 PM EDT:
  1235. Quicksilver 5/16/06 7:07:26 PM EDT:
  1236. Quicksilver 5/16/06 7:07:29 PM EDT:
  1237. Quicksilver 5/16/06 7:07:30 PM EDT:
  1238. Quicksilver 5/16/06 7:07:31 PM EDT:
  1239. Quicksilver 5/16/06 7:07:32 PM EDT:
  1240. Quicksilver 5/16/06 7:07:33 PM EDT:
  1241. Quicksilver 5/16/06 7:07:34 PM EDT:
  1242. Quicksilver 5/16/06 7:07:35 PM EDT:
  1243. Quicksilver 5/16/06 7:07:35 PM EDT:
  1244. Quicksilver 5/16/06 7:07:37 PM EDT:
  1245. Quicksilver 5/16/06 7:07:38 PM EDT:
  1246. Quicksilver 5/16/06 7:07:41 PM EDT:
  1247. Quicksilver 5/16/06 7:07:42 PM EDT:
  1248. Aznx 5/16/06 7:07:44 PM EDT: What's with the squares?
  1249. Quicksilver 5/16/06 7:07:45 PM EDT:
  1250. Quicksilver 5/16/06 7:07:48 PM EDT:
  1251. Quicksilver 5/16/06 7:07:51 PM EDT: yeah
  1252. Quicksilver 5/16/06 7:07:58 PM EDT:
  1253. Quicksilver 5/16/06 7:08:00 PM EDT:
  1254. Quicksilver 5/16/06 7:08:01 PM EDT:
  1255. Quicksilver 5/16/06 7:08:01 PM EDT:
  1256. Quicksilver 5/16/06 7:08:01 PM EDT:
  1257. bwang8 5/16/06 7:08:03 PM EDT: i think that's for each black board action
  1258. Gerry 5/16/06 7:08:10 PM EDT: Yeah -- I don't know either
  1259. Quicksilver 5/16/06 7:08:20 PM EDT: every time i dleted a line a square came
  1260. Aznx 5/16/06 7:08:21 PM EDT: Let's just ignore it.
  1261. Quicksilver 5/16/06 7:08:25 PM EDT: yes
  1262. bwang8 5/16/06 7:08:32 PM EDT:
  1263. bwang8 5/16/06 7:08:36 PM EDT:
  1264. bwang8 5/16/06 7:08:39 PM EDT:
  1265. Quicksilver 5/16/06 7:08:43 PM EDT: can i delete first session's comments?
  1266. bwang8 5/16/06 7:08:43 PM EDT: yep
  1267. Quicksilver 5/16/06 7:08:50 PM EDT:
  1268. Aznx 5/16/06 7:08:51 PM EDT:
  1269. Quicksilver 5/16/06 7:08:56 PM EDT:
  1270. Aznx 5/16/06 7:08:56 PM EDT:
  1271. Quicksilver 5/16/06 7:08:57 PM EDT:
  1272. Aznx 5/16/06 7:08:58 PM EDT:
  1273. Quicksilver 5/16/06 7:08:59 PM EDT:
  1274. Quicksilver 5/16/06 7:09:00 PM EDT:
  1275. Quicksilver 5/16/06 7:09:00 PM EDT:
  1276. Aznx 5/16/06 7:09:01 PM EDT:
  1277. Quicksilver 5/16/06 7:09:01 PM EDT:
  1278. Quicksilver 5/16/06 7:09:03 PM EDT:
  1279. Quicksilver 5/16/06 7:09:04 PM EDT:
  1280. Quicksilver 5/16/06 7:09:09 PM EDT:
  1281. Aznx 5/16/06 7:09:10 PM EDT:
  1282. bwang8 5/16/06 7:09:19 PM EDT: the squares tell you who is doing each action
  1283. Quicksilver 5/16/06 7:09:28 PM EDT: oh
  1284. bwang8 5/16/06 7:09:30 PM EDT:
  1285. Aznx 5/16/06 7:09:32 PM EDT: Can someone remove that whiteboard?
  1286. bwang8 5/16/06 7:09:33 PM EDT:
  1287. Quicksilver 5/16/06 7:09:46 PM EDT: the enitre whiteboard?
  1288. Quicksilver 5/16/06 7:09:54 PM EDT:
  1289. bwang8 5/16/06 7:10:25 PM EDT:
  1290. bwang8 5/16/06 7:10:30 PM EDT:
  1291. Quicksilver 5/16/06 7:10:32 PM EDT:
  1292. bwang8 5/16/06 7:10:32 PM EDT:
  1293. Quicksilver 5/16/06 7:10:33 PM EDT:
  1294. Aznx 5/16/06 7:10:34 PM EDT: Ok.
  1295. Quicksilver 5/16/06 7:10:35 PM EDT:
  1296. Quicksilver 5/16/06 7:10:36 PM EDT:
  1297. Quicksilver 5/16/06 7:10:37 PM EDT:
  1298. bwang8 5/16/06 7:10:40 PM EDT:
  1299. bwang8 5/16/06 7:10:42 PM EDT:
  1300. Aznx 5/16/06 7:10:44 PM EDT: So let's go back to the feedback discussion.
  1301. bwang8 5/16/06 7:10:46 PM EDT:
  1302. Quicksilver 5/16/06 7:10:51 PM EDT: so we have to explain our formula more
  1303. Aznx 5/16/06 7:10:55 PM EDT: How do you think we could've improved?
  1304. bwang8 5/16/06 7:10:55 PM EDT:
  1305. Aznx 5/16/06 7:10:58 PM EDT: What else?
  1306. bwang8 5/16/06 7:10:59 PM EDT:
  1307. bwang8 5/16/06 7:11:01 PM EDT:
  1308. Aznx 5/16/06 7:11:17 PM EDT: I personally saw last time as a great experience to use so amny solving techniques.
  1309. Aznx 5/16/06 7:11:31 PM EDT: Excuse my spelling errors.
  1310. Quicksilver 5/16/06 7:11:48 PM EDT: yes, but at the same time we could have followed up the problem
  1311. Quicksilver 5/16/06 7:11:52 PM EDT: like the suggestions
  1312. Quicksilver 5/16/06 7:11:57 PM EDT: if it had 2 flat sides
  1313. bwang8 5/16/06 7:12:06 PM EDT: what does it mean?
  1314. Quicksilver 5/16/06 7:12:22 PM EDT: I personally don't get the two flat sides
  1315. Quicksilver 5/16/06 7:12:29 PM EDT: I don't know how a pyrmaid would do that
  1316. Quicksilver 5/16/06 7:13:02 PM EDT:
  1317. Quicksilver 5/16/06 7:13:05 PM EDT:
  1318. Quicksilver 5/16/06 7:13:06 PM EDT:
  1319. Quicksilver 5/16/06 7:13:07 PM EDT:
  1320. Quicksilver 5/16/06 7:13:07 PM EDT:
  1321. Quicksilver 5/16/06 7:13:08 PM EDT:
  1322. Quicksilver 5/16/06 7:13:13 PM EDT:
  1323. Quicksilver 5/16/06 7:13:14 PM EDT:
  1324. Gerry 5/16/06 7:13:22 PM EDT: Imagine stacking the blocks in a corner of a room, against the walls
  1325. Gerry 5/16/06 7:13:22 PM EDT:
  1326. Quicksilver 5/16/06 7:13:33 PM EDT: Oh
  1327. Quicksilver 5/16/06 7:13:35 PM EDT: I see
  1328. bwang8 5/16/06 7:13:36 PM EDT: ok
  1329. Quicksilver 5/16/06 7:13:41 PM EDT: So.....ok
  1330. Quicksilver 5/16/06 7:13:57 PM EDT:
  1331. Quicksilver 5/16/06 7:14:01 PM EDT:
  1332. Quicksilver 5/16/06 7:14:06 PM EDT:
  1333. Quicksilver 5/16/06 7:14:08 PM EDT:
  1334. Quicksilver 5/16/06 7:14:08 PM EDT:
  1335. Quicksilver 5/16/06 7:14:10 PM EDT:
  1336. Quicksilver 5/16/06 7:14:21 PM EDT:
  1337. bwang8 5/16/06 7:14:29 PM EDT: The equation would still be the same, right?
  1338. Quicksilver 5/16/06 7:14:29 PM EDT:
  1339. Quicksilver 5/16/06 7:14:32 PM EDT:
  1340. Quicksilver 5/16/06 7:14:40 PM EDT:
  1341. Quicksilver 5/16/06 7:14:46 PM EDT: I think so
  1342. bwang8 5/16/06 7:14:47 PM EDT: because there are the same number of cube each level
  1343. Quicksilver 5/16/06 7:14:50 PM EDT: but lets explain that
  1344. Quicksilver 5/16/06 7:14:58 PM EDT: bcuz that was in the feedback too
  1345. Quicksilver 5/16/06 7:15:09 PM EDT:
  1346. Aznx 5/16/06 7:15:13 PM EDT: It would make sense to me that the formula is the same.
  1347. Quicksilver 5/16/06 7:15:19 PM EDT:
  1348. Aznx 5/16/06 7:15:23 PM EDT: But I don't see why it should either.
  1349. Quicksilver 5/16/06 7:15:23 PM EDT:
  1350. Quicksilver 5/16/06 7:15:28 PM EDT:
  1351. Aznx 5/16/06 7:15:31 PM EDT: I can't find a specific explanation.
  1352. Quicksilver 5/16/06 7:15:33 PM EDT:
  1353. Quicksilver 5/16/06 7:15:36 PM EDT:
  1354. Quicksilver 5/16/06 7:15:40 PM EDT:
  1355. Quicksilver 5/16/06 7:15:47 PM EDT:
  1356. Quicksilver 5/16/06 7:15:50 PM EDT:
  1357. Aznx 5/16/06 7:15:51 PM EDT: I mean, there should technically be some changes right?
  1358. Quicksilver 5/16/06 7:15:53 PM EDT:
  1359. Quicksilver 5/16/06 7:15:55 PM EDT:
  1360. Aznx 5/16/06 7:15:56 PM EDT: Or maybe not...
  1361. Quicksilver 5/16/06 7:16:00 PM EDT:
  1362. Quicksilver 5/16/06 7:16:02 PM EDT:
  1363. Quicksilver 5/16/06 7:16:04 PM EDT:
  1364. Quicksilver 5/16/06 7:16:06 PM EDT:
  1365. Quicksilver 5/16/06 7:16:08 PM EDT:
  1366. Aznx 5/16/06 7:16:10 PM EDT: Let's sovle it. :P
  1367. Quicksilver 5/16/06 7:16:11 PM EDT:
  1368. Quicksilver 5/16/06 7:16:14 PM EDT:
  1369. bwang8 5/16/06 7:16:20 PM EDT:
  1370. Quicksilver 5/16/06 7:16:20 PM EDT: Excuse my poor drawings
  1371. Quicksilver 5/16/06 7:16:25 PM EDT:
  1372. Quicksilver 5/16/06 7:16:27 PM EDT:
  1373. Quicksilver 5/16/06 7:16:28 PM EDT:
  1374. Quicksilver 5/16/06 7:16:31 PM EDT:
  1375. Quicksilver 5/16/06 7:16:35 PM EDT:
  1376. Quicksilver 5/16/06 7:16:37 PM EDT:
  1377. Quicksilver 5/16/06 7:16:39 PM EDT:
  1378. Quicksilver 5/16/06 7:16:41 PM EDT:
  1379. Quicksilver 5/16/06 7:16:43 PM EDT:
  1380. Quicksilver 5/16/06 7:16:47 PM EDT:
  1381. Gerry 5/16/06 7:16:47 PM EDT: What does the feedback say about the difference this would make?
  1382. Quicksilver 5/16/06 7:16:51 PM EDT:
  1383. Quicksilver 5/16/06 7:16:52 PM EDT:
  1384. Quicksilver 5/16/06 7:16:54 PM EDT:
  1385. Quicksilver 5/16/06 7:16:55 PM EDT:
  1386. Quicksilver 5/16/06 7:16:56 PM EDT:
  1387. Quicksilver 5/16/06 7:16:57 PM EDT:
  1388. Quicksilver 5/16/06 7:17:02 PM EDT:
  1389. Quicksilver 5/16/06 7:17:06 PM EDT:
  1390. Quicksilver 5/16/06 7:17:07 PM EDT:
  1391. Aznx 5/16/06 7:17:17 PM EDT: There would be a similar sharing in between the layers.
  1392. Aznx 5/16/06 7:17:26 PM EDT: So the number would technically be bigger.
  1393. bwang8 5/16/06 7:17:31 PM EDT: oooh
  1394. Quicksilver 5/16/06 7:17:38 PM EDT: Yes
  1395. Quicksilver 5/16/06 7:17:48 PM EDT: Each layer is broken up separately
  1396. bwang8 5/16/06 7:18:01 PM EDT: so each layer would be missing a bottom, other than the bottommost layer
  1397. bwang8 5/16/06 7:18:11 PM EDT: right?
  1398. Quicksilver 5/16/06 7:18:17 PM EDT: How
  1399. Quicksilver 5/16/06 7:18:21 PM EDT: I don't think so
  1400. Aznx 5/16/06 7:18:29 PM EDT: Yeah, I don't think so either.
  1401. Quicksilver 5/16/06 7:18:30 PM EDT: Well....are the layers vertical or horizontal
  1402. Quicksilver 5/16/06 7:18:43 PM EDT:
  1403. Quicksilver 5/16/06 7:18:45 PM EDT:
  1404. Quicksilver 5/16/06 7:18:49 PM EDT:
  1405. Quicksilver 5/16/06 7:18:51 PM EDT:
  1406. Quicksilver 5/16/06 7:18:52 PM EDT:
  1407. Quicksilver 5/16/06 7:18:56 PM EDT:
  1408. Quicksilver 5/16/06 7:18:57 PM EDT:
  1409. Aznx 5/16/06 7:18:58 PM EDT: Let's start off with only 1 block in the first layer.
  1410. Aznx 5/16/06 7:19:02 PM EDT: So there one block.
  1411. Quicksilver 5/16/06 7:19:08 PM EDT:
  1412. bwang8 5/16/06 7:19:08 PM EDT: ok
  1413. Aznx 5/16/06 7:19:10 PM EDT: Then next turn it turn into three.
  1414. Aznx 5/16/06 7:19:17 PM EDT: And then 5.
  1415. Quicksilver 5/16/06 7:19:20 PM EDT: What do you mean?
  1416. Aznx 5/16/06 7:19:22 PM EDT: 7
  1417. Aznx 5/16/06 7:19:24 PM EDT: and so on
  1418. Aznx 5/16/06 7:19:30 PM EDT: KLemme show you
  1419. Quicksilver 5/16/06 7:19:33 PM EDT: Ok
  1420. Aznx 5/16/06 7:19:40 PM EDT:
  1421. Aznx 5/16/06 7:19:41 PM EDT:
  1422. Aznx 5/16/06 7:19:44 PM EDT:
  1423. Aznx 5/16/06 7:19:46 PM EDT:
  1424. Aznx 5/16/06 7:19:49 PM EDT:
  1425. Aznx 5/16/06 7:19:51 PM EDT:
  1426. Aznx 5/16/06 7:19:53 PM EDT:
  1427. Aznx 5/16/06 7:19:55 PM EDT:
  1428. Aznx 5/16/06 7:19:56 PM EDT:
  1429. Aznx 5/16/06 7:19:57 PM EDT:
  1430. Aznx 5/16/06 7:19:59 PM EDT:
  1431. Aznx 5/16/06 7:20:02 PM EDT:
  1432. Quicksilver 5/16/06 7:20:04 PM EDT: That's a topp view isn't it?
  1433. Quicksilver 5/16/06 7:20:09 PM EDT: OH yes
  1434. Quicksilver 5/16/06 7:20:11 PM EDT: i see
  1435. Aznx 5/16/06 7:20:14 PM EDT: That's the bottom layer
  1436. Aznx 5/16/06 7:20:19 PM EDT:
  1437. Aznx 5/16/06 7:20:21 PM EDT:
  1438. Aznx 5/16/06 7:20:23 PM EDT:
  1439. Aznx 5/16/06 7:20:26 PM EDT:
  1440. Aznx 5/16/06 7:20:28 PM EDT:
  1441. Aznx 5/16/06 7:20:29 PM EDT:
  1442. Quicksilver 5/16/06 7:20:34 PM EDT: Actually the thrid layer should have six
  1443. Aznx 5/16/06 7:20:34 PM EDT:
  1444. Aznx 5/16/06 7:20:36 PM EDT:
  1445. Aznx 5/16/06 7:20:38 PM EDT:
  1446. Aznx 5/16/06 7:20:39 PM EDT:
  1447. Aznx 5/16/06 7:20:41 PM EDT:
  1448. Aznx 5/16/06 7:20:42 PM EDT:
  1449. Aznx 5/16/06 7:20:43 PM EDT:
  1450. Aznx 5/16/06 7:20:44 PM EDT:
  1451. Aznx 5/16/06 7:20:46 PM EDT:
  1452. Aznx 5/16/06 7:20:48 PM EDT: How?
  1453. Quicksilver 5/16/06 7:20:54 PM EDT:
  1454. Aznx 5/16/06 7:21:05 PM EDT: Why would you put a block there though?
  1455. Quicksilver 5/16/06 7:21:06 PM EDT: You have to increase in the middle too
  1456. Aznx 5/16/06 7:21:17 PM EDT: You're right!
  1457. Aznx 5/16/06 7:21:25 PM EDT: So there would be 6
  1458. Quicksilver 5/16/06 7:21:25 PM EDT: Then it's ljust like a wall if you don't have anythign there
  1459. bwang8 5/16/06 7:21:30 PM EDT: ok
  1460. Quicksilver 5/16/06 7:21:38 PM EDT: Just imagine two walls coming together....that's not a pyramid
  1461. Aznx 5/16/06 7:21:47 PM EDT: So the progression is 1, 3, 6...
  1462. Aznx 5/16/06 7:21:55 PM EDT: It's triagular numbers, right?
  1463. Quicksilver 5/16/06 7:22:07 PM EDT:
  1464. Quicksilver 5/16/06 7:22:09 PM EDT:
  1465. Quicksilver 5/16/06 7:22:11 PM EDT:
  1466. Quicksilver 5/16/06 7:22:12 PM EDT:
  1467. Quicksilver 5/16/06 7:22:16 PM EDT:
  1468. Quicksilver 5/16/06 7:22:18 PM EDT:
  1469. Quicksilver 5/16/06 7:22:21 PM EDT:
  1470. Quicksilver 5/16/06 7:22:23 PM EDT: I think its four for the second step isn't it?
  1471. Quicksilver 5/16/06 7:22:29 PM EDT:
  1472. Aznx 5/16/06 7:22:38 PM EDT: hm.
  1473. Quicksilver 5/16/06 7:22:38 PM EDT:
  1474. Quicksilver 5/16/06 7:22:42 PM EDT:
  1475. Aznx 5/16/06 7:22:43 PM EDT: I was thinking about that.
  1476. Quicksilver 5/16/06 7:22:44 PM EDT:
  1477. Aznx 5/16/06 7:22:47 PM EDT: But I'km not sure
  1478. Quicksilver 5/16/06 7:22:48 PM EDT:
  1479. Quicksilver 5/16/06 7:22:50 PM EDT:
  1480. Quicksilver 5/16/06 7:22:53 PM EDT:
  1481. Quicksilver 5/16/06 7:22:57 PM EDT:
  1482. Quicksilver 5/16/06 7:22:58 PM EDT:
  1483. Quicksilver 5/16/06 7:23:03 PM EDT: I think it's square numbers
  1484. Aznx 5/16/06 7:23:04 PM EDT: bwang what do you think?
  1485. Aznx 5/16/06 7:23:20 PM EDT: Swuare numbers?
  1486. Aznx 5/16/06 7:23:24 PM EDT: How though?
  1487. bwang8 5/16/06 7:23:24 PM EDT: i can't see any patterns
  1488. Aznx 5/16/06 7:23:29 PM EDT: The third step has 6 blocks
  1489. Quicksilver 5/16/06 7:23:38 PM EDT: It could have nine
  1490. Quicksilver 5/16/06 7:23:46 PM EDT: It depends how we are increasing
  1491. Quicksilver 5/16/06 7:24:01 PM EDT: If we want breakins in the pyramid at the front side or not
  1492. Aznx 5/16/06 7:24:08 PM EDT: Should we just go onto a different problem for now?
  1493. Quicksilver 5/16/06 7:24:20 PM EDT: This is todays problem isn't it?
  1494. Quicksilver 5/16/06 7:24:25 PM EDT: Discuss last week?
  1495. Quicksilver 5/16/06 7:24:50 PM EDT: And more problems I guess..
  1496. Aznx 5/16/06 7:24:55 PM EDT: Yeah
  1497. Aznx 5/16/06 7:25:05 PM EDT: WE can come back to this on Thursday
  1498. bwang8 5/16/06 7:25:06 PM EDT:
  1499. Aznx 5/16/06 7:25:20 PM EDT: And perhaps expans on it even more
  1500. bwang8 5/16/06 7:25:21 PM EDT:
  1501. bwang8 5/16/06 7:25:33 PM EDT:
  1502. Aznx 5/16/06 7:25:45 PM EDT:
  1503. Aznx 5/16/06 7:26:08 PM EDT: This was our formula for this problem last time correct?
  1504. bwang8 5/16/06 7:26:13 PM EDT: yeah
  1505. Quicksilver 5/16/06 7:26:13 PM EDT: Yes
  1506. Aznx 5/16/06 7:26:21 PM EDT: So how about we keep it
  1507. Quicksilver 5/16/06 7:26:29 PM EDT: Yes
  1508. Aznx 5/16/06 7:26:31 PM EDT: And move onto a different sequence?
  1509. Quicksilver 5/16/06 7:26:34 PM EDT:
  1510. Quicksilver 5/16/06 7:26:37 PM EDT:
  1511. Quicksilver 5/16/06 7:26:41 PM EDT:
  1512. Aznx 5/16/06 7:26:47 PM EDT: How about squares?
  1513. Aznx 5/16/06 7:26:52 PM EDT: As you had mentioned?
  1514. Quicksilver 5/16/06 7:26:55 PM EDT:
  1515. Aznx 5/16/06 7:26:56 PM EDT: bwang you have any ideas?
  1516. Quicksilver 5/16/06 7:27:01 PM EDT: These basically were squares
  1517. Quicksilver 5/16/06 7:27:07 PM EDT:
  1518. Aznx 5/16/06 7:27:24 PM EDT:
  1519. bwang8 5/16/06 7:27:24 PM EDT: squares of what?
  1520. Aznx 5/16/06 7:27:26 PM EDT:
  1521. Quicksilver 5/16/06 7:27:31 PM EDT:
  1522. Quicksilver 5/16/06 7:27:32 PM EDT:
  1523. Quicksilver 5/16/06 7:27:45 PM EDT: The cubes were basically squares
  1524. Quicksilver 5/16/06 7:27:52 PM EDT: we just broke apart the lines
  1525. Aznx 5/16/06 7:28:22 PM EDT: I'm sure we can come up with other sequences.
  1526. Quicksilver 5/16/06 7:28:41 PM EDT: How did team C get its formula for the diamonds?
  1527. Quicksilver 5/16/06 7:28:46 PM EDT: How do we access that?
  1528. Aznx 5/16/06 7:29:00 PM EDT: Well, let's look at their problem.
  1529. bwang8 5/16/06 7:29:05 PM EDT: open browser
  1530. Aznx 5/16/06 7:29:06 PM EDT:
  1531. Aznx 5/16/06 7:29:10 PM EDT:
  1532. Aznx 5/16/06 7:29:12 PM EDT:
  1533. bwang8 5/16/06 7:29:13 PM EDT: and click on the link
  1534. Quicksilver 5/16/06 7:29:14 PM EDT: oh nevrmind
  1535. Aznx 5/16/06 7:29:14 PM EDT:
  1536. Quicksilver 5/16/06 7:29:15 PM EDT: i got it
  1537. bwang8 5/16/06 7:29:19 PM EDT: ok
  1538. Aznx 5/16/06 7:29:21 PM EDT:
  1539. Aznx 5/16/06 7:29:24 PM EDT:
  1540. Aznx 5/16/06 7:29:28 PM EDT:
  1541. Aznx 5/16/06 7:29:32 PM EDT:
  1542. Aznx 5/16/06 7:29:48 PM EDT: Wait, I think I messed up.
  1543. Aznx 5/16/06 7:30:13 PM EDT:
  1544. Aznx 5/16/06 7:30:19 PM EDT:
  1545. bwang8 5/16/06 7:30:19 PM EDT: their problem is indeed interesting
  1546. Aznx 5/16/06 7:30:23 PM EDT:
  1547. Aznx 5/16/06 7:30:26 PM EDT:
  1548. Aznx 5/16/06 7:30:28 PM EDT:
  1549. Quicksilver 5/16/06 7:30:31 PM EDT: yes
  1550. Aznx 5/16/06 7:30:31 PM EDT:
  1551. Aznx 5/16/06 7:30:34 PM EDT:
  1552. Aznx 5/16/06 7:30:38 PM EDT:
  1553. Aznx 5/16/06 7:30:44 PM EDT: lol, it looks horrible
  1554. bwang8 5/16/06 7:30:48 PM EDT: lol
  1555. Aznx 5/16/06 7:30:56 PM EDT:
  1556. Aznx 5/16/06 7:30:56 PM EDT:
  1557. Aznx 5/16/06 7:30:58 PM EDT:
  1558. Aznx 5/16/06 7:31:01 PM EDT: Ok
  1559. Aznx 5/16/06 7:31:23 PM EDT: How would you grow this pattern?
  1560. Aznx 5/16/06 7:31:32 PM EDT: Like a tesselation?
  1561. Quicksilver 5/16/06 7:31:40 PM EDT: No
  1562. Quicksilver 5/16/06 7:31:45 PM EDT: It doesn't tesselate
  1563. bwang8 5/16/06 7:31:50 PM EDT:
  1564. bwang8 5/16/06 7:31:53 PM EDT:
  1565. Aznx 5/16/06 7:31:55 PM EDT: Actually it does
  1566. bwang8 5/16/06 7:31:57 PM EDT:
  1567. Quicksilver 5/16/06 7:31:58 PM EDT: How?
  1568. Aznx 5/16/06 7:32:03 PM EDT: Hold on
  1569. bwang8 5/16/06 7:32:07 PM EDT:
  1570. bwang8 5/16/06 7:32:08 PM EDT:
  1571. bwang8 5/16/06 7:32:09 PM EDT:
  1572. bwang8 5/16/06 7:32:09 PM EDT:
  1573. bwang8 5/16/06 7:32:10 PM EDT:
  1574. Quicksilver 5/16/06 7:32:11 PM EDT: color the portion
  1575. Aznx 5/16/06 7:32:13 PM EDT:
  1576. Aznx 5/16/06 7:32:16 PM EDT:
  1577. Aznx 5/16/06 7:32:18 PM EDT:
  1578. Aznx 5/16/06 7:32:20 PM EDT:
  1579. Aznx 5/16/06 7:32:35 PM EDT:
  1580. Aznx 5/16/06 7:32:44 PM EDT:
  1581. Quicksilver 5/16/06 7:32:48 PM EDT: Besides, It grows in all directions
  1582. Aznx 5/16/06 7:32:56 PM EDT: But it fits
  1583. Aznx 5/16/06 7:33:05 PM EDT: You can do it on your own scratch piece of paper =P
  1584. bwang8 5/16/06 7:33:06 PM EDT: ok
  1585. bwang8 5/16/06 7:33:16 PM EDT: lets think about the equatin
  1586. bwang8 5/16/06 7:33:22 PM EDT: equation
  1587. Quicksilver 5/16/06 7:33:23 PM EDT: yes
  1588. bwang8 5/16/06 7:33:30 PM EDT: how did they derive it
  1589. Aznx 5/16/06 7:33:50 PM EDT: There's the formula
  1590. bwang8 5/16/06 7:33:57 PM EDT: (n^2+(n-1)^2)*2+n*3-2
  1591. bwang8 5/16/06 7:34:08 PM EDT: n^2+(n-1)^2
  1592. Aznx 5/16/06 7:34:18 PM EDT: The 3n has to do with the growing outer layer of the pattern I think.
  1593. Quicksilver 5/16/06 7:34:23 PM EDT: the sides and squares
  1594. Aznx 5/16/06 7:34:55 PM EDT: Right.
  1595. Aznx 5/16/06 7:35:09 PM EDT: There.
  1596. Aznx 5/16/06 7:35:36 PM EDT: I have an interesting way to look at this problem.
  1597. Quicksilver 5/16/06 7:35:42 PM EDT: Tell us
  1598. Aznx 5/16/06 7:35:45 PM EDT: Can you see how it fits inside a quare?
  1599. bwang8 5/16/06 7:35:45 PM EDT: yes
  1600. Quicksilver 5/16/06 7:35:52 PM EDT: Yes
  1601. bwang8 5/16/06 7:35:53 PM EDT: oh
  1602. bwang8 5/16/06 7:35:55 PM EDT: yes
  1603. Quicksilver 5/16/06 7:36:01 PM EDT: You are sayingthe extra spaces...
  1604. Aznx 5/16/06 7:36:05 PM EDT: Also, do you see if you add up the missing areas
  1605. Quicksilver 5/16/06 7:36:11 PM EDT: Yes...
  1606. Quicksilver 5/16/06 7:36:18 PM EDT: they look similar to the original figures
  1607. Quicksilver 5/16/06 7:36:21 PM EDT: figure
  1608. Aznx 5/16/06 7:36:21 PM EDT: It is equivalent in size to the small circle in the pattern
  1609. Quicksilver 5/16/06 7:36:33 PM EDT: Small circle?
  1610. Aznx 5/16/06 7:36:39 PM EDT: The only part you would be missing out are the four squares
  1611. Aznx 5/16/06 7:36:49 PM EDT: on the outer areas of this square
  1612. Aznx 5/16/06 7:37:00 PM EDT: Doi you guys get what I mean?
  1613. bwang8 5/16/06 7:37:07 PM EDT: yes
  1614. Quicksilver 5/16/06 7:37:08 PM EDT: Show what u mean on the witeboard
  1615. Quicksilver 5/16/06 7:37:11 PM EDT: i dont get it
  1616. Aznx 5/16/06 7:37:14 PM EDT: bwang you show him
  1617. Aznx 5/16/06 7:37:17 PM EDT: since you get it
  1618. bwang8 5/16/06 7:37:19 PM EDT:
  1619. bwang8 5/16/06 7:37:23 PM EDT:
  1620. bwang8 5/16/06 7:37:26 PM EDT:
  1621. bwang8 5/16/06 7:37:30 PM EDT:
  1622. bwang8 5/16/06 7:37:32 PM EDT:
  1623. bwang8 5/16/06 7:37:34 PM EDT:
  1624. bwang8 5/16/06 7:37:37 PM EDT:
  1625. bwang8 5/16/06 7:37:39 PM EDT:
  1626. bwang8 5/16/06 7:37:41 PM EDT:
  1627. bwang8 5/16/06 7:37:50 PM EDT:
  1628. bwang8 5/16/06 7:37:53 PM EDT:
  1629. bwang8 5/16/06 7:37:55 PM EDT:
  1630. bwang8 5/16/06 7:37:57 PM EDT:
  1631. bwang8 5/16/06 7:38:18 PM EDT: we just have to find the whole square and minus the four corners
  1632. Aznx 5/16/06 7:38:19 PM EDT: The red areas
  1633. Quicksilver 5/16/06 7:38:27 PM EDT: no
  1634. Aznx 5/16/06 7:38:30 PM EDT: are eqivalent ot the middle square
  1635. Quicksilver 5/16/06 7:38:39 PM EDT:
  1636. Aznx 5/16/06 7:38:39 PM EDT: Does that make sense?
  1637. Quicksilver 5/16/06 7:38:45 PM EDT: no
  1638. Quicksilver 5/16/06 7:38:53 PM EDT: Because what about these
  1639. Aznx 5/16/06 7:38:55 PM EDT: Ok
  1640. Aznx 5/16/06 7:38:58 PM EDT: lemme show you
  1641. Aznx 5/16/06 7:39:02 PM EDT:
  1642. Aznx 5/16/06 7:39:06 PM EDT:
  1643. Aznx 5/16/06 7:39:10 PM EDT:
  1644. Aznx 5/16/06 7:39:12 PM EDT:
  1645. Aznx 5/16/06 7:39:14 PM EDT:
  1646. Aznx 5/16/06 7:39:16 PM EDT:
  1647. Aznx 5/16/06 7:39:24 PM EDT: There's this original suqare in the pattern first
  1648. Aznx 5/16/06 7:39:28 PM EDT: Pluis....
  1649. Aznx 5/16/06 7:39:31 PM EDT:
  1650. Aznx 5/16/06 7:39:33 PM EDT:
  1651. Aznx 5/16/06 7:39:36 PM EDT:
  1652. Quicksilver 5/16/06 7:39:37 PM EDT: Are those nine squares these
  1653. Aznx 5/16/06 7:39:38 PM EDT:
  1654. Aznx 5/16/06 7:39:42 PM EDT: Yeah
  1655. Quicksilver 5/16/06 7:39:59 PM EDT: Ok keep going
  1656. bwang8 5/16/06 7:40:00 PM EDT: no
  1657. Quicksilver 5/16/06 7:40:05 PM EDT: ?
  1658. bwang8 5/16/06 7:40:11 PM EDT: it's a shrink down version
  1659. bwang8 5/16/06 7:40:16 PM EDT: of the pattern
  1660. Aznx 5/16/06 7:40:16 PM EDT: bwnag's right
  1661. Aznx 5/16/06 7:40:27 PM EDT: this is only looking at a specific size
  1662. Quicksilver 5/16/06 7:40:32 PM EDT: yes
  1663. Quicksilver 5/16/06 7:40:35 PM EDT: i know
  1664. Aznx 5/16/06 7:40:41 PM EDT: So do you understand
  1665. Aznx 5/16/06 7:40:44 PM EDT: it now?
  1666. Quicksilver 5/16/06 7:40:48 PM EDT: i think so
  1667. Aznx 5/16/06 7:40:52 PM EDT: Hold on
  1668. Quicksilver 5/16/06 7:40:59 PM EDT:
  1669. Aznx 5/16/06 7:40:59 PM EDT: Watch the part I'm making right now
  1670. Quicksilver 5/16/06 7:41:04 PM EDT:
  1671. Aznx 5/16/06 7:41:05 PM EDT:
  1672. Aznx 5/16/06 7:41:06 PM EDT:
  1673. Aznx 5/16/06 7:41:08 PM EDT:
  1674. Quicksilver 5/16/06 7:41:08 PM EDT:
  1675. Quicksilver 5/16/06 7:41:09 PM EDT:
  1676. Quicksilver 5/16/06 7:41:10 PM EDT:
  1677. Quicksilver 5/16/06 7:41:13 PM EDT:
  1678. Aznx 5/16/06 7:41:27 PM EDT: See how that part
  1679. Aznx 5/16/06 7:41:32 PM EDT: multiplied by four
  1680. Quicksilver 5/16/06 7:41:38 PM EDT: Is equal to twelve
  1681. Aznx 5/16/06 7:41:39 PM EDT: fits inside that 3x3 square?
  1682. Quicksilver 5/16/06 7:41:53 PM EDT: No
  1683. Quicksilver 5/16/06 7:42:00 PM EDT: How does twelve fit inside nine?
  1684. Aznx 5/16/06 7:42:02 PM EDT: Oh!
  1685. Aznx 5/16/06 7:42:11 PM EDT: Plus are the remaining four squares
  1686. Aznx 5/16/06 7:42:18 PM EDT: Plus add those four
  1687. Aznx 5/16/06 7:42:24 PM EDT: It works now
  1688. Quicksilver 5/16/06 7:42:28 PM EDT: thes?
  1689. Aznx 5/16/06 7:42:31 PM EDT: It should at least...
  1690. Aznx 5/16/06 7:42:34 PM EDT: Yeah
  1691. Aznx 5/16/06 7:42:46 PM EDT: But apparently 9+4 is 13...
  1692. Aznx 5/16/06 7:42:49 PM EDT: not 12...
  1693. Quicksilver 5/16/06 7:42:58 PM EDT: yeah...
  1694. Aznx 5/16/06 7:43:03 PM EDT: Hold on
  1695. Aznx 5/16/06 7:43:11 PM EDT: Ok.
  1696. Quicksilver 5/16/06 7:43:13 PM EDT: bwang any thoughts?
  1697. Aznx 5/16/06 7:43:15 PM EDT: Now to make it
  1698. bwang8 5/16/06 7:43:33 PM EDT: what is n in their equation
  1699. bwang8 5/16/06 7:43:45 PM EDT:
  1700. bwang8 5/16/06 7:43:47 PM EDT:
  1701. bwang8 5/16/06 7:43:51 PM EDT:
  1702. bwang8 5/16/06 7:43:53 PM EDT:
  1703. Aznx 5/16/06 7:43:56 PM EDT: Good question
  1704. Aznx 5/16/06 7:44:01 PM EDT: I don't know. :P
  1705. bwang8 5/16/06 7:44:03 PM EDT:
  1706. bwang8 5/16/06 7:44:04 PM EDT:
  1707. Quicksilver 5/16/06 7:44:10 PM EDT: Sides, sticks or squares?
  1708. bwang8 5/16/06 7:44:12 PM EDT:
  1709. Aznx 5/16/06 7:44:14 PM EDT: Gerry?
  1710. Quicksilver 5/16/06 7:44:17 PM EDT: let ask xander
  1711. bwang8 5/16/06 7:44:18 PM EDT:
  1712. bwang8 5/16/06 7:44:19 PM EDT:
  1713. bwang8 5/16/06 7:44:22 PM EDT:
  1714. bwang8 5/16/06 7:44:24 PM EDT:
  1715. bwang8 5/16/06 7:44:25 PM EDT:
  1716. bwang8 5/16/06 7:44:27 PM EDT:
  1717. bwang8 5/16/06 7:44:28 PM EDT:
  1718. bwang8 5/16/06 7:44:30 PM EDT:
  1719. bwang8 5/16/06 7:44:31 PM EDT:
  1720. bwang8 5/16/06 7:44:33 PM EDT:
  1721. bwang8 5/16/06 7:44:36 PM EDT:
  1722. bwang8 5/16/06 7:44:38 PM EDT:
  1723. bwang8 5/16/06 7:44:40 PM EDT:
  1724. bwang8 5/16/06 7:44:41 PM EDT:
  1725. bwang8 5/16/06 7:44:44 PM EDT:
  1726. bwang8 5/16/06 7:44:45 PM EDT:
  1727. bwang8 5/16/06 7:44:46 PM EDT:
  1728. bwang8 5/16/06 7:44:47 PM EDT:
  1729. bwang8 5/16/06 7:44:49 PM EDT:
  1730. bwang8 5/16/06 7:44:51 PM EDT:
  1731. bwang8 5/16/06 7:44:53 PM EDT:
  1732. bwang8 5/16/06 7:44:58 PM EDT:
  1733. Gerry 5/16/06 7:45:18 PM EDT: I assume N is the stage in the pattern
  1734. Aznx 5/16/06 7:45:29 PM EDT: What do you mean?
  1735. Quicksilver 5/16/06 7:45:35 PM EDT: That is twelve extra squares in a five by five square
  1736. Aznx 5/16/06 7:45:39 PM EDT: I'm confused how the pattern grows
  1737. Aznx 5/16/06 7:45:50 PM EDT: Oh, I get it now
  1738. Aznx 5/16/06 7:45:56 PM EDT: I was on the right track =P
  1739. Gerry 5/16/06 7:45:59 PM EDT: Just like in the original problem on the Topic
  1740. Gerry 5/16/06 7:47:12 PM EDT: Stage N=1 is one square
  1741. Gerry 5/16/06 7:47:27 PM EDT: Stage N= 2 is a cross of 5 squares
  1742. Quicksilver 5/16/06 7:47:37 PM EDT: Ok
  1743. Gerry 5/16/06 7:48:00 PM EDT: Stage N=3 is the bigger figure with 13 squares
  1744. Quicksilver 5/16/06 7:48:08 PM EDT: Stage N=3 is a cross of 9 squares or 13?
  1745. Aznx 5/16/06 7:48:23 PM EDT: 13
  1746. Aznx 5/16/06 7:48:32 PM EDT: i tihnk
  1747. Quicksilver 5/16/06 7:48:42 PM EDT: Because those extra four are tricky
  1748. Gerry 5/16/06 7:48:46 PM EDT: you could define the sequence either way
  1749. Quicksilver 5/16/06 7:48:54 PM EDT: yeah
  1750. Quicksilver 5/16/06 7:49:01 PM EDT: but it has to be constant
  1751. Gerry 5/16/06 7:49:05 PM EDT: which did they do? Which is more interesting mathematically?
  1752. Aznx 5/16/06 7:49:29 PM EDT: 13
  1753. Aznx 5/16/06 7:49:34 PM EDT: is much more interesting =P
  1754. Quicksilver 5/16/06 7:49:34 PM EDT: it doesn't actually have to be constant but it has to have some kind of patter
  1755. bwang8 5/16/06 7:49:53 PM EDT: ok
  1756. Aznx 5/16/06 7:50:23 PM EDT: Now what do we do?
  1757. Quicksilver 5/16/06 7:50:33 PM EDT: this
  1758. bwang8 5/16/06 7:50:38 PM EDT: (2n-1)^2= the # of squares in the big square
  1759. Aznx 5/16/06 7:50:43 PM EDT: We need to come up with the formula.
  1760. Quicksilver 5/16/06 7:50:49 PM EDT: yes nvrmind
  1761. Aznx 5/16/06 7:50:52 PM EDT: Yeah we came up with that part.
  1762. Aznx 5/16/06 7:50:57 PM EDT: How about the sides?
  1763. Aznx 5/16/06 7:51:02 PM EDT: How did they do that?
  1764. Quicksilver 5/16/06 7:51:07 PM EDT:
  1765. Quicksilver 5/16/06 7:51:11 PM EDT:
  1766. Quicksilver 5/16/06 7:51:13 PM EDT:
  1767. bwang8 5/16/06 7:52:31 PM EDT: i think they first calculate how many sides there are in the big square
  1768. bwang8 5/16/06 7:52:38 PM EDT: and minus the extra ones
  1769. Quicksilver 5/16/06 7:52:51 PM EDT: that could be it
  1770. bwang8 5/16/06 7:53:50 PM EDT: let's first figure out the equation they used to find the number of squares
  1771. Quicksilver 5/16/06 7:54:01 PM EDT: ok
  1772. bwang8 5/16/06 7:54:04 PM EDT: this is the big square
  1773. bwang8 5/16/06 7:54:22 PM EDT: - all the extra
  1774. bwang8 5/16/06 7:54:48 PM EDT: there is 0 extra in stage 1
  1775. bwang8 5/16/06 7:54:59 PM EDT: 1 extra in stage 2
  1776. Quicksilver 5/16/06 7:54:59 PM EDT: Yeah
  1777. bwang8 5/16/06 7:55:08 PM EDT: 2 extra in stage 3
  1778. bwang8 5/16/06 7:55:17 PM EDT: i mean 3 extra in stage 3
  1779. bwang8 5/16/06 7:55:29 PM EDT: is there a pattern
  1780. Quicksilver 5/16/06 7:55:34 PM EDT: Not yet
  1781. bwang8 5/16/06 7:55:53 PM EDT: 6 extra in stage 4
  1782. Quicksilver 5/16/06 7:56:12 PM EDT: Trinagular numbers
  1783. bwang8 5/16/06 7:56:16 PM EDT: yeah
  1784. Quicksilver 5/16/06 7:56:32 PM EDT: Aznx was right earlier...
  1785. bwang8 5/16/06 7:56:34 PM EDT: use it times 4 and you can get the extra squares
  1786. Quicksilver 5/16/06 7:56:41 PM EDT: Yes
  1787. Quicksilver 5/16/06 7:56:49 PM EDT: and just subtract that from the total squares
  1788. Quicksilver 5/16/06 7:56:57 PM EDT: to get the number of squares for each level
  1789. bwang8 5/16/06 7:57:11 PM EDT: oh no!
  1790. bwang8 5/16/06 7:57:16 PM EDT: i have to go now
  1791. Aznx 5/16/06 7:57:16 PM EDT: I never said I was wrong. :P
  1792. bwang8 5/16/06 7:57:21 PM EDT: sorry
  1793. Quicksilver 5/16/06 7:57:21 PM EDT: Wat?
  1794. Quicksilver 5/16/06 7:57:21 PM EDT:
  1795. Quicksilver 5/16/06 7:57:21 PM EDT:
  1796. Quicksilver 5/16/06 7:57:22 PM EDT:
  1797. Quicksilver 5/16/06 7:57:22 PM EDT:
  1798. Quicksilver 5/16/06 7:57:22 PM EDT:
  1799. Quicksilver 5/16/06 7:57:22 PM EDT:
  1800. Quicksilver 5/16/06 7:57:22 PM EDT:
  1801. Quicksilver 5/16/06 7:57:22 PM EDT:
  1802. Quicksilver 5/16/06 7:57:22 PM EDT:
  1803. Quicksilver 5/16/06 7:57:24 PM EDT: sorry
  1804. bwang8 5/16/06 7:57:41 PM EDT: see you thursday
  1805. bwang8 5/16/06 7:57:44 PM EDT: ok
  1806. Aznx 5/16/06 7:57:44 PM EDT: I guess that's all for today then?
  1807. Quicksilver 5/16/06 7:57:48 PM EDT: you have to go?
  1808. Aznx 5/16/06 7:57:52 PM EDT: Do we have to report for the wiki?
  1809. bwang8 5/16/06 7:57:56 PM EDT: you guys can keep working
  1810. bwang8 5/16/06 7:57:59 PM EDT: but i have to go
  1811. Quicksilver 5/16/06 7:58:02 PM EDT: there wasnit really a problem
  1812. Aznx 5/16/06 7:58:03 PM EDT: Should we?
  1813. Quicksilver 5/16/06 7:58:04 PM EDT: ok
  1814. bwang8 5/16/06 7:58:10 PM EDT: bye
  1815. bwang8 5/16/06 7:58:11 PM EDT: now
  1816. Quicksilver 5/16/06 7:58:11 PM EDT: see u on thursday
  1817. Aznx 5/16/06 7:58:12 PM EDT: bye
  1818. bwang8 5/16/06 7:58:14 PM EDT: leaves the room
  1819. Aznx 5/16/06 7:58:23 PM EDT: So do we leave as well?
  1820. Quicksilver 5/16/06 7:58:31 PM EDT: Um...
  1821. Quicksilver 5/16/06 7:58:36 PM EDT: did we acccomplish the goal
  1822. Quicksilver 5/16/06 7:58:41 PM EDT: we discussed last week
  1823. Quicksilver 5/16/06 7:58:51 PM EDT: and we didn't do much else
  1824. Gerry 5/16/06 7:59:02 PM EDT: do you want to leave anything on the wiki for the other groups about your ideas?
  1825. Aznx 5/16/06 7:59:11 PM EDT: Put up the formula.
  1826. Quicksilver 5/16/06 7:59:19 PM EDT: That was team c's formuala
  1827. Quicksilver 5/16/06 7:59:29 PM EDT: which one are you talking about?
  1828. Aznx 5/16/06 7:59:32 PM EDT: No the one on the whiteboard
  1829. Gerry 5/16/06 7:59:36 PM EDT: Do you want to put a message on for Team C?
  1830. Aznx 5/16/06 7:59:51 PM EDT: Aditya write on how we explored the problem more.
  1831. Quicksilver 5/16/06 7:59:52 PM EDT: ok indranil...you put it up
  1832. Aznx 5/16/06 7:59:56 PM EDT: You put it up
  1833. Quicksilver 5/16/06 8:00:03 PM EDT: um...
  1834. Quicksilver 5/16/06 8:00:07 PM EDT: Ok
  1835. Aznx 5/16/06 8:00:14 PM EDT: I'll do it next time. =P
  1836. Quicksilver 5/16/06 8:00:18 PM EDT: but stay on now
  1837. Aznx 5/16/06 8:00:25 PM EDT: Yeah, I wll.
  1838. Quicksilver 5/16/06 8:01:37 PM EDT: Did we actually figure out Team C's formual?
  1839. Quicksilver 5/16/06 8:01:46 PM EDT: or did we just kind of make one of ourselves
  1840. Quicksilver 5/16/06 8:02:11 PM EDT: Indranil?
  1841. Aznx 5/16/06 8:02:14 PM EDT: Yeah we did.
  1842. Quicksilver 5/16/06 8:02:25 PM EDT: We figured out theri formula?
  1843. Aznx 5/16/06 8:02:30 PM EDT: We derived on ourselves, and just used their to double-check.
  1844. Quicksilver 5/16/06 8:02:48 PM EDT: Then you explain it! I'm confusing myself!
  1845. Aznx 5/16/06 8:03:05 PM EDT: Well
  1846. Aznx 5/16/06 8:03:11 PM EDT: Le'ts explain it together right here
  1847. Quicksilver 5/16/06 8:03:18 PM EDT: Ok
  1848. Aznx 5/16/06 8:03:18 PM EDT: so I can clearly know what I'm writing
  1849. Quicksilver 5/16/06 8:03:24 PM EDT: Yes
  1850. Aznx 5/16/06 8:03:25 PM EDT: What was their first formula?
  1851. Aznx 5/16/06 8:03:34 PM EDT:
  1852. Quicksilver 5/16/06 8:03:35 PM EDT: over her
  1853. Aznx 5/16/06 8:04:09 PM EDT: So it as n^2+(n+1)*2+n*3-2
  1854. Aznx 5/16/06 8:04:31 PM EDT: and n^2+(n+1)^2
  1855. Quicksilver 5/16/06 8:04:34 PM EDT: yes
  1856. Aznx 5/16/06 8:04:41 PM EDT: I know we've figured out the second one.
  1857. Quicksilver 5/16/06 8:04:57 PM EDT: yes with the trjiangular numbers and stuff
  1858. Quicksilver 5/16/06 8:05:03 PM EDT: i wrote that on the wiki
  1859. Aznx 5/16/06 8:05:21 PM EDT: I'm not sure if we got the first formula though.
  1860. Quicksilver 5/16/06 8:05:33 PM EDT: i don't think we did
  1861. Aznx 5/16/06 8:06:37 PM EDT: (2n-1)^2=the # of squares in the big square
  1862. Aznx 5/16/06 8:06:46 PM EDT: Correct?
  1863. Quicksilver 5/16/06 8:06:57 PM EDT: Yes
  1864. Quicksilver 5/16/06 8:07:27 PM EDT: But that is not in theri equation
  1865. Aznx 5/16/06 8:07:29 PM EDT: So isn't that our first formula right there?
  1866. Aznx 5/16/06 8:07:36 PM EDT: Hold on.
  1867. Quicksilver 5/16/06 8:07:39 PM EDT: no....we want the sides
  1868. Aznx 5/16/06 8:08:14 PM EDT: Read above.
  1869. Aznx 5/16/06 8:08:24 PM EDT: bwang kind of explains it.
  1870. Aznx 5/16/06 8:08:31 PM EDT: I somehow get it, but can't explain it.
  1871. Quicksilver 5/16/06 8:08:59 PM EDT: then lets pick it up next time when bwang can explain it
  1872. Aznx 5/16/06 8:09:12 PM EDT: So leave for today?
  1873. Quicksilver 5/16/06 8:09:18 PM EDT: i suppose
  1874. Quicksilver 5/16/06 8:09:19 PM EDT:
  1875. Quicksilver 5/16/06 8:09:19 PM EDT:
  1876. Aznx 5/16/06 8:09:25 PM EDT: k bye then
  1877. Quicksilver 5/16/06 8:09:30 PM EDT: ok
  1878. Quicksilver 5/16/06 8:09:31 PM EDT: bye
  1879. Aznx 5/16/06 8:09:33 PM EDT: leaves the room
  1880. Quicksilver 5/16/06 8:09:37 PM EDT: leaves the room
  1881. Gerry 5/16/06 8:09:53 PM EDT: leaves the room
  1882. bwang8 5/16/06 8:42:43 PM EDT: joins the room
  1883. bwang8 5/16/06 10:28:23 PM EDT:
  1884. bwang8 5/16/06 10:28:58 PM EDT:
  1885. bwang8 5/16/06 10:29:01 PM EDT:
  1886. bwang8 5/16/06 10:29:08 PM EDT:
  1887. bwang8 5/16/06 10:29:16 PM EDT:
  1888. bwang8 5/16/06 10:29:20 PM EDT:
  1889. bwang8 5/16/06 10:29:23 PM EDT:
  1890. bwang8 5/16/06 10:29:27 PM EDT:
  1891. bwang8 5/16/06 10:29:30 PM EDT:
  1892. bwang8 5/16/06 10:29:33 PM EDT:
  1893. bwang8 5/16/06 10:29:34 PM EDT:
  1894. bwang8 5/16/06 10:29:37 PM EDT:
  1895. bwang8 5/16/06 10:31:05 PM EDT:
  1896. bwang8 5/16/06 10:31:10 PM EDT:
  1897. bwang8 5/16/06 10:31:12 PM EDT:
  1898. bwang8 5/16/06 10:31:14 PM EDT:
  1899. bwang8 5/16/06 10:31:19 PM EDT:
  1900. bwang8 5/17/06 12:18:23 AM EDT: Sorry i have to leave early
  1901. bwang8 5/17/06 12:18:56 AM EDT: i updated our wiki page to explain the equation from the last session
  1902. bwang8 5/17/06 12:30:07 AM EDT:
  1903. bwang8 5/17/06 12:30:08 AM EDT:
  1904. bwang8 5/17/06 12:30:11 AM EDT:
  1905. bwang8 5/17/06 12:34:54 AM EDT: i also added some stuff, change anything you want
  1906. bwang8 5/17/06 12:39:55 AM EDT: i hope you can read this
  1907. bwang8 5/17/06 12:39:59 AM EDT: leaves the room
  1908. Gerry 5/17/06 2:01:20 PM EDT: joins the room
  1909. tutor 5/17/06 2:26:46 PM EDT: joins the room
  1910. tutor 5/17/06 2:32:44 PM EDT: joins the room
  1911. tutor 5/17/06 2:53:05 PM EDT: leaves the room
  1912. Gerry 5/17/06 5:31:30 PM EDT:
  1913. Gerry 5/17/06 5:31:36 PM EDT:
  1914. Gerry 5/17/06 5:31:40 PM EDT:
  1915. Gerry 5/17/06 5:31:47 PM EDT:
  1916. Gerry 5/17/06 5:32:41 PM EDT: Here is some feedback from the VMT mentors.
  1917. Gerry 5/17/06 5:34:26 PM EDT: leaves the room
  1918. Gerry 5/18/06 6:35:44 PM EDT: joins the room
  1919. bwang8 5/18/06 6:53:08 PM EDT: joins the room
  1920. bwang8 5/18/06 6:53:20 PM EDT: hi
  1921. bwang8 5/18/06 6:54:44 PM EDT:
  1922. bwang8 5/18/06 6:54:46 PM EDT:
  1923. bwang8 5/18/06 6:54:50 PM EDT:
  1924. bwang8 5/18/06 6:54:54 PM EDT:
  1925. bwang8 5/18/06 6:54:55 PM EDT:
  1926. bwang8 5/18/06 6:54:56 PM EDT:
  1927. bwang8 5/18/06 6:55:45 PM EDT: $sum(1,n,3)=
  1928. bwang8 5/18/06 6:55:59 PM EDT: $sum(1,n,3)=$
  1929. bwang8 5/18/06 6:56:15 PM EDT:
  1930. bwang8 5/18/06 6:56:17 PM EDT:
  1931. bwang8 5/18/06 6:56:19 PM EDT:
  1932. bwang8 5/18/06 6:56:23 PM EDT:
  1933. bwang8 5/18/06 6:56:29 PM EDT:
  1934. bwang8 5/18/06 6:56:35 PM EDT:
  1935. bwang8 5/18/06 6:56:37 PM EDT:
  1936. bwang8 5/18/06 6:56:38 PM EDT:
  1937. bwang8 5/18/06 6:56:40 PM EDT:
  1938. bwang8 5/18/06 6:56:40 PM EDT:
  1939. bwang8 5/18/06 6:56:41 PM EDT:
  1940. bwang8 5/18/06 6:56:42 PM EDT:
  1941. bwang8 5/18/06 6:56:42 PM EDT:
  1942. bwang8 5/18/06 6:56:44 PM EDT:
  1943. bwang8 5/18/06 6:56:50 PM EDT:
  1944. bwang8 5/18/06 6:56:52 PM EDT:
  1945. bwang8 5/18/06 6:56:53 PM EDT:
  1946. bwang8 5/18/06 6:56:54 PM EDT:
  1947. bwang8 5/18/06 6:56:55 PM EDT:
  1948. bwang8 5/18/06 6:56:56 PM EDT:
  1949. bwang8 5/18/06 6:56:57 PM EDT:
  1950. bwang8 5/18/06 6:57:00 PM EDT:
  1951. bwang8 5/18/06 6:57:16 PM EDT:
  1952. bwang8 5/18/06 6:57:58 PM EDT: $sum(1,n,1) =? 4n(n+1)+(n+1)
  1953. Quicksilver 5/18/06 6:58:10 PM EDT: joins the room
  1954. Quicksilver 5/18/06 6:58:29 PM EDT: leaves the room
  1955. bwang8 5/18/06 6:58:42 PM EDT: $sum(1,n,1) =? 4n(n+1)+(n+1)$
  1956. bwang8 5/18/06 6:58:52 PM EDT: $sum(1,n,1)=4n(n+1)+(n+1)$
  1957. bwang8 5/18/06 6:59:09 PM EDT: $sum(1,n,1)= 4n(n+1)+(n+1)$
  1958. bwang8 5/18/06 6:59:28 PM EDT: $sum(1,n,1)=?4n(n+1)+(n+1)$
  1959. bwang8 5/18/06 6:59:34 PM EDT: $sum(1,n,1)= 4n(n+1)+(n+1)$
  1960. bwang8 5/18/06 6:59:59 PM EDT: $sum(n=1,n,1)=4n(n+1)+(n+1)$
  1961. Quicksilver 5/18/06 7:00:10 PM EDT: joins the room
  1962. bwang8 5/18/06 7:00:17 PM EDT: hi
  1963. Aznx 5/18/06 7:00:26 PM EDT: joins the room
  1964. Quicksilver 5/18/06 7:00:26 PM EDT: lol aznx joined the lobby at exactly 4 pm.
  1965. bwang8 5/18/06 7:00:35 PM EDT: lol
  1966. bwang8 5/18/06 7:00:36 PM EDT: ok
  1967. bwang8 5/18/06 7:00:49 PM EDT: do the rewind button on the chat thing
  1968. Gerry 5/18/06 7:00:55 PM EDT: lol. U guys are punctual
  1969. Aznx 5/18/06 7:00:58 PM EDT: Hey everyone
  1970. Aznx 5/18/06 7:01:03 PM EDT: leaves the room
  1971. bwang8 5/18/06 7:01:03 PM EDT: hi
  1972. Quicksilver 5/18/06 7:01:05 PM EDT: hey
  1973. Aznx 5/18/06 7:01:07 PM EDT: joins the room
  1974. Quicksilver 5/18/06 7:01:10 PM EDT: thanks
  1975. Aznx 5/18/06 7:01:41 PM EDT: leaves the room
  1976. bwang8 5/18/06 7:01:45 PM EDT: ?
  1977. Aznx 5/18/06 7:01:47 PM EDT: joins the room
  1978. Gerry 5/18/06 7:01:48 PM EDT: Can everyone see the purple feedback? Someone moved it over a bit
  1979. Quicksilver 5/18/06 7:01:49 PM EDT:
  1980. bwang8 5/18/06 7:01:56 PM EDT: ywa
  1981. bwang8 5/18/06 7:01:58 PM EDT: yes
  1982. Quicksilver 5/18/06 7:02:01 PM EDT: yes
  1983. bwang8 5/18/06 7:02:28 PM EDT: $sum(n=1,n,1)=4*n(n+1)+(n+1)$
  1984. Aznx 5/18/06 7:02:32 PM EDT: test
  1985. bwang8 5/18/06 7:02:36 PM EDT: test
  1986. Aznx 5/18/06 7:02:38 PM EDT: I can't see my own messages
  1987. Quicksilver 5/18/06 7:02:43 PM EDT: i can
  1988. Aznx 5/18/06 7:02:44 PM EDT: I'm going to log out
  1989. Aznx 5/18/06 7:02:46 PM EDT: completely
  1990. Quicksilver 5/18/06 7:02:48 PM EDT: ok
  1991. Aznx 5/18/06 7:02:52 PM EDT: and try back logging in
  1992. bwang8 5/18/06 7:02:52 PM EDT: ok
  1993. Aznx 5/18/06 7:02:53 PM EDT: hold on
  1994. Quicksilver 5/18/06 7:02:56 PM EDT: k
  1995. Aznx 5/18/06 7:02:56 PM EDT: yay
  1996. Aznx 5/18/06 7:02:59 PM EDT: it loaded!
  1997. Aznx 5/18/06 7:03:01 PM EDT: =D
  1998. bwang8 5/18/06 7:03:09 PM EDT: great
  1999. Quicksilver 5/18/06 7:03:28 PM EDT:
  2000. Quicksilver 5/18/06 7:03:44 PM EDT: for this session, it says to revisit an old problem
  2001. bwang8 5/18/06 7:03:45 PM EDT:
  2002. bwang8 5/18/06 7:03:49 PM EDT:
  2003. Aznx 5/18/06 7:04:10 PM EDT: Hm.
  2004. Aznx 5/18/06 7:04:16 PM EDT: Let's make a new problem
  2005. Quicksilver 5/18/06 7:04:16 PM EDT:
  2006. bwang8 5/18/06 7:04:18 PM EDT: the pryamid one that we didn't finish last time
  2007. Aznx 5/18/06 7:04:21 PM EDT: Not necessarily 3-D
  2008. Aznx 5/18/06 7:04:26 PM EDT: Yeah
  2009. Quicksilver 5/18/06 7:04:31 PM EDT: ok
  2010. Aznx 5/18/06 7:04:32 PM EDT: let's do the pyramid one
  2011. Quicksilver 5/18/06 7:04:35 PM EDT:
  2012. Aznx 5/18/06 7:05:09 PM EDT: How do you remove things from the board?
  2013. Quicksilver 5/18/06 7:05:18 PM EDT: u select and delete
  2014. bwang8 5/18/06 7:05:22 PM EDT: it is the 2 flat sided pyramid
  2015. Quicksilver 5/18/06 7:05:34 PM EDT: oh yes....like the corner of a room
  2016. Aznx 5/18/06 7:05:36 PM EDT:
  2017. bwang8 5/18/06 7:05:42 PM EDT: by the way check out our wiki page
  2018. Aznx 5/18/06 7:05:45 PM EDT: How do you delete?
  2019. Quicksilver 5/18/06 7:05:45 PM EDT: ok
  2020. Quicksilver 5/18/06 7:05:46 PM EDT:
  2021. bwang8 5/18/06 7:05:48 PM EDT: i updated some stuff
  2022. Aznx 5/18/06 7:05:52 PM EDT: I see how you select.
  2023. Aznx 5/18/06 7:05:58 PM EDT: But how to delete?
  2024. bwang8 5/18/06 7:06:06 PM EDT: del button on your keyboard would work
  2025. Aznx 5/18/06 7:06:10 PM EDT:
  2026. Quicksilver 5/18/06 7:06:11 PM EDT: yea
  2027. Aznx 5/18/06 7:06:12 PM EDT:
  2028. Aznx 5/18/06 7:06:14 PM EDT:
  2029. Aznx 5/18/06 7:06:15 PM EDT:
  2030. Aznx 5/18/06 7:06:16 PM EDT:
  2031. Aznx 5/18/06 7:06:17 PM EDT:
  2032. Aznx 5/18/06 7:06:18 PM EDT:
  2033. Aznx 5/18/06 7:06:19 PM EDT:
  2034. Aznx 5/18/06 7:06:21 PM EDT:
  2035. Aznx 5/18/06 7:06:22 PM EDT:
  2036. Aznx 5/18/06 7:06:22 PM EDT:
  2037. Aznx 5/18/06 7:06:23 PM EDT:
  2038. Aznx 5/18/06 7:06:25 PM EDT:
  2039. Aznx 5/18/06 7:06:26 PM EDT:
  2040. Aznx 5/18/06 7:06:27 PM EDT:
  2041. Aznx 5/18/06 7:06:28 PM EDT:
  2042. Aznx 5/18/06 7:06:29 PM EDT:
  2043. Aznx 5/18/06 7:06:29 PM EDT:
  2044. Aznx 5/18/06 7:06:30 PM EDT:
  2045. Aznx 5/18/06 7:06:31 PM EDT:
  2046. Aznx 5/18/06 7:06:32 PM EDT:
  2047. Aznx 5/18/06 7:06:32 PM EDT:
  2048. Aznx 5/18/06 7:06:35 PM EDT:
  2049. Aznx 5/18/06 7:06:36 PM EDT:
  2050. Aznx 5/18/06 7:06:36 PM EDT:
  2051. Aznx 5/18/06 7:06:37 PM EDT:
  2052. Aznx 5/18/06 7:06:39 PM EDT:
  2053. Aznx 5/18/06 7:06:39 PM EDT:
  2054. Aznx 5/18/06 7:06:40 PM EDT:
  2055. Aznx 5/18/06 7:06:41 PM EDT:
  2056. Aznx 5/18/06 7:06:42 PM EDT:
  2057. Aznx 5/18/06 7:06:43 PM EDT:
  2058. Aznx 5/18/06 7:06:45 PM EDT:
  2059. Aznx 5/18/06 7:06:46 PM EDT:
  2060. Aznx 5/18/06 7:06:52 PM EDT:
  2061. Aznx 5/18/06 7:06:54 PM EDT:
  2062. Aznx 5/18/06 7:06:57 PM EDT:
  2063. Aznx 5/18/06 7:06:58 PM EDT:
  2064. Aznx 5/18/06 7:06:59 PM EDT:
  2065. Aznx 5/18/06 7:07:00 PM EDT:
  2066. Aznx 5/18/06 7:07:01 PM EDT:
  2067. Aznx 5/18/06 7:07:03 PM EDT:
  2068. Aznx 5/18/06 7:07:04 PM EDT:
  2069. Aznx 5/18/06 7:07:05 PM EDT:
  2070. Aznx 5/18/06 7:07:05 PM EDT:
  2071. Aznx 5/18/06 7:07:06 PM EDT:
  2072. Aznx 5/18/06 7:07:07 PM EDT:
  2073. Aznx 5/18/06 7:07:07 PM EDT:
  2074. bwang8 5/18/06 7:07:07 PM EDT: can someone make our wiki page clearer
  2075. Aznx 5/18/06 7:07:09 PM EDT:
  2076. Aznx 5/18/06 7:07:11 PM EDT:
  2077. Aznx 5/18/06 7:07:13 PM EDT:
  2078. Aznx 5/18/06 7:07:14 PM EDT:
  2079. bwang8 5/18/06 7:07:19 PM EDT: i can't explain it clear enough
  2080. Quicksilver 5/18/06 7:07:25 PM EDT: indranil can u stop delelting for a sec
  2081. bwang8 5/18/06 7:07:38 PM EDT:
  2082. Quicksilver 5/18/06 7:07:39 PM EDT: i can't even see anything for team b on the wiki
  2083. Aznx 5/18/06 7:07:39 PM EDT: Should I delete the session II board?
  2084. bwang8 5/18/06 7:07:41 PM EDT:
  2085. bwang8 5/18/06 7:07:46 PM EDT:
  2086. bwang8 5/18/06 7:07:48 PM EDT:
  2087. bwang8 5/18/06 7:07:51 PM EDT:
  2088. Quicksilver 5/18/06 7:07:55 PM EDT: just minimize
  2089. Quicksilver 5/18/06 7:07:57 PM EDT:
  2090. Quicksilver 5/18/06 7:08:00 PM EDT:
  2091. Quicksilver 5/18/06 7:08:03 PM EDT:
  2092. Quicksilver 5/18/06 7:08:04 PM EDT:
  2093. Quicksilver 5/18/06 7:08:07 PM EDT:
  2094. Quicksilver 5/18/06 7:08:10 PM EDT:
  2095. Quicksilver 5/18/06 7:08:12 PM EDT:
  2096. bwang8 5/18/06 7:08:14 PM EDT: ok
  2097. Aznx 5/18/06 7:08:16 PM EDT: ok
  2098. Quicksilver 5/18/06 7:08:27 PM EDT: i don't see anything on the wiki for team b
  2099. bwang8 5/18/06 7:08:33 PM EDT: ?
  2100. Quicksilver 5/18/06 7:08:35 PM EDT:
  2101. Quicksilver 5/18/06 7:08:38 PM EDT:
  2102. Quicksilver 5/18/06 7:08:43 PM EDT: i see team a and c
  2103. Quicksilver 5/18/06 7:08:46 PM EDT: but i don't see team b
  2104. Aznx 5/18/06 7:09:04 PM EDT: ?
  2105. bwang8 5/18/06 7:09:04 PM EDT: which page
  2106. bwang8 5/18/06 7:09:08 PM EDT: are yuou on
  2107. Quicksilver 5/18/06 7:09:20 PM EDT: o wait...
  2108. Quicksilver 5/18/06 7:09:26 PM EDT: I'm on patterns fo the sticks
  2109. Aznx 5/18/06 7:10:05 PM EDT: I see it.
  2110. Quicksilver 5/18/06 7:10:06 PM EDT: k got it
  2111. bwang8 5/18/06 7:10:19 PM EDT:
  2112. Quicksilver 5/18/06 7:10:46 PM EDT:
  2113. Gerry 5/18/06 7:10:46 PM EDT: click on the wiki "Index" -- you might want http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas
  2114. Quicksilver 5/18/06 7:11:02 PM EDT: i got it already, but thanks
  2115. Quicksilver 5/18/06 7:11:08 PM EDT:
  2116. Quicksilver 5/18/06 7:11:11 PM EDT:
  2117. Quicksilver 5/18/06 7:11:14 PM EDT:
  2118. Quicksilver 5/18/06 7:11:17 PM EDT:
  2119. Quicksilver 5/18/06 7:11:26 PM EDT:
  2120. Quicksilver 5/18/06 7:11:46 PM EDT: what happened at the bottom of the comments?
  2121. Quicksilver 5/18/06 7:11:47 PM EDT:
  2122. Aznx 5/18/06 7:11:54 PM EDT: Ok.
  2123. Aznx 5/18/06 7:12:00 PM EDT: Let's first discuss about the feedback.
  2124. bwang8 5/18/06 7:12:06 PM EDT: ok
  2125. Aznx 5/18/06 7:12:06 PM EDT: As usual, what do you guys think?
  2126. bwang8 5/18/06 7:12:18 PM EDT: yeah, we didn't work that well last seesion
  2127. bwang8 5/18/06 7:12:38 PM EDT: i don't think we understand each other's point
  2128. Aznx 5/18/06 7:12:51 PM EDT: I kind of agree and disagree.
  2129. bwang8 5/18/06 7:12:57 PM EDT:
  2130. Quicksilver 5/18/06 7:12:59 PM EDT: same
  2131. Quicksilver 5/18/06 7:13:12 PM EDT: because sometimes we weren't clear on waht the problem actually was
  2132. Aznx 5/18/06 7:13:14 PM EDT: I disagree because soemtimes, by having a different aspect of the other person's point of view, you come up with a new conecpt bof the problem.
  2133. bwang8 5/18/06 7:13:23 PM EDT: ok
  2134. Quicksilver 5/18/06 7:13:34 PM EDT: yea
  2135. Aznx 5/18/06 7:13:39 PM EDT: This would allow us to further investigate not only the answer, but the reason behind it.
  2136. Quicksilver 5/18/06 7:13:52 PM EDT: we might understand the person differentyly than the other person would
  2137. Aznx 5/18/06 7:13:56 PM EDT: Plus, it become much easier to draw more problems similar to it from just one problem.
  2138. bwang8 5/18/06 7:14:10 PM EDT: yeah
  2139. Quicksilver 5/18/06 7:14:17 PM EDT: yes...but at the same time we can't really focus in on one problem
  2140. Quicksilver 5/18/06 7:14:23 PM EDT: but it is good we are finding similarities
  2141. Quicksilver 5/18/06 7:14:28 PM EDT: to other problems
  2142. bwang8 5/18/06 7:14:38 PM EDT: let's just focus on diamond problem today
  2143. Aznx 5/18/06 7:14:44 PM EDT: So let's really focus on the pyramid.
  2144. bwang8 5/18/06 7:14:48 PM EDT: we almost got the solution last seesion
  2145. Quicksilver 5/18/06 7:14:49 PM EDT: lol
  2146. Aznx 5/18/06 7:14:49 PM EDT: Diamond or pyramid?
  2147. bwang8 5/18/06 7:14:55 PM EDT: diamond
  2148. Aznx 5/18/06 7:14:59 PM EDT: aditya?
  2149. bwang8 5/18/06 7:15:02 PM EDT: because we worked on it longer
  2150. Quicksilver 5/18/06 7:15:03 PM EDT: diamond
  2151. Aznx 5/18/06 7:15:08 PM EDT: agreed then
  2152. bwang8 5/18/06 7:15:11 PM EDT: ok
  2153. Quicksilver 5/18/06 7:15:13 PM EDT: we have a more thorough understanding of it
  2154. bwang8 5/18/06 7:15:18 PM EDT: yeah
  2155. Quicksilver 5/18/06 7:15:37 PM EDT:
  2156. Quicksilver 5/18/06 7:15:42 PM EDT:
  2157. Quicksilver 5/18/06 7:15:57 PM EDT: so where were we?
  2158. bwang8 5/18/06 7:16:00 PM EDT: so right now we know that we must calculate the number of squares on each level by making a big square and minus the 4 extra corners
  2159. Aznx 5/18/06 7:16:03 PM EDT: I'd say, we work on the pyramid problem, solve it thoroughly, and then state the solution as they suggested in the feedback. Then, if we have enough time, which probably will ,we'll sytart on the pyramid problem.
  2160. Quicksilver 5/18/06 7:16:21 PM EDT: u said two pyramid problems?
  2161. Quicksilver 5/18/06 7:16:27 PM EDT: read ur thing again
  2162. Aznx 5/18/06 7:16:27 PM EDT: OOps
  2163. Aznx 5/18/06 7:16:34 PM EDT: I meant in the first part
  2164. Aznx 5/18/06 7:16:37 PM EDT: the diamond problem
  2165. Aznx 5/18/06 7:16:41 PM EDT: not the pyramid
  2166. bwang8 5/18/06 7:16:41 PM EDT: lol
  2167. Quicksilver 5/18/06 7:16:45 PM EDT: so do diamond?
  2168. bwang8 5/18/06 7:16:48 PM EDT:
  2169. Aznx 5/18/06 7:16:49 PM EDT: so we first work on the diamond solutions
  2170. bwang8 5/18/06 7:16:49 PM EDT:
  2171. Aznx 5/18/06 7:16:51 PM EDT: yeah
  2172. Aznx 5/18/06 7:16:57 PM EDT: we pretty much solved it didnt we?
  2173. bwang8 5/18/06 7:17:09 PM EDT: yeah
  2174. Aznx 5/18/06 7:17:11 PM EDT: Well 50% of it I should say.
  2175. Quicksilver 5/18/06 7:17:15 PM EDT: lets just recap the process
  2176. Quicksilver 5/18/06 7:17:27 PM EDT: from the point of view who had never seen this problem
  2177. bwang8 5/18/06 7:17:32 PM EDT: we know how to calculate the big square in a level
  2178. Quicksilver 5/18/06 7:17:44 PM EDT: ok hold on
  2179. bwang8 5/18/06 7:17:50 PM EDT: as in this
  2180. bwang8 5/18/06 7:17:56 PM EDT: whole thing
  2181. Quicksilver 5/18/06 7:17:57 PM EDT: our objective is to find the amount of squares and sticks in each level righrt?
  2182. bwang8 5/18/06 7:18:03 PM EDT: yeo
  2183. bwang8 5/18/06 7:18:04 PM EDT: yep
  2184. Aznx 5/18/06 7:18:08 PM EDT: Yeah, intending that it is n.
  2185. Quicksilver 5/18/06 7:18:10 PM EDT: that was stpe a
  2186. Quicksilver 5/18/06 7:18:15 PM EDT: from the comments
  2187. Aznx 5/18/06 7:18:18 PM EDT: no, step one
  2188. Quicksilver 5/18/06 7:18:21 PM EDT: we defined the problem
  2189. Aznx 5/18/06 7:18:26 PM EDT: oh
  2190. Aznx 5/18/06 7:18:27 PM EDT: yes
  2191. Quicksilver 5/18/06 7:18:40 PM EDT: lets put that in the wiki now\\
  2192. Aznx 5/18/06 7:18:45 PM EDT: So we dfined the problem.
  2193. Aznx 5/18/06 7:18:50 PM EDT: Hold on.
  2194. Aznx 5/18/06 7:18:56 PM EDT: Let's finish the ewntire thing up first.
  2195. bwang8 5/18/06 7:19:01 PM EDT:
  2196. Aznx 5/18/06 7:19:04 PM EDT: We can always look back if we mess up.
  2197. Quicksilver 5/18/06 7:19:07 PM EDT: ok
  2198. bwang8 5/18/06 7:19:24 PM EDT: the formula is correct, right?
  2199. Aznx 5/18/06 7:19:24 PM EDT: So now we should focus on integrating the solutioni and how we found it.
  2200. Quicksilver 5/18/06 7:19:42 PM EDT: yup
  2201. bwang8 5/18/06 7:19:44 PM EDT: this one
  2202. bwang8 5/18/06 7:19:47 PM EDT: ok
  2203. Aznx 5/18/06 7:19:47 PM EDT: Yeah.
  2204. Aznx 5/18/06 7:19:55 PM EDT: We can always double check, and it's darn right.
  2205. Aznx 5/18/06 7:20:05 PM EDT: So we solve it by really looking at a bigger picture.
  2206. Quicksilver 5/18/06 7:20:15 PM EDT: or bigger square in this case
  2207. Aznx 5/18/06 7:20:20 PM EDT: In this case, the "square" itself.
  2208. Aznx 5/18/06 7:20:23 PM EDT: Yeah.
  2209. bwang8 5/18/06 7:20:34 PM EDT: i think the 4 corner is growing like this
  2210. bwang8 5/18/06 7:20:43 PM EDT: 0,1,3,6,10
  2211. bwang8 5/18/06 7:20:48 PM EDT: what is the pattern
  2212. Aznx 5/18/06 7:20:56 PM EDT: Triagnular numbers.
  2213. Quicksilver 5/18/06 7:20:58 PM EDT: triangular numbers!
  2214. bwang8 5/18/06 7:21:00 PM EDT: yep
  2215. Aznx 5/18/06 7:21:03 PM EDT: We had already figured that out.
  2216. bwang8 5/18/06 7:21:10 PM EDT: we can use the equation from session 1
  2217. Quicksilver 5/18/06 7:21:11 PM EDT: yes
  2218. Aznx 5/18/06 7:21:20 PM EDT: Yup.
  2219. bwang8 5/18/06 7:21:36 PM EDT: n(n+1)/2
  2220. Quicksilver 5/18/06 7:21:39 PM EDT:
  2221. Quicksilver 5/18/06 7:21:41 PM EDT:
  2222. Aznx 5/18/06 7:21:54 PM EDT:
  2223. bwang8 5/18/06 7:21:56 PM EDT: 4*n(n+1)/2= the four corners
  2224. Quicksilver 5/18/06 7:21:57 PM EDT: this right?
  2225. Aznx 5/18/06 7:21:59 PM EDT:
  2226. Aznx 5/18/06 7:22:01 PM EDT:
  2227. bwang8 5/18/06 7:22:03 PM EDT: yes
  2228. Aznx 5/18/06 7:22:06 PM EDT: Yeah
  2229. bwang8 5/18/06 7:22:28 PM EDT: (2n-1)^2-2n(n-1)
  2230. bwang8 5/18/06 7:22:48 PM EDT: this is the equation for each level
  2231. Aznx 5/18/06 7:22:52 PM EDT: So how do we know what to mulitply/change the formula by?
  2232. Quicksilver 5/18/06 7:23:04 PM EDT: we can use the brute force method
  2233. Quicksilver 5/18/06 7:23:15 PM EDT: burt im sure there's a better wayu
  2234. bwang8 5/18/06 7:23:19 PM EDT: wait what do you mean
  2235. Aznx 5/18/06 7:23:19 PM EDT: Suppose we didn't know the formula.
  2236. Quicksilver 5/18/06 7:23:36 PM EDT: hmm..
  2237. Aznx 5/18/06 7:23:39 PM EDT: Not n(n+1)/2
  2238. Quicksilver 5/18/06 7:23:47 PM EDT: so we don't know that?
  2239. bwang8 5/18/06 7:23:50 PM EDT: can you explain this
  2240. Aznx 5/18/06 7:23:57 PM EDT: look
  2241. Quicksilver 5/18/06 7:24:02 PM EDT: he means as the levels increase
  2242. Aznx 5/18/06 7:24:06 PM EDT: first there's n(n+1)/2 right?
  2243. Quicksilver 5/18/06 7:24:09 PM EDT: what is the pattern
  2244. Aznx 5/18/06 7:24:12 PM EDT: So now we nkow
  2245. Aznx 5/18/06 7:24:19 PM EDT: that the number of squares in the pattern
  2246. Aznx 5/18/06 7:24:24 PM EDT: is related to this formula
  2247. Aznx 5/18/06 7:24:32 PM EDT: becuase the numbers are triangular numbers
  2248. Aznx 5/18/06 7:24:43 PM EDT: So from there, what do we know what to do?
  2249. bwang8 5/18/06 7:25:13 PM EDT: n(n+1)/2*4
  2250. Quicksilver 5/18/06 7:25:28 PM EDT: because of four corners
  2251. Quicksilver 5/18/06 7:25:30 PM EDT: right?
  2252. bwang8 5/18/06 7:25:36 PM EDT: that is the number of squares in four corners
  2253. Quicksilver 5/18/06 7:25:40 PM EDT: ok
  2254. Aznx 5/18/06 7:25:43 PM EDT: But that's not what it ends up to be.
  2255. Aznx 5/18/06 7:25:56 PM EDT: If you double check with our already-given formula
  2256. Quicksilver 5/18/06 7:26:00 PM EDT: why?
  2257. Aznx 5/18/06 7:26:07 PM EDT: It's this
  2258. Quicksilver 5/18/06 7:26:12 PM EDT: oh yeah
  2259. Quicksilver 5/18/06 7:26:14 PM EDT: it doesn't work
  2260. bwang8 5/18/06 7:26:15 PM EDT:
  2261. Aznx 5/18/06 7:26:16 PM EDT: The first one
  2262. bwang8 5/18/06 7:26:29 PM EDT: no
  2263. bwang8 5/18/06 7:26:39 PM EDT: it is the second one that calculate the square
  2264. Quicksilver 5/18/06 7:27:11 PM EDT: are you talking about this?
  2265. Aznx 5/18/06 7:27:21 PM EDT: Then what's the first one for?
  2266. Quicksilver 5/18/06 7:27:27 PM EDT: the sticks\\
  2267. Aznx 5/18/06 7:27:33 PM EDT: Oh!
  2268. Aznx 5/18/06 7:27:40 PM EDT: Then the formula makes sense.
  2269. Quicksilver 5/18/06 7:27:45 PM EDT: but pretend we don't know those yet
  2270. Aznx 5/18/06 7:27:47 PM EDT: Yeah, I got it.
  2271. bwang8 5/18/06 7:27:51 PM EDT: lol
  2272. Aznx 5/18/06 7:28:01 PM EDT: I got confused with all the formulas lol.
  2273. Quicksilver 5/18/06 7:28:16 PM EDT: i suppose so
  2274. Aznx 5/18/06 7:28:22 PM EDT: So is that all?
  2275. Quicksilver 5/18/06 7:28:37 PM EDT: what is the actual solution then? those equations?
  2276. Aznx 5/18/06 7:28:43 PM EDT: Yeah.
  2277. bwang8 5/18/06 7:28:50 PM EDT:
  2278. Quicksilver 5/18/06 7:28:59 PM EDT: but when we put in the wiki how we did it....what will we write
  2279. Aznx 5/18/06 7:29:20 PM EDT: Um.
  2280. Aznx 5/18/06 7:29:42 PM EDT: I don't know how to exactly word it.
  2281. Quicksilver 5/18/06 7:29:46 PM EDT: (a) was define the problem, (b) was the solution which we got...
  2282. bwang8 5/18/06 7:29:48 PM EDT: we calculated the # of square if the diamond makes a perfect square
  2283. Aznx 5/18/06 7:29:48 PM EDT: We can define the problem.
  2284. Aznx 5/18/06 7:29:55 PM EDT: We got the solutions.
  2285. Quicksilver 5/18/06 7:30:12 PM EDT: yes
  2286. Quicksilver 5/18/06 7:30:16 PM EDT: the added corners
  2287. Aznx 5/18/06 7:30:18 PM EDT: But I'm not sure how to explain how we got to the solutions, although it makes prefect sense to me.
  2288. Quicksilver 5/18/06 7:30:19 PM EDT: to make a square
  2289. Aznx 5/18/06 7:30:24 PM EDT: I'm just not sure how to explain it.
  2290. Quicksilver 5/18/06 7:30:25 PM EDT: and we found those were triangular numbers
  2291. Aznx 5/18/06 7:30:32 PM EDT: Well, I can explain the second formula.
  2292. Quicksilver 5/18/06 7:30:35 PM EDT: lets go step by step
  2293. Quicksilver 5/18/06 7:30:37 PM EDT: NO!
  2294. Quicksilver 5/18/06 7:30:42 PM EDT: we don't know hte second formula
  2295. Aznx 5/18/06 7:30:45 PM EDT: It was done through the method of finsing the pattern of triangular #s.
  2296. Aznx 5/18/06 7:30:50 PM EDT: Yes we do.
  2297. Quicksilver 5/18/06 7:30:55 PM EDT: ?
  2298. Aznx 5/18/06 7:30:56 PM EDT: Suppose their second formula is our third.
  2299. Quicksilver 5/18/06 7:31:06 PM EDT: That was taem c's tho
  2300. Aznx 5/18/06 7:31:12 PM EDT: No.
  2301. Aznx 5/18/06 7:31:16 PM EDT: They didn't do.
  2302. Aznx 5/18/06 7:31:20 PM EDT: The nuumber of squares
  2303. Quicksilver 5/18/06 7:31:25 PM EDT: ohj!
  2304. Aznx 5/18/06 7:31:26 PM EDT: or the find the big square
  2305. Quicksilver 5/18/06 7:31:27 PM EDT: that formula
  2306. Quicksilver 5/18/06 7:31:31 PM EDT: i thot u meant the other one
  2307. Quicksilver 5/18/06 7:31:36 PM EDT: yeah that is ours
  2308. bwang8 5/18/06 7:32:37 PM EDT: point formula out with the tools so we don't get confused
  2309. Quicksilver 5/18/06 7:32:43 PM EDT:
  2310. Aznx 5/18/06 7:32:49 PM EDT: So we're technically done with all of it right?
  2311. Quicksilver 5/18/06 7:32:51 PM EDT: this is ours
  2312. Quicksilver 5/18/06 7:32:58 PM EDT: all right...lets put it on the wiki
  2313. Aznx 5/18/06 7:33:02 PM EDT: That is theirs.
  2314. Quicksilver 5/18/06 7:33:05 PM EDT: adn lets clearly explain it
  2315. Aznx 5/18/06 7:33:11 PM EDT: bwang you do it. =P
  2316. Quicksilver 5/18/06 7:33:13 PM EDT: the comments said we need details
  2317. bwang8 5/18/06 7:33:14 PM EDT: we only calculated the number of squares
  2318. Aznx 5/18/06 7:33:23 PM EDT: and the big square
  2319. Quicksilver 5/18/06 7:33:30 PM EDT: and subtracte
  2320. Aznx 5/18/06 7:33:30 PM EDT: we didn't claculate the number of sticks
  2321. Aznx 5/18/06 7:33:34 PM EDT: wanna do it?
  2322. bwang8 5/18/06 7:33:36 PM EDT: yes
  2323. Quicksilver 5/18/06 7:33:37 PM EDT: oh whoops
  2324. bwang8 5/18/06 7:33:38 PM EDT: sure
  2325. Quicksilver 5/18/06 7:33:40 PM EDT: yea definitely
  2326. bwang8 5/18/06 7:33:52 PM EDT:
  2327. bwang8 5/18/06 7:33:57 PM EDT:
  2328. Aznx 5/18/06 7:34:00 PM EDT: So for which one are we trying to find the number of sticks?
  2329. bwang8 5/18/06 7:34:02 PM EDT:
  2330. bwang8 5/18/06 7:34:05 PM EDT:
  2331. Aznx 5/18/06 7:34:06 PM EDT: Only the disamond format?
  2332. Aznx 5/18/06 7:34:13 PM EDT: Right?
  2333. Quicksilver 5/18/06 7:34:19 PM EDT: ye
  2334. bwang8 5/18/06 7:34:20 PM EDT: yes
  2335. Aznx 5/18/06 7:34:45 PM EDT: So the one that we're looking at right now.
  2336. Aznx 5/18/06 7:34:51 PM EDT: This one.
  2337. Aznx 5/18/06 7:34:55 PM EDT: It's step 3 right?
  2338. bwang8 5/18/06 7:34:59 PM EDT: yes
  2339. Quicksilver 5/18/06 7:35:06 PM EDT: i think so
  2340. Aznx 5/18/06 7:35:24 PM EDT: Let's look for a pattern.
  2341. Quicksilver 5/18/06 7:35:27 PM EDT: how do u add text?
  2342. Aznx 5/18/06 7:35:35 PM EDT: Wait!
  2343. Quicksilver 5/18/06 7:35:42 PM EDT:
  2344. Aznx 5/18/06 7:35:44 PM EDT: Wouldn't most of them share sticks?
  2345. Quicksilver 5/18/06 7:35:46 PM EDT:
  2346. Quicksilver 5/18/06 7:35:53 PM EDT: yes
  2347. Quicksilver 5/18/06 7:35:59 PM EDT: they pretty much all do
  2348. bwang8 5/18/06 7:36:06 PM EDT: yes
  2349. Aznx 5/18/06 7:36:06 PM EDT: Argh, that makes the problem harder -_-
  2350. Quicksilver 5/18/06 7:36:10 PM EDT: the corners have two all for themselves
  2351. bwang8 5/18/06 7:36:13 PM EDT: it is very hard
  2352. Quicksilver 5/18/06 7:36:21 PM EDT: the sides have one for themselves
  2353. Aznx 5/18/06 7:36:45 PM EDT: wait a min
  2354. Aznx 5/18/06 7:36:48 PM EDT: This is my plan
  2355. bwang8 5/18/06 7:36:49 PM EDT: maybe we should use the big square to calculate the # of sticks
  2356. bwang8 5/18/06 7:36:54 PM EDT: ok
  2357. Aznx 5/18/06 7:36:55 PM EDT: Do this problem for around 2 minutes
  2358. bwang8 5/18/06 7:36:57 PM EDT: what's your plan
  2359. Aznx 5/18/06 7:37:00 PM EDT: on a scratch piece of paper
  2360. Quicksilver 5/18/06 7:37:00 PM EDT: Each inner square has 2 sticks they shar e with another
  2361. Aznx 5/18/06 7:37:04 PM EDT: then share it with each other
  2362. Aznx 5/18/06 7:37:05 PM EDT: ok?
  2363. Quicksilver 5/18/06 7:37:28 PM EDT: ok
  2364. bwang8 5/18/06 7:37:33 PM EDT: ok
  2365. Quicksilver 5/18/06 7:37:48 PM EDT:
  2366. Quicksilver 5/18/06 7:39:00 PM EDT: I'm thinking that we don't have a large square that surrounds it
  2367. bwang8 5/18/06 7:39:15 PM EDT: yeah
  2368. Quicksilver 5/18/06 7:39:21 PM EDT: I'm thinking we have the inner square such as these nine
  2369. bwang8 5/18/06 7:39:22 PM EDT: we shouldn't use the big square
  2370. bwang8 5/18/06 7:39:27 PM EDT: i think
  2371. Quicksilver 5/18/06 7:39:35 PM EDT: then we add the outer four ones that have three sticks each
  2372. Quicksilver 5/18/06 7:39:56 PM EDT: Then you just need the sticks for the square in the middle
  2373. Aznx 5/18/06 7:40:40 PM EDT: lol
  2374. Aznx 5/18/06 7:40:45 PM EDT: I figured it out.
  2375. Aznx 5/18/06 7:40:49 PM EDT: on a much smaller scale
  2376. Aznx 5/18/06 7:40:53 PM EDT: and it's much easier to understand
  2377. Quicksilver 5/18/06 7:40:56 PM EDT: great tell us how
  2378. bwang8 5/18/06 7:41:01 PM EDT: tell us
  2379. Aznx 5/18/06 7:41:01 PM EDT: n(4n-1)
  2380. bwang8 5/18/06 7:41:06 PM EDT: what is that
  2381. Aznx 5/18/06 7:41:07 PM EDT: but i'm still not sure
  2382. Aznx 5/18/06 7:41:10 PM EDT: how to explain it
  2383. Aznx 5/18/06 7:41:13 PM EDT: it works though
  2384. bwang8 5/18/06 7:41:20 PM EDT: let's see
  2385. Aznx 5/18/06 7:41:20 PM EDT: I still need to double check it
  2386. Quicksilver 5/18/06 7:41:22 PM EDT: that doesnt work...
  2387. Aznx 5/18/06 7:41:23 PM EDT: with their formula
  2388. Quicksilver 5/18/06 7:41:30 PM EDT: no but say n is one
  2389. Aznx 5/18/06 7:41:39 PM EDT: yeah it's the same
  2390. Quicksilver 5/18/06 7:41:43 PM EDT: that is equal to three
  2391. Aznx 5/18/06 7:41:44 PM EDT: strabnge enough
  2392. Quicksilver 5/18/06 7:41:45 PM EDT: right?
  2393. Aznx 5/18/06 7:41:52 PM EDT: yeah
  2394. Aznx 5/18/06 7:41:56 PM EDT: hm
  2395. Quicksilver 5/18/06 7:41:58 PM EDT: so it doesnt work
  2396. Aznx 5/18/06 7:42:02 PM EDT: mine doesn't work
  2397. bwang8 5/18/06 7:42:16 PM EDT: I got a lead!!!!!!!111
  2398. bwang8 5/18/06 7:42:18 PM EDT: ok
  2399. Aznx 5/18/06 7:42:19 PM EDT: Wait a second.
  2400. Quicksilver 5/18/06 7:42:19 PM EDT: this was theirs righT?
  2401. Aznx 5/18/06 7:42:25 PM EDT: No
  2402. Aznx 5/18/06 7:42:28 PM EDT: it's the top oone
  2403. bwang8 5/18/06 7:42:29 PM EDT:
  2404. Quicksilver 5/18/06 7:42:32 PM EDT: lead?
  2405. Quicksilver 5/18/06 7:42:40 PM EDT: oh whoops circled wrong one
  2406. bwang8 5/18/06 7:42:46 PM EDT:
  2407. bwang8 5/18/06 7:43:08 PM EDT: ok i think we need to divide the thing in half
  2408. Aznx 5/18/06 7:43:16 PM EDT: Omg, I just solved their formula...and it turns out to be n(4n-1)!
  2409. Quicksilver 5/18/06 7:43:17 PM EDT: so its symmetric?
  2410. Aznx 5/18/06 7:43:22 PM EDT: what in the world?
  2411. Aznx 5/18/06 7:43:26 PM EDT: am i going crazy?
  2412. bwang8 5/18/06 7:43:26 PM EDT: don't consider the 4 cornors
  2413. Aznx 5/18/06 7:43:29 PM EDT: someone check my work.
  2414. Aznx 5/18/06 7:43:36 PM EDT: simplify their formula
  2415. Quicksilver 5/18/06 7:43:51 PM EDT: k
  2416. bwang8 5/18/06 7:43:55 PM EDT: what do you mean
  2417. Aznx 5/18/06 7:44:30 PM EDT: 2(n^2+n^2-2n+1)+3n-2
  2418. bwang8 5/18/06 7:44:34 PM EDT: i don't see how you can simplify it
  2419. Aznx 5/18/06 7:44:35 PM EDT: simply the formula
  2420. Aznx 5/18/06 7:44:40 PM EDT: for the number of sticks
  2421. Aznx 5/18/06 7:44:45 PM EDT: so that simplifies to...
  2422. Aznx 5/18/06 7:45:45 PM EDT: I stil get the same.
  2423. bwang8 5/18/06 7:46:20 PM EDT: how did you simplify it
  2424. Aznx 5/18/06 7:46:27 PM EDT: um
  2425. Aznx 5/18/06 7:46:32 PM EDT: square the n-1
  2426. Aznx 5/18/06 7:46:39 PM EDT: then multiply the whole thing by 2
  2427. Aznx 5/18/06 7:46:47 PM EDT: then multiply the 3 and n
  2428. Aznx 5/18/06 7:46:51 PM EDT: and add it with that
  2429. Aznx 5/18/06 7:46:57 PM EDT: and subtract by 2
  2430. bwang8 5/18/06 7:47:14 PM EDT: quicksliver
  2431. Quicksilver 5/18/06 7:47:19 PM EDT: im lost
  2432. bwang8 5/18/06 7:47:23 PM EDT: did you get the same answer
  2433. Quicksilver 5/18/06 7:47:30 PM EDT: no
  2434. Aznx 5/18/06 7:47:39 PM EDT: i'll do it on the board
  2435. Quicksilver 5/18/06 7:47:44 PM EDT: yeah
  2436. Aznx 5/18/06 7:47:48 PM EDT:
  2437. Aznx 5/18/06 7:47:51 PM EDT:
  2438. Aznx 5/18/06 7:47:52 PM EDT:
  2439. Quicksilver 5/18/06 7:47:53 PM EDT: i got something totally difrent
  2440. Aznx 5/18/06 7:47:53 PM EDT:
  2441. Aznx 5/18/06 7:47:54 PM EDT:
  2442. Aznx 5/18/06 7:47:55 PM EDT:
  2443. Aznx 5/18/06 7:47:57 PM EDT:
  2444. Aznx 5/18/06 7:47:58 PM EDT:
  2445. Aznx 5/18/06 7:48:00 PM EDT:
  2446. Aznx 5/18/06 7:48:01 PM EDT:
  2447. Aznx 5/18/06 7:48:03 PM EDT:
  2448. Aznx 5/18/06 7:48:06 PM EDT:
  2449. Aznx 5/18/06 7:48:07 PM EDT:
  2450. Aznx 5/18/06 7:48:11 PM EDT:
  2451. Aznx 5/18/06 7:48:12 PM EDT:
  2452. Aznx 5/18/06 7:48:14 PM EDT:
  2453. Aznx 5/18/06 7:48:17 PM EDT:
  2454. Aznx 5/18/06 7:48:18 PM EDT:
  2455. Aznx 5/18/06 7:48:20 PM EDT:
  2456. Aznx 5/18/06 7:48:21 PM EDT:
  2457. Aznx 5/18/06 7:48:22 PM EDT:
  2458. Aznx 5/18/06 7:48:26 PM EDT:
  2459. Aznx 5/18/06 7:48:28 PM EDT:
  2460. Aznx 5/18/06 7:48:30 PM EDT:
  2461. Aznx 5/18/06 7:48:31 PM EDT:
  2462. Aznx 5/18/06 7:48:33 PM EDT:
  2463. Aznx 5/18/06 7:48:35 PM EDT:
  2464. bwang8 5/18/06 7:48:36 PM EDT: so far i got $4*n^2+3*n$
  2465. Aznx 5/18/06 7:48:37 PM EDT:
  2466. Aznx 5/18/06 7:48:39 PM EDT:
  2467. Aznx 5/18/06 7:48:40 PM EDT:
  2468. Aznx 5/18/06 7:48:43 PM EDT:
  2469. Aznx 5/18/06 7:48:45 PM EDT:
  2470. Aznx 5/18/06 7:48:46 PM EDT:
  2471. Aznx 5/18/06 7:48:48 PM EDT:
  2472. Aznx 5/18/06 7:48:50 PM EDT:
  2473. Aznx 5/18/06 7:48:52 PM EDT:
  2474. Aznx 5/18/06 7:48:53 PM EDT:
  2475. Aznx 5/18/06 7:48:55 PM EDT:
  2476. Quicksilver 5/18/06 7:48:55 PM EDT: indranil rite in the box
  2477. Aznx 5/18/06 7:48:56 PM EDT:
  2478. Aznx 5/18/06 7:48:57 PM EDT:
  2479. Aznx 5/18/06 7:48:58 PM EDT:
  2480. Aznx 5/18/06 7:48:59 PM EDT:
  2481. Aznx 5/18/06 7:49:03 PM EDT:
  2482. Aznx 5/18/06 7:49:04 PM EDT:
  2483. Aznx 5/18/06 7:49:05 PM EDT:
  2484. Aznx 5/18/06 7:49:07 PM EDT:
  2485. Aznx 5/18/06 7:49:07 PM EDT:
  2486. Aznx 5/18/06 7:49:09 PM EDT:
  2487. Aznx 5/18/06 7:49:11 PM EDT:
  2488. Aznx 5/18/06 7:49:11 PM EDT:
  2489. Aznx 5/18/06 7:49:16 PM EDT:
  2490. bwang8 5/18/06 7:49:17 PM EDT: i mean 4n^2-n
  2491. Aznx 5/18/06 7:49:17 PM EDT:
  2492. Aznx 5/18/06 7:49:19 PM EDT:
  2493. Aznx 5/18/06 7:49:21 PM EDT:
  2494. Aznx 5/18/06 7:49:22 PM EDT:
  2495. Aznx 5/18/06 7:49:23 PM EDT:
  2496. Aznx 5/18/06 7:49:26 PM EDT: EXactly
  2497. Aznx 5/18/06 7:49:27 PM EDT:
  2498. Aznx 5/18/06 7:49:28 PM EDT:
  2499. Aznx 5/18/06 7:49:34 PM EDT:
  2500. Aznx 5/18/06 7:49:36 PM EDT:
  2501. Aznx 5/18/06 7:49:38 PM EDT:
  2502. Quicksilver 5/18/06 7:49:40 PM EDT: yea that waht azn x got eralier
  2503. Aznx 5/18/06 7:49:41 PM EDT:
  2504. Aznx 5/18/06 7:49:42 PM EDT:
  2505. Aznx 5/18/06 7:49:45 PM EDT:
  2506. Aznx 5/18/06 7:49:45 PM EDT:
  2507. Aznx 5/18/06 7:49:47 PM EDT:
  2508. Aznx 5/18/06 7:49:49 PM EDT:
  2509. Aznx 5/18/06 7:49:55 PM EDT:
  2510. Aznx 5/18/06 7:49:58 PM EDT:
  2511. Aznx 5/18/06 7:50:00 PM EDT:
  2512. bwang8 5/18/06 7:50:00 PM EDT: holy
  2513. Aznx 5/18/06 7:50:01 PM EDT:
  2514. Aznx 5/18/06 7:50:01 PM EDT:
  2515. Aznx 5/18/06 7:50:03 PM EDT:
  2516. bwang8 5/18/06 7:50:03 PM EDT: moley
  2517. Aznx 5/18/06 7:50:04 PM EDT:
  2518. Aznx 5/18/06 7:50:05 PM EDT:
  2519. Quicksilver 5/18/06 7:50:05 PM EDT: whyd u multiply by the two
  2520. Aznx 5/18/06 7:50:06 PM EDT:
  2521. bwang8 5/18/06 7:50:13 PM EDT: i think their equation was wrong
  2522. Aznx 5/18/06 7:50:15 PM EDT: It's in the equation
  2523. Quicksilver 5/18/06 7:50:19 PM EDT: oh
  2524. Aznx 5/18/06 7:50:20 PM EDT: Whoa dang
  2525. Quicksilver 5/18/06 7:50:25 PM EDT: i missed that then
  2526. Aznx 5/18/06 7:50:25 PM EDT: their equation is wrong!
  2527. Aznx 5/18/06 7:50:27 PM EDT: lol
  2528. Quicksilver 5/18/06 7:50:28 PM EDT: thats why i was off
  2529. Aznx 5/18/06 7:50:36 PM EDT: and concidentally, that's what i got
  2530. bwang8 5/18/06 7:50:37 PM EDT: because the simplified one wouln't solve the problem
  2531. Aznx 5/18/06 7:50:41 PM EDT: i was thinking about the sides
  2532. bwang8 5/18/06 7:50:48 PM EDT: why don't we use it on some other level
  2533. Aznx 5/18/06 7:50:52 PM EDT: and thought there had to be 4n somehwere in the scenario
  2534. bwang8 5/18/06 7:50:56 PM EDT: see if it works
  2535. Quicksilver 5/18/06 7:50:57 PM EDT: lol
  2536. Aznx 5/18/06 7:51:00 PM EDT: it doesnt
  2537. Quicksilver 5/18/06 7:51:01 PM EDT: never assume
  2538. Aznx 5/18/06 7:51:05 PM EDT: it doesnt work
  2539. Quicksilver 5/18/06 7:51:12 PM EDT: it didn't work for one
  2540. Aznx 5/18/06 7:51:13 PM EDT: quicksilver tried it with 1
  2541. bwang8 5/18/06 7:51:17 PM EDT: 2
  2542. Quicksilver 5/18/06 7:51:23 PM EDT: no
  2543. Aznx 5/18/06 7:51:36 PM EDT: nope
  2544. bwang8 5/18/06 7:51:51 PM EDT: nope they got 3 wrong too
  2545. Aznx 5/18/06 7:51:59 PM EDT: Greg?
  2546. bwang8 5/18/06 7:52:00 PM EDT: there are 36 sticks
  2547. Quicksilver 5/18/06 7:52:04 PM EDT: greg?
  2548. Aznx 5/18/06 7:52:05 PM EDT: I mean, Gerry? =P
  2549. Quicksilver 5/18/06 7:52:10 PM EDT: lol
  2550. bwang8 5/18/06 7:52:11 PM EDT: but they only can get 33
  2551. bwang8 5/18/06 7:52:21 PM EDT: ok
  2552. Aznx 5/18/06 7:52:29 PM EDT: Gerry?
  2553. bwang8 5/18/06 7:52:30 PM EDT: let's find out the real solution
  2554. Quicksilver 5/18/06 7:52:34 PM EDT: yeah
  2555. Gerry 5/18/06 7:52:40 PM EDT: What?
  2556. Aznx 5/18/06 7:52:48 PM EDT: Their thing doesn't work.
  2557. Aznx 5/18/06 7:52:56 PM EDT: We tried it.
  2558. Gerry 5/18/06 7:53:18 PM EDT: I know you tried it. I saw.
  2559. Quicksilver 5/18/06 7:53:24 PM EDT: lol
  2560. Quicksilver 5/18/06 7:53:32 PM EDT: anyway
  2561. Gerry 5/18/06 7:53:32 PM EDT: It does not even work for one square
  2562. Aznx 5/18/06 7:53:33 PM EDT: So what do you think?
  2563. Quicksilver 5/18/06 7:53:40 PM EDT: lets find the real answer
  2564. Aznx 5/18/06 7:53:43 PM EDT: So their solution was wrong right?
  2565. Aznx 5/18/06 7:53:49 PM EDT: Yeah, let's find it out.
  2566. Aznx 5/18/06 7:53:57 PM EDT: But I want to make sure thgat it was wrong.
  2567. Gerry 5/18/06 7:53:59 PM EDT: looks that way, doesn't it?
  2568. Aznx 5/18/06 7:54:07 PM EDT: Yeah it does.
  2569. Quicksilver 5/18/06 7:54:07 PM EDT: we basically proved it
  2570. Quicksilver 5/18/06 7:54:19 PM EDT: we must put that on the wiki
  2571. bwang8 5/18/06 7:54:23 PM EDT:
  2572. Gerry 5/18/06 7:54:25 PM EDT: How about their solution for the # of blocks?
  2573. bwang8 5/18/06 7:54:26 PM EDT:
  2574. bwang8 5/18/06 7:54:30 PM EDT:
  2575. bwang8 5/18/06 7:54:31 PM EDT:
  2576. bwang8 5/18/06 7:54:36 PM EDT:
  2577. bwang8 5/18/06 7:54:37 PM EDT:
  2578. bwang8 5/18/06 7:54:39 PM EDT:
  2579. bwang8 5/18/06 7:54:40 PM EDT:
  2580. bwang8 5/18/06 7:54:41 PM EDT:
  2581. bwang8 5/18/06 7:54:42 PM EDT:
  2582. bwang8 5/18/06 7:54:44 PM EDT:
  2583. bwang8 5/18/06 7:54:45 PM EDT:
  2584. bwang8 5/18/06 7:54:47 PM EDT:
  2585. bwang8 5/18/06 7:54:48 PM EDT:
  2586. bwang8 5/18/06 7:54:49 PM EDT:
  2587. bwang8 5/18/06 7:54:51 PM EDT:
  2588. bwang8 5/18/06 7:54:52 PM EDT:
  2589. bwang8 5/18/06 7:54:53 PM EDT:
  2590. bwang8 5/18/06 7:54:59 PM EDT:
  2591. bwang8 5/18/06 7:55:00 PM EDT:
  2592. Aznx 5/18/06 7:55:07 PM EDT:
  2593. Aznx 5/18/06 7:55:07 PM EDT:
  2594. Aznx 5/18/06 7:55:08 PM EDT:
  2595. Aznx 5/18/06 7:55:08 PM EDT:
  2596. Aznx 5/18/06 7:55:09 PM EDT:
  2597. Aznx 5/18/06 7:55:10 PM EDT:
  2598. Aznx 5/18/06 7:55:11 PM EDT:
  2599. Aznx 5/18/06 7:55:12 PM EDT:
  2600. Aznx 5/18/06 7:55:13 PM EDT:
  2601. Aznx 5/18/06 7:55:16 PM EDT:
  2602. bwang8 5/18/06 7:55:17 PM EDT: look at this thing i drew
  2603. Gerry 5/18/06 7:55:17 PM EDT: Did you get a different formula than theirs?
  2604. Aznx 5/18/06 7:55:17 PM EDT:
  2605. Aznx 5/18/06 7:55:21 PM EDT:
  2606. Aznx 5/18/06 7:55:22 PM EDT:
  2607. bwang8 5/18/06 7:55:23 PM EDT: it is the second level
  2608. Aznx 5/18/06 7:55:23 PM EDT:
  2609. Aznx 5/18/06 7:55:24 PM EDT:
  2610. Aznx 5/18/06 7:55:26 PM EDT:
  2611. Aznx 5/18/06 7:55:27 PM EDT:
  2612. Aznx 5/18/06 7:55:28 PM EDT:
  2613. bwang8 5/18/06 7:55:36 PM EDT: divide it in half
  2614. Aznx 5/18/06 7:55:37 PM EDT:
  2615. Aznx 5/18/06 7:55:38 PM EDT:
  2616. Aznx 5/18/06 7:55:42 PM EDT:
  2617. Aznx 5/18/06 7:55:44 PM EDT:
  2618. Aznx 5/18/06 7:55:45 PM EDT:
  2619. Aznx 5/18/06 7:55:46 PM EDT:
  2620. Aznx 5/18/06 7:55:49 PM EDT:
  2621. bwang8 5/18/06 7:55:49 PM EDT: you will get the 1 3 3 1 sequence
  2622. Aznx 5/18/06 7:55:52 PM EDT:
  2623. Aznx 5/18/06 7:55:53 PM EDT:
  2624. Aznx 5/18/06 7:55:54 PM EDT:
  2625. Quicksilver 5/18/06 7:55:54 PM EDT: well not really
  2626. Aznx 5/18/06 7:55:54 PM EDT:
  2627. Aznx 5/18/06 7:55:56 PM EDT:
  2628. Aznx 5/18/06 7:55:57 PM EDT:
  2629. Aznx 5/18/06 7:55:59 PM EDT:
  2630. Aznx 5/18/06 7:55:59 PM EDT:
  2631. Quicksilver 5/18/06 7:56:00 PM EDT: we devised our own process
  2632. Aznx 5/18/06 7:56:00 PM EDT:
  2633. Aznx 5/18/06 7:56:03 PM EDT:
  2634. Aznx 5/18/06 7:56:04 PM EDT:
  2635. Aznx 5/18/06 7:56:05 PM EDT:
  2636. Aznx 5/18/06 7:56:06 PM EDT:
  2637. Aznx 5/18/06 7:56:07 PM EDT:
  2638. bwang8 5/18/06 7:56:08 PM EDT: when you have 3rd level
  2639. Aznx 5/18/06 7:56:08 PM EDT:
  2640. Aznx 5/18/06 7:56:09 PM EDT:
  2641. Aznx 5/18/06 7:56:11 PM EDT:
  2642. Aznx 5/18/06 7:56:12 PM EDT:
  2643. Aznx 5/18/06 7:56:13 PM EDT:
  2644. Aznx 5/18/06 7:56:13 PM EDT:
  2645. Aznx 5/18/06 7:56:16 PM EDT:
  2646. Aznx 5/18/06 7:56:17 PM EDT:
  2647. Aznx 5/18/06 7:56:19 PM EDT:
  2648. bwang8 5/18/06 7:56:20 PM EDT: you get 1 3 5 5 3 1 sequence
  2649. Aznx 5/18/06 7:56:22 PM EDT:
  2650. Aznx 5/18/06 7:56:26 PM EDT:
  2651. Aznx 5/18/06 7:56:27 PM EDT:
  2652. Aznx 5/18/06 7:56:29 PM EDT:
  2653. Aznx 5/18/06 7:56:30 PM EDT:
  2654. bwang8 5/18/06 7:56:34 PM EDT: 4th 1 3 5 7 7 5 3 1 sequence
  2655. Quicksilver 5/18/06 7:56:38 PM EDT: pascalls triangle numbers?
  2656. bwang8 5/18/06 7:56:39 PM EDT: seeing a pattern here
  2657. bwang8 5/18/06 7:56:45 PM EDT: i don't know
  2658. bwang8 5/18/06 7:57:00 PM EDT: but there is a equation to summarize it
  2659. Quicksilver 5/18/06 7:57:01 PM EDT: hey aznx what are the pascals triangles first few rows?
  2660. Quicksilver 5/18/06 7:57:04 PM EDT: I don't think it is these
  2661. Aznx 5/18/06 7:57:17 PM EDT: huh?
  2662. bwang8 5/18/06 7:57:17 PM EDT: well i have to go
  2663. Aznx 5/18/06 7:57:24 PM EDT:
  2664. Quicksilver 5/18/06 7:57:25 PM EDT: oh
  2665. Aznx 5/18/06 7:57:27 PM EDT:
  2666. Quicksilver 5/18/06 7:57:27 PM EDT: wel...
  2667. Aznx 5/18/06 7:57:28 PM EDT:
  2668. Aznx 5/18/06 7:57:29 PM EDT:
  2669. Aznx 5/18/06 7:57:31 PM EDT:
  2670. Aznx 5/18/06 7:57:31 PM EDT:
  2671. bwang8 5/18/06 7:57:32 PM EDT: the library that i am working at is closing
  2672. Aznx 5/18/06 7:57:32 PM EDT:
  2673. Aznx 5/18/06 7:57:33 PM EDT:
  2674. Aznx 5/18/06 7:57:34 PM EDT:
  2675. Quicksilver 5/18/06 7:57:34 PM EDT: too bad this was the last time
  2676. Aznx 5/18/06 7:57:36 PM EDT:
  2677. Aznx 5/18/06 7:57:37 PM EDT:
  2678. Aznx 5/18/06 7:57:38 PM EDT:
  2679. Quicksilver 5/18/06 7:57:38 PM EDT: oh
  2680. Aznx 5/18/06 7:57:39 PM EDT:
  2681. Aznx 5/18/06 7:57:40 PM EDT:
  2682. Aznx 5/18/06 7:57:41 PM EDT:
  2683. Aznx 5/18/06 7:57:42 PM EDT:
  2684. bwang8 5/18/06 7:57:43 PM EDT: i can come back later
  2685. Aznx 5/18/06 7:57:43 PM EDT:
  2686. Aznx 5/18/06 7:57:44 PM EDT:
  2687. Aznx 5/18/06 7:57:44 PM EDT:
  2688. Aznx 5/18/06 7:57:47 PM EDT:
  2689. Aznx 5/18/06 7:57:47 PM EDT:
  2690. Aznx 5/18/06 7:57:48 PM EDT:
  2691. Aznx 5/18/06 7:57:50 PM EDT:
  2692. Aznx 5/18/06 7:57:51 PM EDT:
  2693. bwang8 5/18/06 7:57:52 PM EDT: bye
  2694. Aznx 5/18/06 7:57:52 PM EDT:
  2695. Aznx 5/18/06 7:57:53 PM EDT:
  2696. Quicksilver 5/18/06 7:57:54 PM EDT: but htis is the last session right?
  2697. Aznx 5/18/06 7:57:55 PM EDT:
  2698. Quicksilver 5/18/06 7:57:55 PM EDT: bye
  2699. Aznx 5/18/06 7:57:56 PM EDT:
  2700. Aznx 5/18/06 7:57:57 PM EDT:
  2701. bwang8 5/18/06 7:57:58 PM EDT: leaves the room
  2702. Aznx 5/18/06 7:58:02 PM EDT: Ok.
  2703. Aznx 5/18/06 7:58:07 PM EDT: So what were you saying?
  2704. Quicksilver 5/18/06 7:58:19 PM EDT: it might have been pascals triangle numbers
  2705. Aznx 5/18/06 7:58:29 PM EDT: Which ones?
  2706. Quicksilver 5/18/06 7:58:48 PM EDT: these and the ones above
  2707. Aznx 5/18/06 7:58:58 PM EDT: The triangular numbers?
  2708. Quicksilver 5/18/06 7:59:20 PM EDT: look above
  2709. Aznx 5/18/06 7:59:22 PM EDT: Oh.
  2710. Quicksilver 5/18/06 7:59:26 PM EDT: bwang gave a list of numbers
  2711. Aznx 5/18/06 7:59:36 PM EDT: They do.
  2712. Aznx 5/18/06 7:59:48 PM EDT: They are, I should say.
  2713. Quicksilver 5/18/06 8:00:25 PM EDT: does that help us ?
  2714. Aznx 5/18/06 8:00:43 PM EDT: I dunno,
  2715. Aznx 5/18/06 8:00:53 PM EDT: We might be able to come up with a fromula from that
  2716. Aznx 5/18/06 8:00:59 PM EDT: it is a sequence of a sort
  2717. Quicksilver 5/18/06 8:01:21 PM EDT: but it is neither arithmetic notr geometric
  2718. Aznx 5/18/06 8:01:28 PM EDT: yeah
  2719. Aznx 5/18/06 8:01:42 PM EDT: I think we should research on it.
  2720. Aznx 5/18/06 8:02:05 PM EDT: And I'm not writing today's wiki. =P
  2721. Quicksilver 5/18/06 8:02:07 PM EDT: we have like ten minutes
  2722. Aznx 5/18/06 8:02:15 PM EDT: So when are we meeting again?
  2723. Quicksilver 5/18/06 8:02:32 PM EDT: Hey gerry....didn't you say it could be arranged for us to meet again
  2724. Gerry 5/18/06 8:02:58 PM EDT: Would you like to continue working with your team after tonight?
  2725. Quicksilver 5/18/06 8:03:05 PM EDT: yes
  2726. Aznx 5/18/06 8:03:10 PM EDT: Yeah, definetely.
  2727. Quicksilver 5/18/06 8:03:11 PM EDT: this is rather interesting
  2728. Quicksilver 5/18/06 8:03:23 PM EDT: we keep finding problems that we don't have time to finish in one meeting
  2729. Aznx 5/18/06 8:03:29 PM EDT: It'd be fun to research on pascal's triangles anyways.
  2730. Gerry 5/18/06 8:03:39 PM EDT: What did you notice during these session that seems most interesting to you as far as doing math in a group? Which moments were the most fun?
  2731. Aznx 5/18/06 8:03:39 PM EDT: And we'll actually solve this problewm very throroughly.
  2732. Quicksilver 5/18/06 8:04:12 PM EDT: lets see...Well the times that were most interesting were when someone brought up and entirely new perspective on a problem
  2733. Aznx 5/18/06 8:04:28 PM EDT: WE bring up interesting points in a problem.
  2734. Quicksilver 5/18/06 8:04:29 PM EDT: we were able to learn more from those times
  2735. Aznx 5/18/06 8:04:31 PM EDT: and go fro them
  2736. Aznx 5/18/06 8:04:43 PM EDT: from there, we like derive a million sorts of ideas
  2737. Quicksilver 5/18/06 8:04:43 PM EDT: everyone got to share their own views and explain it to the others
  2738. Aznx 5/18/06 8:04:47 PM EDT: yeah
  2739. Aznx 5/18/06 8:04:51 PM EDT: and through that
  2740. Aznx 5/18/06 8:04:55 PM EDT: we all learned from each other
  2741. Quicksilver 5/18/06 8:05:00 PM EDT: And not only were these times interestin, they were flun
  2742. Aznx 5/18/06 8:05:04 PM EDT: on how to approach different even a single problem
  2743. Quicksilver 5/18/06 8:05:09 PM EDT: we got to listen to each other and their thoughts
  2744. Quicksilver 5/18/06 8:05:18 PM EDT: sometimes we argued, but we learned somehting every meeting
  2745. Aznx 5/18/06 8:05:31 PM EDT: Plus, when one didn't understand, we always made sure that person did.
  2746. Quicksilver 5/18/06 8:05:40 PM EDT: as far as doing collaborative math, this is about hte first time
  2747. Gerry 5/18/06 8:05:46 PM EDT: Well, thank you very much for participating in the VMT Spring Fest. As we said at the beginning, we offered these sessions to give students the chance to do interesting math in teams via the Internet. A number of groups have participated and engaged actively in discussing everyone's ideas, formulating interesting math questions and exploring them.
  2748. Quicksilver 5/18/06 8:06:11 PM EDT: So it's over then isn't it?
  2749. Quicksilver 5/18/06 8:06:24 PM EDT: No more meetings =(
  2750. Gerry 5/18/06 8:06:29 PM EDT: No.
  2751. Quicksilver 5/18/06 8:06:46 PM EDT: Oh well, maybe we can start a club like this at school
  2752. Gerry 5/18/06 8:06:47 PM EDT: We will give you feedback and you can always come back.
  2753. Gerry 5/18/06 8:07:01 PM EDT: You can come back to this room
  2754. Quicksilver 5/18/06 8:07:06 PM EDT: Ok t hanks
  2755. Aznx 5/18/06 8:07:11 PM EDT: When can we see the feedback?
  2756. Aznx 5/18/06 8:07:16 PM EDT: Tomorrow?
  2757. Gerry 5/18/06 8:07:20 PM EDT: Or you can come to the lobby and explore a different room
  2758. Quicksilver 5/18/06 8:07:34 PM EDT: Will u hold this again next year?
  2759. Gerry 5/18/06 8:07:49 PM EDT: You can even create your own rooms in the lobby and invite friends there
  2760. Quicksilver 5/18/06 8:07:58 PM EDT: olk
  2761. Gerry 5/18/06 8:08:10 PM EDT: We will be doing new topics a lot next year
  2762. Quicksilver 5/18/06 8:08:17 PM EDT: ok
  2763. Quicksilver 5/18/06 8:08:18 PM EDT:
  2764. Aznx 5/18/06 8:08:32 PM EDT: So we can see the feedback tomorrow?
  2765. Gerry 5/18/06 8:08:40 PM EDT: We are going to review all of these sessions and select the most collaborative "Virtual Math Teams." We will be in touch with your teachers to inform you of the results.
  2766. Quicksilver 5/18/06 8:08:52 PM EDT: That sounds good
  2767. Quicksilver 5/18/06 8:09:01 PM EDT: WEll, it's goodbye then
  2768. Quicksilver 5/18/06 8:09:21 PM EDT: I
  2769. Gerry 5/18/06 8:09:23 PM EDT: I can give you some feedback now because I have been thinking a lot about these patterns while I listen to you
  2770. Quicksilver 5/18/06 8:09:30 PM EDT: ok
  2771. Quicksilver 5/18/06 8:09:37 PM EDT: i have time
  2772. Aznx 5/18/06 8:09:45 PM EDT: me too
  2773. Gerry 5/18/06 8:10:41 PM EDT: 1. Look at your formula for the # of squares and the formula from the other team. Are they equivalent? If not, is one wrong?
  2774. bwang8 5/18/06 8:11:20 PM EDT: joins the room
  2775. Quicksilver 5/18/06 8:11:30 PM EDT: hey!
  2776. bwang8 5/18/06 8:11:30 PM EDT: i am finally here
  2777. Quicksilver 5/18/06 8:11:35 PM EDT: we're getting some feedback
  2778. Gerry 5/18/06 8:11:38 PM EDT: 2. Work more on the # of sticks. Try recursion. The other team's formula is wrong, but the right one is even nicer
  2779. Aznx 5/18/06 8:11:51 PM EDT: For 1, they are equivalent.
  2780. Aznx 5/18/06 8:11:58 PM EDT: and ours was simplified as well.
  2781. bwang8 5/18/06 8:12:01 PM EDT: i ran to my mom's office and am now using her computer
  2782. Quicksilver 5/18/06 8:12:30 PM EDT: yea, ours should just be a simplified version of theirs
  2783. bwang8 5/18/06 8:12:31 PM EDT:
  2784. bwang8 5/18/06 8:12:36 PM EDT: ok
  2785. Aznx 5/18/06 8:12:48 PM EDT: For 2, I am going to research on the pascal's triangle and recursion more.
  2786. bwang8 5/18/06 8:12:56 PM EDT: did you guys came up with the new formula
  2787. Quicksilver 5/18/06 8:13:01 PM EDT: no
  2788. Aznx 5/18/06 8:13:03 PM EDT: no we didn't
  2789. Aznx 5/18/06 8:13:10 PM EDT: we were discussing on the future of this class
  2790. Aznx 5/18/06 8:13:12 PM EDT: /event
  2791. Gerry 5/18/06 8:13:21 PM EDT: I will make a room for you now with a completely different problem. It is one I like a lot and I think you will too.
  2792. bwang8 5/18/06 8:13:35 PM EDT: ok
  2793. Aznx 5/18/06 8:13:37 PM EDT: ok
  2794. Gerry 5/18/06 8:13:42 PM EDT: You can go to this room anytime. You do not need me there any more
  2795. Quicksilver 5/18/06 8:13:43 PM EDT: sure
  2796. Gerry 5/18/06 8:14:32 PM EDT: You can send email to me and also to the people who have been in your room by using the send mail button at the top
  2797. bwang8 5/18/06 8:14:44 PM EDT: ok
  2798. Aznx 5/18/06 8:14:52 PM EDT: k
  2799. Quicksilver 5/18/06 8:14:58 PM EDT: thats good
  2800. Quicksilver 5/18/06 8:15:04 PM EDT: its a way to discuss
  2801. Gerry 5/18/06 8:15:40 PM EDT: You are great young mathematicians. I am glad I got a chance to meet you and watch you work together
  2802. Quicksilver 5/18/06 8:15:52 PM EDT: Thank you
  2803. bwang8 5/18/06 8:15:57 PM EDT: it is fun being here
  2804. Aznx 5/18/06 8:16:02 PM EDT: Thanks. What's the name of the topic you created for us?
  2805. Quicksilver 5/18/06 8:16:04 PM EDT: Thanks for guiding us, and yes it was very fun
  2806. Aznx 5/18/06 8:16:07 PM EDT: Yeah, it's definetely fun.
  2807. bwang8 5/18/06 8:16:20 PM EDT: yes, thank you
  2808. bwang8 5/18/06 8:16:36 PM EDT: where is the room you made us?
  2809. Quicksilver 5/18/06 8:16:51 PM EDT: It should be in open rooms, but we don't know the name
  2810. bwang8 5/18/06 8:17:05 PM EDT: ok
  2811. bwang8 5/18/06 8:17:20 PM EDT: i think we are very close to solving the problem here
  2812. Quicksilver 5/18/06 8:17:35 PM EDT: Oh great...I have to leave
  2813. Aznx 5/18/06 8:17:39 PM EDT: We can solve on that topic.
  2814. Quicksilver 5/18/06 8:17:42 PM EDT: Sorry guys
  2815. bwang8 5/18/06 8:17:45 PM EDT: oh
  2816. Aznx 5/18/06 8:17:46 PM EDT: It shouldn't take much time.
  2817. bwang8 5/18/06 8:17:47 PM EDT: ok
  2818. Aznx 5/18/06 8:17:50 PM EDT: k, bye aditya
  2819. Quicksilver 5/18/06 8:17:52 PM EDT: Just tell me the name of the room
  2820. bwang8 5/18/06 8:17:52 PM EDT: bye
  2821. Gerry 5/18/06 8:18:14 PM EDT: The new room is in the lobby under Open Rooms
  2822. Gerry 5/18/06 8:18:44 PM EDT: It is under The Grid World. It has your names on it
  2823. Quicksilver 5/18/06 8:18:49 PM EDT: leaves the room
  2824. Aznx 5/18/06 8:19:00 PM EDT: Alright found it.
  2825. Aznx 5/18/06 8:19:04 PM EDT: Thanks.
  2826. Aznx 5/18/06 8:19:12 PM EDT: I guess we should leave then.
  2827. bwang8 5/18/06 8:19:34 PM EDT: well do you want to solve the problem
  2828. bwang8 5/18/06 8:19:36 PM EDT: i mean
  2829. bwang8 5/18/06 8:19:39 PM EDT: we are close
  2830. Aznx 5/18/06 8:19:48 PM EDT: Alright.
  2831. bwang8 5/18/06 8:19:51 PM EDT: i don't want to wait til tomorrow
  2832. bwang8 5/18/06 8:19:53 PM EDT: ok
  2833. Aznx 5/18/06 8:19:55 PM EDT: How do you want to approach it?
  2834. bwang8 5/18/06 8:20:14 PM EDT: 1st level have 1*4
  2835. Gerry 5/18/06 8:20:20 PM EDT: You can put something on the wiki to summarize what you found today
  2836. bwang8 5/18/06 8:20:29 PM EDT: 2st level have (1+3)*4
  2837. Aznx 5/18/06 8:20:32 PM EDT: bwang you put it.
  2838. Aznx 5/18/06 8:20:35 PM EDT: for the wiki
  2839. bwang8 5/18/06 8:20:37 PM EDT: ok
  2840. Aznx 5/18/06 8:20:42 PM EDT: we actually did quite a lot today
  2841. bwang8 5/18/06 8:20:53 PM EDT: 3rd level have (1+3+5)*4
  2842. bwang8 5/18/06 8:21:05 PM EDT: 4th level have (1+3+5+7)*4
  2843. Gerry 5/18/06 8:21:10 PM EDT: This is a nice way to solve it
  2844. Aznx 5/18/06 8:21:12 PM EDT: So it's a pattern of +2s?
  2845. Aznx 5/18/06 8:21:15 PM EDT: Ah ha!
  2846. bwang8 5/18/06 8:21:15 PM EDT: yes
  2847. Aznx 5/18/06 8:21:20 PM EDT: There's the pattern!
  2848. bwang8 5/18/06 8:21:39 PM EDT: now we have to find a equation that describe that pattern
  2849. Aznx 5/18/06 8:21:49 PM EDT: Hold on.
  2850. Aznx 5/18/06 8:21:51 PM EDT: I know it.
  2851. bwang8 5/18/06 8:21:57 PM EDT: what is it
  2852. Aznx 5/18/06 8:21:58 PM EDT: But I'm trying to remember it. =P
  2853. Aznx 5/18/06 8:22:04 PM EDT: and explain it as well.
  2854. Aznx 5/18/06 8:22:17 PM EDT: try and think of it
  2855. Gerry 5/18/06 8:22:53 PM EDT: Maybe Quicksilver can come back here tomorrow or next week to finish it with you
  2856. Gerry 5/18/06 8:23:01 PM EDT: I have to go now
  2857. Gerry 5/18/06 8:23:05 PM EDT: Bye!
  2858. bwang8 5/18/06 8:23:06 PM EDT: ok
  2859. bwang8 5/18/06 8:23:07 PM EDT: bye
  2860. Gerry 5/18/06 8:23:23 PM EDT: leaves the room
  2861. bwang8 5/18/06 8:23:29 PM EDT: ok
  2862. bwang8 5/18/06 8:23:32 PM EDT: so
  2863. bwang8 5/18/06 8:23:37 PM EDT: i think it is this
  2864. Aznx 5/18/06 8:23:53 PM EDT: ok
  2865. Aznx 5/18/06 8:23:55 PM EDT: i found it
  2866. Aznx 5/18/06 8:24:00 PM EDT: n^2
  2867. bwang8 5/18/06 8:24:01 PM EDT: (2*n)*n/2
  2868. Aznx 5/18/06 8:24:09 PM EDT: or (n/2)^2
  2869. Aznx 5/18/06 8:24:14 PM EDT: I'm simplifying
  2870. Aznx 5/18/06 8:24:30 PM EDT: if u simplify urs
  2871. Aznx 5/18/06 8:24:35 PM EDT: its n^2
  2872. Aznx 5/18/06 8:24:59 PM EDT: bwang
  2873. Aznx 5/18/06 8:25:01 PM EDT: you there?
  2874. bwang8 5/18/06 8:25:03 PM EDT: so that's wrong
  2875. bwang8 5/18/06 8:25:07 PM EDT: yeah
  2876. bwang8 5/18/06 8:25:08 PM EDT: i am here
  2877. Aznx 5/18/06 8:25:11 PM EDT: so
  2878. Aznx 5/18/06 8:25:13 PM EDT: the formula
  2879. Aznx 5/18/06 8:25:22 PM EDT: would be 4n^2?
  2880. bwang8 5/18/06 8:25:28 PM EDT: let's check
  2881. bwang8 5/18/06 8:25:55 PM EDT: yes
  2882. bwang8 5/18/06 8:26:00 PM EDT: it actually is
  2883. Aznx 5/18/06 8:26:02 PM EDT: So we got it!
  2884. bwang8 5/18/06 8:26:02 PM EDT: omg
  2885. Aznx 5/18/06 8:26:04 PM EDT: yay!
  2886. bwang8 5/18/06 8:26:08 PM EDT: i think we got it!!!!!!!!!!!!
  2887. Aznx 5/18/06 8:26:12 PM EDT: WE DID IT!!!!!!
  2888. bwang8 5/18/06 8:26:12 PM EDT: and it is so simple
  2889. Aznx 5/18/06 8:26:14 PM EDT: YAY!!!!
  2890. Aznx 5/18/06 8:26:16 PM EDT: i know
  2891. bwang8 5/18/06 8:26:17 PM EDT: lol
  2892. Aznx 5/18/06 8:26:18 PM EDT: lol
  2893. Aznx 5/18/06 8:26:34 PM EDT: So you're putting it in the wiki, right?
  2894. bwang8 5/18/06 8:26:37 PM EDT: yes
  2895. Aznx 5/18/06 8:26:41 PM EDT: Alright then.
  2896. bwang8 5/18/06 8:26:43 PM EDT: ok
  2897. Aznx 5/18/06 8:26:53 PM EDT: Give an email to Gery, telling him that we got it. =)
  2898. bwang8 5/18/06 8:26:57 PM EDT: ok
  2899. Aznx 5/18/06 8:26:59 PM EDT: I meant Gerry
  2900. bwang8 5/18/06 8:27:04 PM EDT: are you going to do it
  2901. bwang8 5/18/06 8:27:07 PM EDT: or am i
  2902. Aznx 5/18/06 8:27:12 PM EDT: You do it.
  2903. bwang8 5/18/06 8:27:14 PM EDT: ok
  2904. Aznx 5/18/06 8:27:19 PM EDT: Tell him that we both dervied n^2
  2905. Aznx 5/18/06 8:27:29 PM EDT: And then we saw that pattern
  2906. Aznx 5/18/06 8:27:37 PM EDT: and we got the formula
  2907. Aznx 5/18/06 8:27:44 PM EDT: when should we meet again?
  2908. Aznx 5/18/06 8:27:49 PM EDT: hat's your email?
  2909. Aznx 5/18/06 8:27:52 PM EDT: we should keep in touch
  2910. bwang8 5/18/06 8:27:57 PM EDT: yeah
  2911. bwang8 5/18/06 8:28:09 PM EDT: next tuesday?
  2912. Aznx 5/18/06 8:28:18 PM EDT: next thursday,...
  2913. Aznx 5/18/06 8:28:21 PM EDT: sounds good to me
  2914. bwang8 5/18/06 8:28:29 PM EDT: next thursday
  2915. bwang8 5/18/06 8:28:31 PM EDT: ok
  2916. Aznx 5/18/06 8:28:31 PM EDT: give me your email so i can tell you if its ok with quicksilver
  2917. bwang8 5/18/06 8:28:35 PM EDT: it is fine by me
  2918. Aznx 5/18/06 8:28:35 PM EDT: same time right?
  2919. bwang8 5/18/06 8:28:51 PM EDT: maybe start at 5:30
  2920. Aznx 5/18/06 8:28:59 PM EDT: hm
  2921. Aznx 5/18/06 8:29:00 PM EDT: ok
  2922. Aznx 5/18/06 8:29:03 PM EDT: email?
  2923. bwang8 5/18/06 8:29:04 PM EDT: ok
  2924. bwang8 5/18/06 8:29:11 PM EDT: thy413@gmail.com
  2925. Aznx 5/18/06 8:29:15 PM EDT: mine is superravenclaw@gmial.com
  2926. bwang8 5/18/06 8:29:27 PM EDT: hey we both have gamil
  2927. bwang8 5/18/06 8:29:30 PM EDT: lol
  2928. Aznx 5/18/06 8:29:32 PM EDT: lol
  2929. Aznx 5/18/06 8:29:35 PM EDT: u have gtalk?
  2930. Aznx 5/18/06 8:29:52 PM EDT: its the chat messaging system
  2931. Aznx 5/18/06 8:29:55 PM EDT: for gmail users
  2932. bwang8 5/18/06 8:30:00 PM EDT: yes
  2933. Aznx 5/18/06 8:30:05 PM EDT: you have it?
  2934. Aznx 5/18/06 8:30:09 PM EDT: is it on right now?
  2935. Aznx 5/18/06 8:30:12 PM EDT: i'll invite you
  2936. bwang8 5/18/06 8:30:12 PM EDT: i think so
  2937. bwang8 5/18/06 8:30:15 PM EDT: ok
  2938. Aznx 5/18/06 8:30:35 PM EDT: yeah i added you
  2939. Aznx 5/18/06 8:32:21 PM EDT: leaves the room
  2940. Aznx 5/18/06 8:33:01 PM EDT: joins the room
  2941. Aznx 5/18/06 8:33:11 PM EDT: leaves the room
  2942. bwang8 5/18/06 8:39:26 PM EDT: bwang8 sent an email to mentors. Subject: Gerry, we found the equation! Message: We found the equation for the number of squares in the diamond shortly after you left. It is 4(n^2). After we saw the pattern of 1+3+5+7......, we summarized it with (2n)n/2 and that simplify to n^2. So we times it by four and got the equation. We checked it with the first 4 level and it all worked.
  2943. bwang8 5/18/06 8:41:01 PM EDT:
  2944. bwang8 5/18/06 9:24:12 PM EDT: leaves the room
  2945. Quicksilver 5/18/06 9:50:52 PM EDT: joins the room
  2946. Quicksilver 5/18/06 9:51:28 PM EDT: leaves the room
  2947. Quicksilver 5/19/06 9:59:41 AM EDT: joins the room
  2948. Quicksilver 5/19/06 10:00:40 AM EDT: leaves the room
  2949. tutor 5/19/06 5:00:59 PM EDT: joins the room
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  2951. Aznx 5/21/06 3:10:50 AM EDT: joins the room
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  2954. Aznx 5/21/06 3:27:53 AM EDT: leaves the room
  2955. Quicksilver 5/21/06 12:47:02 PM EDT: joins the room
  2956. Quicksilver 5/21/06 12:48:12 PM EDT: leaves the room
  2957. Gerry 5/22/06 4:16:53 PM EDT: joins the room
  2958. Gerry 5/22/06 4:27:30 PM EDT: Gerry sent an email to room members and the mentors. Subject: 4n^2 Message: Team B: You did a great job finishing up this problem, making your argument clear, making sure you all understood, and checking the answer. Are you going to do the same thing with the grid world problem this week? It is an even more interesting problem I think. I guess some of you worked on it last year, but you might try to do a more thorough job this week and post your analysis on a new page of the wiki. Or else come up with some other problems you want to discuss. Have fun! --Gerry
  2959. Gerry 5/22/06 4:27:33 PM EDT: leaves the room
  2960. bwang8 5/23/06 6:31:30 PM EDT: joins the room
  2961. bwang8 5/23/06 6:32:15 PM EDT:
  2962. bwang8 5/23/06 6:32:30 PM EDT: leaves the room
  2963. Aznx 5/25/06 8:28:54 PM EDT: joins the room
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  2968. bwang8 5/26/06 12:45:52 AM EDT: leaves the room
  2969. Gerry 5/31/06 2:17:20 PM EDT: joins the room
  2970. tutor 5/31/06 2:20:48 PM EDT: joins the room
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  2974. Quicksilver 6/3/06 9:19:24 PM EDT: joins the room
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