Dataset2/TeamB
From Jsarmi
Gerry 5/9/06 6:17:35 PM EDT: joins the room
bwang8 5/9/06 6:23:13 PM EDT: joins the room Aznx 5/9/06 6:23:14 PM EDT: joins the room Quicksilver 5/9/06 6:23:14 PM EDT: joins the room bwang8 5/9/06 6:23:18 PM EDT: hi Aznx 5/9/06 6:23:23 PM EDT: Hi Quicksilver 5/9/06 6:23:28 PM EDT: hey Aznx 5/9/06 6:23:35 PM EDT: So we can't have our own friends? bwang8 5/9/06 6:23:40 PM EDT: nope bwang8 5/9/06 6:23:49 PM EDT: lol Quicksilver 5/9/06 6:23:52 PM EDT: hey three of us are from miller Gerry 5/9/06 6:23:55 PM EDT: Hi everyone! bwang8 5/9/06 6:24:03 PM EDT: oh Gerry 5/9/06 6:24:06 PM EDT: I am your VMT guide today Aznx 5/9/06 6:24:06 PM EDT: How? Quicksilver 5/9/06 6:24:12 PM EDT: nvrmind Quicksilver 5/9/06 6:24:13 PM EDT: two of us Aznx 5/9/06 6:24:13 PM EDT: Who's Gerry? bwang8 5/9/06 6:24:19 PM EDT: admin Aznx 5/9/06 6:24:19 PM EDT: Yeah. =) Quicksilver 5/9/06 6:24:45 PM EDT: Hello Gerry! Gerry 5/9/06 6:24:59 PM EDT: Today's session is mainly to get to know the VMT system Aznx 5/9/06 6:25:18 PM EDT: So, how do you use the whiteboard? bwang8 5/9/06 6:25:25 PM EDT: bwang8 5/9/06 6:25:29 PM EDT: Gerry 5/9/06 6:25:51 PM EDT: I will answer your questions as you start to do things bwang8 5/9/06 6:25:59 PM EDT: asdfadsf bwang8 5/9/06 6:25:59 PM EDT: bwang8 5/9/06 6:26:07 PM EDT: bwang8 5/9/06 6:26:09 PM EDT: bwang8 5/9/06 6:26:15 PM EDT: ok Gerry 5/9/06 6:26:27 PM EDT: The whiteboard is a shared area for drawing and textboxes 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 Aznx 5/9/06 6:27:18 PM EDT: It seems they only last for a while thoough/ bwang8 5/9/06 6:27:26 PM EDT: i delete them Aznx 5/9/06 6:27:47 PM EDT: Does that mean in the real time, all the work would be there? bwang8 5/9/06 6:27:48 PM EDT: can you see main topic? Gerry 5/9/06 6:27:53 PM EDT: Since things are shared, you should be careful about deleting bwang8 5/9/06 6:28:02 PM EDT: no, my things bwang8 5/9/06 6:28:10 PM EDT: just testing bwang8 5/9/06 6:28:14 PM EDT: functions bwang8 5/9/06 6:28:31 PM EDT: bwang8 5/9/06 6:28:33 PM EDT: bwang8 5/9/06 6:28:35 PM EDT: Gerry 5/9/06 6:28:40 PM EDT: remember, you are trying to collaborate Quicksilver 5/9/06 6:28:42 PM EDT: bwang8 5/9/06 6:28:46 PM EDT: ok 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 bwang8 5/9/06 6:29:32 PM EDT: ok bwang8 5/9/06 6:29:50 PM EDT: are we suppose to solve it now? 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 Gerry 5/9/06 6:30:36 PM EDT: browser* Aznx 5/9/06 6:30:40 PM EDT: It didn't open. Aznx 5/9/06 6:30:52 PM EDT: Now it did. Aznx 5/9/06 6:31:32 PM EDT: So, are we supposed to work together? bwang8 5/9/06 6:31:49 PM EDT: yeah bwang8 5/9/06 6:31:50 PM EDT: ok Gerry 5/9/06 6:31:54 PM EDT: Exactly! Aznx 5/9/06 6:32:04 PM EDT: Aditya, you there? bwang8 5/9/06 6:32:05 PM EDT: you can divide the thing into two parts bwang8 5/9/06 6:32:09 PM EDT: Aznx 5/9/06 6:32:10 PM EDT: Let's start this thing. bwang8 5/9/06 6:32:11 PM EDT: bwang8 5/9/06 6:32:13 PM EDT: bwang8 5/9/06 6:32:15 PM EDT: bwang8 5/9/06 6:32:16 PM EDT: bwang8 5/9/06 6:32:18 PM EDT: bwang8 5/9/06 6:32:20 PM EDT: bwang8 5/9/06 6:32:22 PM EDT: bwang8 5/9/06 6:32:24 PM EDT: bwang8 5/9/06 6:32:25 PM EDT: bwang8 5/9/06 6:32:27 PM EDT: bwang8 5/9/06 6:32:29 PM EDT: bwang8 5/9/06 6:32:30 PM EDT: bwang8 5/9/06 6:32:31 PM EDT: bwang8 5/9/06 6:32:33 PM EDT: bwang8 5/9/06 6:32:34 PM EDT: bwang8 5/9/06 6:32:36 PM EDT: bwang8 5/9/06 6:32:38 PM EDT: Quicksilver 5/9/06 6:32:38 PM EDT: my computer was lagging...What are we doing? Aznx 5/9/06 6:32:49 PM EDT: http://home.old.mathforum.org/SFest.html Quicksilver 5/9/06 6:32:58 PM EDT: what are the lines for? Aznx 5/9/06 6:33:01 PM EDT: go to view topic 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 Aznx 5/9/06 6:33:09 PM EDT: read the problem bwang8 5/9/06 6:33:32 PM EDT: 1+2+3+........+N+N bwang8 5/9/06 6:33:38 PM EDT: times that by 2 Quicksilver 5/9/06 6:33:40 PM EDT: Never mind I figured it out.. Aznx 5/9/06 6:34:01 PM EDT: Can we collaborate this answer even more? Aznx 5/9/06 6:34:05 PM EDT: To make it even simpler? bwang8 5/9/06 6:34:15 PM EDT: ok Aznx 5/9/06 6:34:16 PM EDT: Because I think we can. bwang8 5/9/06 6:34:50 PM EDT: ((1+N)*N/2+N)*2 bwang8 5/9/06 6:34:58 PM EDT: that's the formula, right? Aznx 5/9/06 6:35:15 PM EDT: How did you come up with it? bwang8 5/9/06 6:35:16 PM EDT: for total sticks bwang8 5/9/06 6:35:34 PM EDT: is a common formual bwang8 5/9/06 6:35:40 PM EDT: formula Aznx 5/9/06 6:35:46 PM EDT: Yeah, I know. bwang8 5/9/06 6:35:59 PM EDT: and just slightly modify it to get this bwang8 5/9/06 6:36:15 PM EDT: bwang8 5/9/06 6:36:23 PM EDT: bwang8 5/9/06 6:36:24 PM EDT: bwang8 5/9/06 6:36:27 PM EDT: bwang8 5/9/06 6:36:31 PM EDT: Aznx 5/9/06 6:36:31 PM EDT: Aditya, you get this right? bwang8 5/9/06 6:36:32 PM EDT: bwang8 5/9/06 6:36:35 PM EDT: bwang8 5/9/06 6:36:37 PM EDT: bwang8 5/9/06 6:36:39 PM EDT: bwang8 5/9/06 6:36:40 PM EDT: bwang8 5/9/06 6:36:42 PM EDT: bwang8 5/9/06 6:36:43 PM EDT: Quicksilver 5/9/06 6:36:44 PM EDT: bwang8 5/9/06 6:36:45 PM EDT: Quicksilver 5/9/06 6:36:47 PM EDT: Quicksilver 5/9/06 6:36:50 PM EDT: Quicksilver 5/9/06 6:36:55 PM EDT: Quicksilver 5/9/06 6:36:59 PM EDT: Quicksilver 5/9/06 6:37:00 PM EDT: Quicksilver 5/9/06 6:37:01 PM EDT: Quicksilver 5/9/06 6:37:05 PM EDT: Quicksilver 5/9/06 6:37:45 PM EDT: What does the n represent? bwang8 5/9/06 6:37:57 PM EDT: the given bwang8 5/9/06 6:37:58 PM EDT: N Aznx 5/9/06 6:38:02 PM EDT: Yeah. Aznx 5/9/06 6:38:05 PM EDT: In the problem. Gerry 5/9/06 6:38:13 PM EDT: Gerry 5/9/06 6:38:17 PM EDT: Quicksilver 5/9/06 6:38:20 PM EDT: Quicksilver 5/9/06 6:38:37 PM EDT: Oh bwang8 5/9/06 6:38:38 PM EDT: The number of squares is just (1+N)*N/2 Aznx 5/9/06 6:38:44 PM EDT: Aznx 5/9/06 6:38:48 PM EDT: Quicksilver 5/9/06 6:38:50 PM EDT: We need that as well. Aznx 5/9/06 6:38:51 PM EDT: Gerry 5/9/06 6:38:52 PM EDT: I put BWang's formula on the whiteboard Aznx 5/9/06 6:38:55 PM EDT: Aznx 5/9/06 6:39:19 PM EDT: Aznx 5/9/06 6:39:28 PM EDT: Aznx 5/9/06 6:39:45 PM EDT: So how do we submit this? Quicksilver 5/9/06 6:40:26 PM EDT: We are still in the process Quicksilver 5/9/06 6:40:38 PM EDT: We are discussing Gerry 5/9/06 6:40:41 PM EDT: you can complete the table for different N and put that on the wiki bwang8 5/9/06 6:40:46 PM EDT: ok Quicksilver 5/9/06 6:40:56 PM EDT: Do we complete it on the whiteboard? Aznx 5/9/06 6:40:59 PM EDT: bwang you can do it. bwang8 5/9/06 6:41:01 PM EDT: that would take a while Aznx 5/9/06 6:41:10 PM EDT: Or do we all have to put the values? 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 bwang8 5/9/06 6:42:17 PM EDT: ok Aznx 5/9/06 6:42:22 PM EDT: Ok. bwang8 5/9/06 6:42:37 PM EDT: me 4 Aznx 5/9/06 6:42:44 PM EDT: I'll do 5. Aznx 5/9/06 6:42:49 PM EDT: Aditya does 6. Aznx 5/9/06 6:42:59 PM EDT: So we submit it together for N? bwang8 5/9/06 6:43:33 PM EDT: where do i enter the answer Gerry 5/9/06 6:44:08 PM EDT: From the window with the Topic, click on the link for the wiki Aznx 5/9/06 6:44:19 PM EDT: And then? Gerry 5/9/06 6:44:43 PM EDT: Then go to "rows of the table" Gerry 5/9/06 6:45:14 PM EDT: At the bottom of the wiki page is a link to "edit this page" Aznx 5/9/06 6:45:49 PM EDT: So our team name is 2? Gerry 5/9/06 6:45:49 PM EDT: Take turns so you do not overwrite each other's edits Gerry 5/9/06 6:46:01 PM EDT: You are TEAM B Aznx 5/9/06 6:46:04 PM EDT: ok Aznx 5/9/06 6:46:14 PM EDT: bwang you go first bwang8 5/9/06 6:46:18 PM EDT: ok Aznx 5/9/06 6:46:19 PM EDT: tell me when you're done Gerry 5/9/06 6:46:37 PM EDT: Enter your team name and the values for sticks and squares Quicksilver 5/9/06 6:46:43 PM EDT: I tried, but it didn't work Quicksilver 5/9/06 6:46:50 PM EDT: Are we Team B? Aznx 5/9/06 6:46:55 PM EDT: TEAM B bwang8 5/9/06 6:47:02 PM EDT: i am done Aznx 5/9/06 6:47:06 PM EDT: I think's its case sensitive. Aznx 5/9/06 6:47:11 PM EDT: Alright, my turn. Gerry 5/9/06 6:47:25 PM EDT: Nice! bwang8 5/9/06 6:47:27 PM EDT: is mine in the correct format Aznx 5/9/06 6:47:47 PM EDT: We just write B? Aznx 5/9/06 6:47:51 PM EDT: On Team name? Aznx 5/9/06 6:47:53 PM EDT: right? bwang8 5/9/06 6:47:57 PM EDT: yes Gerry 5/9/06 6:48:02 PM EDT: yes Aznx 5/9/06 6:49:28 PM EDT: Just checking. Aznx 5/9/06 6:49:34 PM EDT: The number of squares is 15. 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 bwang8 5/9/06 6:50:13 PM EDT: bwang8 5/9/06 6:50:19 PM EDT: bwang8 5/9/06 6:50:29 PM EDT: bwang8 5/9/06 6:50:35 PM EDT: bwang8 5/9/06 6:50:39 PM EDT: bwang8 5/9/06 6:50:42 PM EDT: bwang8 5/9/06 6:50:44 PM EDT: bwang8 5/9/06 6:50:46 PM EDT: bwang8 5/9/06 6:50:48 PM EDT: Quicksilver 5/9/06 6:51:00 PM EDT: There are 15 squares and 44 sticks for n=5? bwang8 5/9/06 6:51:01 PM EDT: bwang8 5/9/06 6:51:08 PM EDT: bwang8 5/9/06 6:51:11 PM EDT: bwang8 5/9/06 6:51:13 PM EDT: bwang8 5/9/06 6:51:19 PM EDT: bwang8 5/9/06 6:51:23 PM EDT: bwang8 5/9/06 6:51:24 PM EDT: bwang8 5/9/06 6:51:27 PM EDT: bwang8 5/9/06 6:51:32 PM EDT: bwang8 5/9/06 6:51:35 PM EDT: bwang8 5/9/06 6:51:37 PM EDT: bwang8 5/9/06 6:51:40 PM EDT: bwang8 5/9/06 6:51:41 PM EDT: bwang8 5/9/06 6:51:43 PM EDT: bwang8 5/9/06 6:51:44 PM EDT: bwang8 5/9/06 6:52:03 PM EDT: isn't it 40 bwang8 5/9/06 6:52:18 PM EDT: (15+5)*2 bwang8 5/9/06 6:52:28 PM EDT: bwang8 5/9/06 6:52:30 PM EDT: Quicksilver 5/9/06 6:52:35 PM EDT: How do you draw a table in the whiteboard? bwang8 5/9/06 6:52:37 PM EDT: bwang8 5/9/06 6:52:51 PM EDT: line tool and scribble bwang8 5/9/06 6:52:53 PM EDT: lol bwang8 5/9/06 6:52:59 PM EDT: it looks really bad Aznx 5/9/06 6:53:24 PM EDT: everyone agree with me? Aznx 5/9/06 6:53:29 PM EDT: on the table? Aznx 5/9/06 6:53:35 PM EDT: i triple-checked =P bwang8 5/9/06 6:54:12 PM EDT: ok bwang8 5/9/06 6:54:17 PM EDT: i can't see it Aznx 5/9/06 6:54:34 PM EDT: you cant? Aznx 5/9/06 6:54:39 PM EDT: i'll draw it then =P Aznx 5/9/06 6:54:47 PM EDT: Aznx 5/9/06 6:54:48 PM EDT: Aznx 5/9/06 6:54:51 PM EDT: Aznx 5/9/06 6:54:53 PM EDT: Aznx 5/9/06 6:54:55 PM EDT: Quicksilver 5/9/06 6:54:57 PM EDT: Yes Aznx 5/9/06 6:54:58 PM EDT: Aznx 5/9/06 6:55:01 PM EDT: Aznx 5/9/06 6:55:09 PM EDT: Aznx 5/9/06 6:55:10 PM EDT: Aznx 5/9/06 6:55:15 PM EDT: Aznx 5/9/06 6:55:17 PM EDT: Aznx 5/9/06 6:55:19 PM EDT: Aznx 5/9/06 6:55:25 PM EDT: agreed? Quicksilver 5/9/06 6:55:32 PM EDT: why can't I select to draw a line? Aznx 5/9/06 6:55:41 PM EDT: Aznx 5/9/06 6:55:44 PM EDT: Quicksilver 5/9/06 6:55:45 PM EDT: How did you guys do it? Aznx 5/9/06 6:55:45 PM EDT: Aznx 5/9/06 6:55:48 PM EDT: Aznx 5/9/06 6:55:49 PM EDT: Aznx 5/9/06 6:55:51 PM EDT: Aznx 5/9/06 6:55:53 PM EDT: Aznx 5/9/06 6:55:54 PM EDT: Aznx 5/9/06 6:55:56 PM EDT: Aznx 5/9/06 6:55:58 PM EDT: Aznx 5/9/06 6:56:00 PM EDT: Aznx 5/9/06 6:56:02 PM EDT: Aznx 5/9/06 6:56:10 PM EDT: There! 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 Aznx 5/9/06 6:56:23 PM EDT: bwang8 5/9/06 6:56:29 PM EDT: wait isn't it 40 for # of sticks Aznx 5/9/06 6:56:37 PM EDT: Everyone agree with me? Aznx 5/9/06 6:56:43 PM EDT: Yeah bwang8 5/9/06 6:56:44 PM EDT: (15+5)*2 Aznx 5/9/06 6:56:48 PM EDT: Um. Aznx 5/9/06 6:56:52 PM EDT: I switched them around Aznx 5/9/06 6:56:54 PM EDT: lol bwang8 5/9/06 6:57:04 PM EDT: ? Aznx 5/9/06 6:57:23 PM EDT: the numbers are correct bwang8 5/9/06 6:57:44 PM EDT: no Aznx 5/9/06 6:57:52 PM EDT: they're not on the right place bwang8 5/9/06 6:57:56 PM EDT: (15+5)*2=40 Aznx 5/9/06 6:58:05 PM EDT: i wrote 40. bwang8 5/9/06 6:58:05 PM EDT: i know they are not in right place Aznx 5/9/06 6:58:09 PM EDT: yeah bwang8 5/9/06 6:58:10 PM EDT: oh Aznx 5/9/06 6:58:13 PM EDT: lol bwang8 5/9/06 6:58:18 PM EDT: i see 44 bwang8 5/9/06 6:58:21 PM EDT: Aznx 5/9/06 6:58:31 PM EDT: Aznx 5/9/06 6:58:32 PM EDT: bwang8 5/9/06 6:58:33 PM EDT: Aznx 5/9/06 6:58:40 PM EDT: Aznx 5/9/06 6:58:45 PM EDT: bwang8 5/9/06 6:58:48 PM EDT: Aznx 5/9/06 6:59:02 PM EDT: bwang you can edit for all of them. Aznx 5/9/06 6:59:12 PM EDT: I'm just good that everyone agrees. Aznx 5/9/06 6:59:23 PM EDT: Aditya, you agree with all of them right? Gerry 5/9/06 7:00:35 PM EDT: Quicksilver, are you having technical problems with your computer today? 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 Gerry 5/9/06 7:01:37 PM EDT: OK. I see why it took you a while Quicksilver 5/9/06 7:01:54 PM EDT: My computer somehow wasn't receiving the messages Quicksilver 5/9/06 7:02:01 PM EDT: and the whitboard isn't showing anything Aznx 5/9/06 7:02:25 PM EDT: Your Java might not be updated. Aznx 5/9/06 7:02:39 PM EDT: I have a solution Quicksilver 5/9/06 7:02:42 PM EDT: And Did you guys really draw a table, because I don't see anything Quicksilver 5/9/06 7:02:42 PM EDT: Aznx 5/9/06 7:02:46 PM EDT: I can send in screenshots Aznx 5/9/06 7:02:53 PM EDT: and put the link of them here Quicksilver 5/9/06 7:03:13 PM EDT: I can't even see some of the messages I send Aznx 5/9/06 7:03:22 PM EDT: hold on Aznx 5/9/06 7:03:28 PM EDT: lemme make a screenshot Aznx 5/9/06 7:03:48 PM EDT: darn Aznx 5/9/06 7:03:51 PM EDT: i dont have paint Aznx 5/9/06 7:04:00 PM EDT: bwang can you do it for aditya? bwang8 5/9/06 7:04:05 PM EDT: bwang8 5/9/06 7:04:10 PM EDT: bwang8 5/9/06 7:04:11 PM EDT: bwang8 5/9/06 7:04:13 PM EDT: bwang8 5/9/06 7:04:15 PM EDT: bwang8 5/9/06 7:04:15 PM EDT: bwang8 5/9/06 7:04:16 PM EDT: bwang8 5/9/06 7:04:17 PM EDT: Quicksilver 5/9/06 7:04:19 PM EDT: Do waht? bwang8 5/9/06 7:04:25 PM EDT: ok jsarmi 5/9/06 7:04:25 PM EDT: joins the room Aznx 5/9/06 7:04:27 PM EDT: make a screenshot for you Aznx 5/9/06 7:04:32 PM EDT: so you can see the table Gerry 5/9/06 7:04:43 PM EDT: Maybe we should stop for today Aznx 5/9/06 7:04:48 PM EDT: Alright. 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 Gerry 5/9/06 7:05:10 PM EDT: and let jsarmi help Quicksilver get ready to Thursday 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) bwang8 5/9/06 7:05:38 PM EDT: Quicksilver 5/9/06 7:05:43 PM EDT: leaves the room Gerry 5/9/06 7:05:48 PM EDT: You made a lot of progress already. Aznx 5/9/06 7:05:53 PM EDT: So do we leave? bwang8 5/9/06 7:05:58 PM EDT: this is the screenshot Aznx 5/9/06 7:06:01 PM EDT: And when do we come back? bwang8 5/9/06 7:06:05 PM EDT: Quicksilver 5/9/06 7:06:08 PM EDT: joins the room Quicksilver 5/9/06 7:06:32 PM EDT: That"S better jsarmi 5/9/06 7:06:35 PM EDT: Any better, Quicksilver? Quicksilver 5/9/06 7:06:39 PM EDT: yes jsarmi 5/9/06 7:06:41 PM EDT: awesome Quicksilver 5/9/06 7:06:44 PM EDT: Quicksilver 5/9/06 7:06:47 PM EDT: 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 jsarmi 5/9/06 7:07:06 PM EDT: that's correct... same time, same team, same room bwang8 5/9/06 7:07:12 PM EDT: ok Quicksilver 5/9/06 7:07:15 PM EDT: I have a dentis't appointment...I don't think I can come Aznx 5/9/06 7:07:16 PM EDT: Same time on Thursay...got it! bwang8 5/9/06 7:07:37 PM EDT: but aren't we done now with this problem Aznx 5/9/06 7:07:47 PM EDT: Yeah Aznx 5/9/06 7:07:56 PM EDT: So I guess we would start on the second problem? bwang8 5/9/06 7:08:05 PM EDT: ok Quicksilver 5/9/06 7:08:16 PM EDT: Did you guys discuss the problem like it said to? Aznx 5/9/06 7:08:21 PM EDT: Yeah. Quicksilver 5/9/06 7:08:22 PM EDT: i didn't get half the messages' Quicksilver 5/9/06 7:08:24 PM EDT: so i dont know bwang8 5/9/06 7:08:25 PM EDT: yeah Quicksilver 5/9/06 7:08:32 PM EDT: well thats good jsarmi 5/9/06 7:08:40 PM EDT: I will send you instructions on how to catch up, Quicksilver 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? Quicksilver 5/9/06 7:08:49 PM EDT: by email? Quicksilver 5/9/06 7:08:55 PM EDT: We still ahve school Quicksilver 5/9/06 7:09:01 PM EDT: until 3 jsarmi 5/9/06 7:09:03 PM EDT: right Aznx 5/9/06 7:09:36 PM EDT: Yeah, Aditya's right. Quicksilver 5/9/06 7:09:45 PM EDT: Can we just reschedule for wednesday or something? jsarmi 5/9/06 7:11:03 PM EDT: If it works out for everyone, you could re-schedule... is that an option? Aznx 5/9/06 7:11:23 PM EDT: Wednesday should work for me. Quicksilver 5/9/06 7:11:31 PM EDT: it works for me Aznx 5/9/06 7:11:43 PM EDT: bwang? bwang8 5/9/06 7:11:50 PM EDT: yes Quicksilver 5/9/06 7:11:59 PM EDT: So this time tomorrow then Quicksilver 5/9/06 7:12:11 PM EDT: in place of thursdays bwang8 5/9/06 7:12:14 PM EDT: wednesday, 6-7 central? Aznx 5/9/06 7:12:34 PM EDT: Same time as today. Quicksilver 5/9/06 7:12:38 PM EDT: Yeah bwang8 5/9/06 7:12:44 PM EDT: ok Aznx 5/9/06 7:12:45 PM EDT: Except it's Wednesday instead of Thursday. Quicksilver 5/9/06 7:13:00 PM EDT: Great bwang8 5/9/06 7:13:06 PM EDT: is it just for us, or does it apply to all team bwang8 5/9/06 7:13:10 PM EDT: teams Quicksilver 5/9/06 7:13:17 PM EDT: I think it Quicksilver 5/9/06 7:13:19 PM EDT: is just us jsarmi 5/9/06 7:13:20 PM EDT: Just for you!!! Quicksilver 5/9/06 7:13:30 PM EDT: Thanks for changing it. Aznx 5/9/06 7:13:37 PM EDT: So will we start on a new problem? jsarmi 5/9/06 7:13:43 PM EDT: Is it clear to everyone??? Aznx 5/9/06 7:13:46 PM EDT: Tomorrow? Quicksilver 5/9/06 7:13:48 PM EDT: Yes. bwang8 5/9/06 7:13:59 PM EDT: ok 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 bwang8 5/9/06 7:14:17 PM EDT: ok Quicksilver 5/9/06 7:14:25 PM EDT: Ok. See you tomorrow then. Aznx 5/9/06 7:14:30 PM EDT: So I guess it's farewell for today? bwang8 5/9/06 7:14:33 PM EDT: see you all bwang8 5/9/06 7:14:34 PM EDT: later Quicksilver 5/9/06 7:14:36 PM EDT: Yup. Gerry 5/9/06 7:14:37 PM EDT: Farewell Quicksilver 5/9/06 7:14:38 PM EDT: bye bwang8 5/9/06 7:14:39 PM EDT: bye bwang8 5/9/06 7:14:42 PM EDT: leaves the room Quicksilver 5/9/06 7:14:46 PM EDT: leaves the room Aznx 5/9/06 7:14:47 PM EDT: Bye everyone. =) Aznx 5/9/06 7:14:54 PM EDT: leaves the room Gerry 5/9/06 7:14:59 PM EDT: leaves the room jsarmi 5/9/06 7:15:05 PM EDT: leaves the room jsarmi 5/10/06 10:00:00 AM EDT: joins the room jsarmi 5/10/06 10:51:28 AM EDT: leaves the room tutor 5/10/06 2:14:26 PM EDT: joins the room tutor 5/10/06 2:14:38 PM EDT: rtoledosj 5/10/06 2:27:23 PM EDT: joins the room rtoledosj 5/10/06 2:30:27 PM EDT: leaves the room tutor 5/10/06 2:32:28 PM EDT: joins the room tutor 5/10/06 2:42:47 PM EDT: joins the room tutor 5/10/06 2:47:04 PM EDT: leaves the room tutor 5/10/06 3:08:58 PM EDT: joins the room tutor 5/10/06 3:40:59 PM EDT: leaves the room Gerry 5/10/06 4:23:19 PM EDT: joins the room Gerry 5/10/06 4:23:40 PM EDT: Gerry 5/10/06 4:24:40 PM EDT: Gerry 5/10/06 4:24:45 PM EDT: Gerry 5/10/06 4:24:49 PM EDT: Gerry 5/10/06 4:25:21 PM EDT: Gerry 5/10/06 4:25:24 PM EDT: Gerry 5/10/06 4:25:32 PM EDT: Gerry 5/10/06 4:25:48 PM EDT: Gerry 5/10/06 4:26:33 PM EDT: Gerry 5/10/06 4:27:03 PM EDT: Here is some feedback on your first session Gerry 5/10/06 4:27:15 PM EDT: leaves the room Gerry 5/10/06 6:50:16 PM EDT: joins the room Quicksilver 5/10/06 6:56:23 PM EDT: joins the room Aznx 5/10/06 6:57:30 PM EDT: joins the room Quicksilver 5/10/06 6:58:36 PM EDT: bwang just left the lobby... 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? 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 Quicksilver 5/10/06 7:00:43 PM EDT: I know bwang8 5/10/06 7:00:46 PM EDT: joins the room Quicksilver 5/10/06 7:00:47 PM EDT: but when i'm typing Quicksilver 5/10/06 7:00:48 PM EDT: Quicksilver 5/10/06 7:00:52 PM EDT: how do i take it off then? Gerry 5/10/06 7:01:07 PM EDT: when you are typing, hit the Esc key to get rid of it Quicksilver 5/10/06 7:01:12 PM EDT: ok Quicksilver 5/10/06 7:01:39 PM EDT: Gerry 5/10/06 7:01:41 PM EDT: Hi everyone! bwang8 5/10/06 7:01:47 PM EDT: hello Quicksilver 5/10/06 7:01:54 PM EDT: Hello! bwang8 5/10/06 7:01:56 PM EDT: Gerry 5/10/06 7:02:03 PM EDT: You have some feedback and a new Topic Aznx 5/10/06 7:02:13 PM EDT: Has everyone read the feedback? Quicksilver 5/10/06 7:02:17 PM EDT: yup Quicksilver 5/10/06 7:02:25 PM EDT: NOw we have to discuss bwang8 5/10/06 7:02:28 PM EDT: yes Quicksilver 5/10/06 7:03:01 PM EDT: Well,, the part about converstaion not happening is because of me Quicksilver 5/10/06 7:03:06 PM EDT: my computer was lagging.... Quicksilver 5/10/06 7:03:12 PM EDT: but that's out of our hands Aznx 5/10/06 7:03:17 PM EDT: So, I think we should focus on discussing on each step more. Quicksilver 5/10/06 7:03:30 PM EDT: and explain every answer thoroughly Aznx 5/10/06 7:03:40 PM EDT: Even if the answer was "obvious." bwang8 5/10/06 7:03:48 PM EDT: ok 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 Quicksilver 5/10/06 7:03:58 PM EDT: so thats one thing Quicksilver 5/10/06 7:04:12 PM EDT: maybe think of more ways of doing the same problem? Aznx 5/10/06 7:04:21 PM EDT: Yeah. Aznx 5/10/06 7:04:35 PM EDT: Thinking of more than gneralized idea might help us understand the topic more. Quicksilver 5/10/06 7:04:42 PM EDT: Yes bwang8 5/10/06 7:04:47 PM EDT: ok Quicksilver 5/10/06 7:04:50 PM EDT: Now did you two read today's topic? bwang8 5/10/06 7:05:08 PM EDT: what was your pattern of growth, quicksiler 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 Quicksilver 5/10/06 7:06:37 PM EDT: bwang8 5/10/06 7:06:41 PM EDT: oh, ok Quicksilver 5/10/06 7:06:41 PM EDT: Quicksilver 5/10/06 7:06:43 PM EDT: Quicksilver 5/10/06 7:06:47 PM EDT: Quicksilver 5/10/06 7:06:50 PM EDT: Quicksilver 5/10/06 7:06:57 PM EDT: Quicksilver 5/10/06 7:06:59 PM EDT: Quicksilver 5/10/06 7:07:07 PM EDT: i drew some sqaures Quicksilver 5/10/06 7:07:19 PM EDT: the left one had three new sticks Quicksilver 5/10/06 7:07:33 PM EDT: the right one has a new stick on the bottom and on the right Quicksilver 5/10/06 7:07:39 PM EDT: the top one is from an old square 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 bwang8 5/10/06 7:07:52 PM EDT: Quicksilver 5/10/06 7:07:58 PM EDT: 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 Quicksilver 5/10/06 7:09:25 PM EDT: yea that's wrong Aznx 5/10/06 7:09:33 PM EDT: So let's brainstorm through some problems that we think are challenging. Quicksilver 5/10/06 7:09:40 PM EDT: yes...new topic bwang8 5/10/06 7:09:42 PM EDT: ok Quicksilver 5/10/06 7:10:20 PM EDT: 3-d figures? Quicksilver 5/10/06 7:10:48 PM EDT: Quicksilver 5/10/06 7:10:51 PM EDT: Quicksilver 5/10/06 7:10:53 PM EDT: Quicksilver 5/10/06 7:10:56 PM EDT: Quicksilver 5/10/06 7:10:59 PM EDT: Quicksilver 5/10/06 7:11:02 PM EDT: Aznx 5/10/06 7:11:06 PM EDT: I think we should discuss on the different methods. Aznx 5/10/06 7:11:24 PM EDT: So that we can easily apply our thoughts quickly when seeing a problem. Quicksilver 5/10/06 7:11:30 PM EDT: Yes....but we must find a question or problem to investigate Aznx 5/10/06 7:11:37 PM EDT: Yeah. Quicksilver 5/10/06 7:11:48 PM EDT: Quicksilver 5/10/06 7:11:50 PM EDT: Aznx 5/10/06 7:11:50 PM EDT: I think we should start off with a conjecture, that we need to prove. Quicksilver 5/10/06 7:11:52 PM EDT: Quicksilver 5/10/06 7:11:55 PM EDT: Quicksilver 5/10/06 7:11:57 PM EDT: Aznx 5/10/06 7:12:03 PM EDT: Not a hard one, but one that can be challenging. Quicksilver 5/10/06 7:12:17 PM EDT: Maybe a row of blocks Quicksilver 5/10/06 7:12:27 PM EDT: likethis Aznx 5/10/06 7:12:44 PM EDT: What about them? Quicksilver 5/10/06 7:12:59 PM EDT: The amount of sticks may increase in a pattern? bwang8 5/10/06 7:13:01 PM EDT: The problem from yesterday, but only 3-d Quicksilver 5/10/06 7:13:07 PM EDT: yea i guess Quicksilver 5/10/06 7:13:09 PM EDT: not that good Quicksilver 5/10/06 7:13:18 PM EDT: maybe a pyramind bwang8 5/10/06 7:13:24 PM EDT: yeah Quicksilver 5/10/06 7:13:30 PM EDT: although that's hard to draw bwang8 5/10/06 7:13:35 PM EDT: pryamind is good Aznx 5/10/06 7:13:36 PM EDT: Yeah, I liked that. Quicksilver 5/10/06 7:13:36 PM EDT: but we shoudl be able to managt Quicksilver 5/10/06 7:13:36 PM EDT: e Quicksilver 5/10/06 7:13:41 PM EDT: Quicksilver 5/10/06 7:13:50 PM EDT: Quicksilver 5/10/06 7:13:53 PM EDT: Quicksilver 5/10/06 7:13:55 PM EDT: Quicksilver 5/10/06 7:13:57 PM EDT: Quicksilver 5/10/06 7:13:58 PM EDT: Quicksilver 5/10/06 7:14:00 PM EDT: Quicksilver 5/10/06 7:14:06 PM EDT: Quicksilver 5/10/06 7:14:07 PM EDT: Quicksilver 5/10/06 7:14:10 PM EDT: Quicksilver 5/10/06 7:14:12 PM EDT: Quicksilver 5/10/06 7:14:14 PM EDT: Quicksilver 5/10/06 7:14:16 PM EDT: Quicksilver 5/10/06 7:14:17 PM EDT: Quicksilver 5/10/06 7:14:25 PM EDT: side view bwang8 5/10/06 7:14:56 PM EDT: isn't this the same as yesterday problem Quicksilver 5/10/06 7:15:03 PM EDT: Really? Aznx 5/10/06 7:15:10 PM EDT: Except it's 3-D. Quicksilver 5/10/06 7:15:12 PM EDT: no it's three d bwang8 5/10/06 7:15:16 PM EDT: ok Aznx 5/10/06 7:15:16 PM EDT: So there would be more sticks Aznx 5/10/06 7:15:19 PM EDT: and blocks 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 Aznx 5/10/06 7:16:45 PM EDT: So, how should we approach this? Aznx 5/10/06 7:16:54 PM EDT: What can we use that we already know? Quicksilver 5/10/06 7:16:57 PM EDT: Layer by layer shown in a chart? bwang8 5/10/06 7:17:01 PM EDT: well we can divide it into a front and a back Aznx 5/10/06 7:17:02 PM EDT: I'd suggest yesterday's problem. bwang8 5/10/06 7:17:10 PM EDT: yeah bwang8 5/10/06 7:17:22 PM EDT: using the formula from yesterday's problem bwang8 5/10/06 7:17:32 PM EDT: we can figure the front and back easily Quicksilver 5/10/06 7:17:36 PM EDT: this bwang8 5/10/06 7:17:43 PM EDT: we just need to find the center bwang8 5/10/06 7:18:06 PM EDT: bwang8 5/10/06 7:18:08 PM EDT: bwang8 5/10/06 7:18:10 PM EDT: bwang8 5/10/06 7:18:13 PM EDT: 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 bwang8 5/10/06 7:18:15 PM EDT: bwang8 5/10/06 7:18:21 PM EDT: bwang8 5/10/06 7:18:24 PM EDT: bwang8 5/10/06 7:18:27 PM EDT: bwang8 5/10/06 7:18:30 PM EDT: Quicksilver 5/10/06 7:18:32 PM EDT: I mean like a real pyramid that each layer is completely centered bwang8 5/10/06 7:18:33 PM EDT: bwang8 5/10/06 7:18:35 PM EDT: bwang8 5/10/06 7:18:40 PM EDT: bwang8 5/10/06 7:18:42 PM EDT: Aznx 5/10/06 7:18:44 PM EDT: Draw it. bwang8 5/10/06 7:18:44 PM EDT: Quicksilver 5/10/06 7:18:57 PM EDT: i'll try Quicksilver 5/10/06 7:19:07 PM EDT: Quicksilver 5/10/06 7:19:11 PM EDT: Quicksilver 5/10/06 7:19:14 PM EDT: Quicksilver 5/10/06 7:19:17 PM EDT: Quicksilver 5/10/06 7:19:21 PM EDT: Quicksilver 5/10/06 7:19:24 PM EDT: bwang8 5/10/06 7:19:24 PM EDT: use the rectangle tool, it's easier Quicksilver 5/10/06 7:19:28 PM EDT: Quicksilver 5/10/06 7:19:30 PM EDT: bwang8 5/10/06 7:19:32 PM EDT: Aznx 5/10/06 7:19:32 PM EDT: Yeah. Quicksilver 5/10/06 7:19:33 PM EDT: k bwang8 5/10/06 7:19:35 PM EDT: Quicksilver 5/10/06 7:19:37 PM EDT: Quicksilver 5/10/06 7:19:38 PM EDT: Quicksilver 5/10/06 7:19:44 PM EDT: bwang8 5/10/06 7:19:44 PM EDT: o ic Quicksilver 5/10/06 7:19:46 PM EDT: Quicksilver 5/10/06 7:19:49 PM EDT: top view Quicksilver 5/10/06 7:19:56 PM EDT: Quicksilver 5/10/06 7:19:58 PM EDT: Quicksilver 5/10/06 7:20:01 PM EDT: Quicksilver 5/10/06 7:20:04 PM EDT: Quicksilver 5/10/06 7:20:07 PM EDT: Quicksilver 5/10/06 7:20:09 PM EDT: Quicksilver 5/10/06 7:20:16 PM EDT: something like that bwang8 5/10/06 7:20:19 PM EDT: i c what you mean Quicksilver 5/10/06 7:20:27 PM EDT: do u aznx? Aznx 5/10/06 7:20:30 PM EDT: Since we're both in Spanish class, are you saying something what the Aztecs made? bwang8 5/10/06 7:20:30 PM EDT: this prob is kinda hard Aznx 5/10/06 7:20:41 PM EDT: The pyramid? Quicksilver 5/10/06 7:20:43 PM EDT: I don't know!!! Quicksilver 5/10/06 7:20:46 PM EDT: Probably Aznx 5/10/06 7:20:49 PM EDT: lol Aznx 5/10/06 7:20:51 PM EDT: I get it. Aznx 5/10/06 7:21:00 PM EDT: Quicksilver 5/10/06 7:21:02 PM EDT: Let's go back to original idea: the flat face Aznx 5/10/06 7:21:03 PM EDT: Aznx 5/10/06 7:21:05 PM EDT: Aznx 5/10/06 7:21:07 PM EDT: Quicksilver 5/10/06 7:21:08 PM EDT: then we can try and get this from that Aznx 5/10/06 7:21:09 PM EDT: Aznx 5/10/06 7:21:10 PM EDT: Aznx 5/10/06 7:21:13 PM EDT: Aznx 5/10/06 7:21:14 PM EDT: Aznx 5/10/06 7:21:16 PM EDT: Aznx 5/10/06 7:21:17 PM EDT: Aznx 5/10/06 7:21:20 PM EDT: Aznx 5/10/06 7:21:23 PM EDT: Aznx 5/10/06 7:21:25 PM EDT: Quicksilver 5/10/06 7:21:36 PM EDT: Quicksilver 5/10/06 7:21:42 PM EDT: Quicksilver 5/10/06 7:21:44 PM EDT: bwang8 5/10/06 7:21:46 PM EDT: Quicksilver 5/10/06 7:21:47 PM EDT: Quicksilver 5/10/06 7:21:48 PM EDT: Quicksilver 5/10/06 7:21:49 PM EDT: Quicksilver 5/10/06 7:21:50 PM EDT: Quicksilver 5/10/06 7:21:50 PM EDT: Quicksilver 5/10/06 7:22:06 PM EDT: So we are going back to the flat faced one? Agree? Quicksilver 5/10/06 7:22:07 PM EDT: Aznx 5/10/06 7:22:39 PM EDT: Agree. bwang8 5/10/06 7:22:46 PM EDT: we can first figure out the bottom level Quicksilver 5/10/06 7:22:49 PM EDT: In that case, someone should post the problem on the wiki. bwang8 5/10/06 7:22:50 PM EDT: agree Quicksilver 5/10/06 7:22:59 PM EDT: Yes Quicksilver 5/10/06 7:23:03 PM EDT: the amount of sticks bwang8 5/10/06 7:23:15 PM EDT: bwang8 5/10/06 7:23:17 PM EDT: Aznx 5/10/06 7:23:21 PM EDT: How about bwang8 5/10/06 7:23:29 PM EDT: Quicksilver 5/10/06 7:23:34 PM EDT: How many blocks do we want though? bwang8 5/10/06 7:23:34 PM EDT: 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? bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:50 PM EDT: bwang8 5/10/06 7:23:51 PM EDT: bwang8 5/10/06 7:23:51 PM EDT: bwang8 5/10/06 7:23:56 PM EDT: bwang8 5/10/06 7:23:58 PM EDT: bwang8 5/10/06 7:24:02 PM EDT: Quicksilver 5/10/06 7:24:18 PM EDT: what do u mean? Quicksilver 5/10/06 7:24:20 PM EDT: Quicksilver 5/10/06 7:24:27 PM EDT: Aznx 5/10/06 7:24:30 PM EDT: Aznx 5/10/06 7:24:32 PM EDT: Aznx 5/10/06 7:24:34 PM EDT: Aznx 5/10/06 7:24:36 PM EDT: Aznx 5/10/06 7:24:42 PM EDT: Look at my arrow. Quicksilver 5/10/06 7:24:42 PM EDT: ok Aznx 5/10/06 7:24:49 PM EDT: So you start off with one block. Quicksilver 5/10/06 7:24:52 PM EDT: And that's a top view right Aznx 5/10/06 7:25:00 PM EDT: Yes. Quicksilver 5/10/06 7:25:04 PM EDT: Well there's a problem Quicksilver 5/10/06 7:25:14 PM EDT: Quicksilver 5/10/06 7:25:23 PM EDT: Quicksilver 5/10/06 7:25:28 PM EDT: Aznx 5/10/06 7:25:34 PM EDT: So, the first one has 1 block. Quicksilver 5/10/06 7:25:37 PM EDT: Aznx 5/10/06 7:25:41 PM EDT: and four sticks Quicksilver 5/10/06 7:25:48 PM EDT: first block Aznx 5/10/06 7:25:51 PM EDT: The second one has 5 blocks. Aznx 5/10/06 7:25:59 PM EDT: Wait Quicksilver 5/10/06 7:26:00 PM EDT: no it is 3 Quicksilver 5/10/06 7:26:02 PM EDT: d Aznx 5/10/06 7:26:03 PM EDT: You're doing it wrong. Quicksilver 5/10/06 7:26:04 PM EDT: 3d Aznx 5/10/06 7:26:12 PM EDT: You want to do 3-D? Quicksilver 5/10/06 7:26:27 PM EDT: Bwang8, what are we doing? bwang8 5/10/06 7:26:30 PM EDT: ? bwang8 5/10/06 7:26:41 PM EDT: you are trying to find a pattern bwang8 5/10/06 7:26:53 PM EDT: divide them up into levels Quicksilver 5/10/06 7:27:01 PM EDT: Oh..... Quicksilver 5/10/06 7:27:05 PM EDT: so that is the bottom level Quicksilver 5/10/06 7:27:06 PM EDT: I get it Quicksilver 5/10/06 7:27:18 PM EDT: Quicksilver 5/10/06 7:27:21 PM EDT: Quicksilver 5/10/06 7:27:24 PM EDT: Quicksilver 5/10/06 7:27:26 PM EDT: Quicksilver 5/10/06 7:27:30 PM EDT: Quicksilver 5/10/06 7:27:32 PM EDT: Quicksilver 5/10/06 7:27:32 PM EDT: Quicksilver 5/10/06 7:27:34 PM EDT: Quicksilver 5/10/06 7:27:35 PM EDT: Quicksilver 5/10/06 7:27:35 PM EDT: Quicksilver 5/10/06 7:27:39 PM EDT: Quicksilver 5/10/06 7:27:39 PM EDT: Quicksilver 5/10/06 7:27:42 PM EDT: bwang8 5/10/06 7:27:42 PM EDT: oops bwang8 5/10/06 7:27:45 PM EDT: lol Quicksilver 5/10/06 7:27:45 PM EDT: Quicksilver 5/10/06 7:27:52 PM EDT: what? bwang8 5/10/06 7:27:55 PM EDT: the last level have 9 Quicksilver 5/10/06 7:28:07 PM EDT: yeah Quicksilver 5/10/06 7:28:11 PM EDT: Quicksilver 5/10/06 7:28:15 PM EDT: Quicksilver 5/10/06 7:28:20 PM EDT: Quicksilver 5/10/06 7:28:23 PM EDT: Quicksilver 5/10/06 7:28:27 PM EDT: 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 Quicksilver 5/10/06 7:28:34 PM EDT: Quicksilver 5/10/06 7:28:52 PM EDT: Quicksilver 5/10/06 7:28:58 PM EDT: Quicksilver 5/10/06 7:29:02 PM EDT: Quicksilver 5/10/06 7:29:03 PM EDT: Aznx 5/10/06 7:29:06 PM EDT: Yes. Quicksilver 5/10/06 7:29:07 PM EDT: Aznx 5/10/06 7:29:15 PM EDT: After that, we go up to Nth step. Quicksilver 5/10/06 7:29:20 PM EDT: Yes Quicksilver 5/10/06 7:29:22 PM EDT: Quicksilver 5/10/06 7:29:24 PM EDT: Quicksilver 5/10/06 7:29:26 PM EDT: Quicksilver 5/10/06 7:29:26 PM EDT: Quicksilver 5/10/06 7:29:27 PM EDT: Quicksilver 5/10/06 7:29:28 PM EDT: Quicksilver 5/10/06 7:29:28 PM EDT: Quicksilver 5/10/06 7:29:48 PM EDT: Quicksilver 5/10/06 7:29:53 PM EDT: Quicksilver 5/10/06 7:30:03 PM EDT: Quicksilver 5/10/06 7:30:06 PM EDT: bwang8 5/10/06 7:30:07 PM EDT: ok, how do we figure that out Quicksilver 5/10/06 7:30:12 PM EDT: bwang8 5/10/06 7:30:17 PM EDT: 3*3 blocks Quicksilver 5/10/06 7:30:17 PM EDT: Quicksilver 5/10/06 7:30:26 PM EDT: Break it down Aznx 5/10/06 7:30:27 PM EDT: I'd say look for a pattern. Quicksilver 5/10/06 7:30:30 PM EDT: Aznx 5/10/06 7:30:33 PM EDT: and yes, break it down. Quicksilver 5/10/06 7:30:34 PM EDT: Aznx 5/10/06 7:30:40 PM EDT: What other possible ways are there? Aznx 5/10/06 7:30:44 PM EDT: That we know of? bwang8 5/10/06 7:30:52 PM EDT: top, middle and bottom Quicksilver 5/10/06 7:31:17 PM EDT: Quicksilver 5/10/06 7:31:17 PM EDT: Quicksilver 5/10/06 7:31:19 PM EDT: Quicksilver 5/10/06 7:31:19 PM EDT: Quicksilver 5/10/06 7:31:21 PM EDT: Quicksilver 5/10/06 7:31:21 PM EDT: bwang8 5/10/06 7:31:29 PM EDT: top and bottom are 3 by 3 squares Quicksilver 5/10/06 7:31:33 PM EDT: whoops i drew it wrong Quicksilver 5/10/06 7:31:36 PM EDT: but yes bwang8 5/10/06 7:32:27 PM EDT: do you mind if i erase some yesterday stuff? bwang8 5/10/06 7:32:34 PM EDT: Quicksilver 5/10/06 7:32:34 PM EDT: yea u can do it bwang8 5/10/06 7:32:36 PM EDT: Aznx 5/10/06 7:32:36 PM EDT: Not at all. bwang8 5/10/06 7:32:41 PM EDT: Aznx 5/10/06 7:32:42 PM EDT: You can surely do it. bwang8 5/10/06 7:32:43 PM EDT: bwang8 5/10/06 7:32:44 PM EDT: bwang8 5/10/06 7:32:45 PM EDT: bwang8 5/10/06 7:32:46 PM EDT: bwang8 5/10/06 7:32:47 PM EDT: bwang8 5/10/06 7:32:49 PM EDT: bwang8 5/10/06 7:32:51 PM EDT: bwang8 5/10/06 7:32:52 PM EDT: bwang8 5/10/06 7:32:54 PM EDT: bwang8 5/10/06 7:32:55 PM EDT: bwang8 5/10/06 7:32:56 PM EDT: bwang8 5/10/06 7:32:57 PM EDT: bwang8 5/10/06 7:32:58 PM EDT: bwang8 5/10/06 7:33:00 PM EDT: bwang8 5/10/06 7:33:01 PM EDT: bwang8 5/10/06 7:33:02 PM EDT: bwang8 5/10/06 7:33:05 PM EDT: bwang8 5/10/06 7:33:07 PM EDT: bwang8 5/10/06 7:33:09 PM EDT: bwang8 5/10/06 7:33:12 PM EDT: bwang8 5/10/06 7:33:13 PM EDT: bwang8 5/10/06 7:33:15 PM EDT: bwang8 5/10/06 7:33:18 PM EDT: bwang8 5/10/06 7:33:19 PM EDT: bwang8 5/10/06 7:33:22 PM EDT: bwang8 5/10/06 7:33:24 PM EDT: bwang8 5/10/06 7:33:25 PM EDT: bwang8 5/10/06 7:33:27 PM EDT: bwang8 5/10/06 7:33:30 PM EDT: bwang8 5/10/06 7:33:32 PM EDT: bwang8 5/10/06 7:33:34 PM EDT: bwang8 5/10/06 7:33:36 PM EDT: bwang8 5/10/06 7:33:37 PM EDT: bwang8 5/10/06 7:33:39 PM EDT: bwang8 5/10/06 7:33:40 PM EDT: bwang8 5/10/06 7:33:42 PM EDT: bwang8 5/10/06 7:33:43 PM EDT: bwang8 5/10/06 7:33:45 PM EDT: bwang8 5/10/06 7:33:47 PM EDT: bwang8 5/10/06 7:33:48 PM EDT: bwang8 5/10/06 7:33:57 PM EDT: when they combine bwang8 5/10/06 7:34:05 PM EDT: they make a 3 by 3 square Quicksilver 5/10/06 7:34:08 PM EDT: yes Quicksilver 5/10/06 7:34:14 PM EDT: so just count these bwang8 5/10/06 7:34:28 PM EDT: and the equation for it is 2N(N+1) bwang8 5/10/06 7:34:35 PM EDT: right? bwang8 5/10/06 7:34:38 PM EDT: bwang8 5/10/06 7:34:40 PM EDT: bwang8 5/10/06 7:34:58 PM EDT: N is the level Quicksilver 5/10/06 7:34:59 PM EDT: I don't know Aznx 5/10/06 7:35:04 PM EDT: Prove it. Quicksilver 5/10/06 7:35:11 PM EDT: Where did you get it? Aznx 5/10/06 7:35:16 PM EDT: I'll help you as you go along. Aznx 5/10/06 7:35:27 PM EDT: I kind of get it, but not clearly. bwang8 5/10/06 7:35:27 PM EDT: i mean just from the top and bottom 3 by 3 squares Aznx 5/10/06 7:35:44 PM EDT: Where did the 2 come from? bwang8 5/10/06 7:35:54 PM EDT: this is 3(3+1) Quicksilver 5/10/06 7:36:05 PM EDT: ok Aznx 5/10/06 7:36:05 PM EDT: Ah. Quicksilver 5/10/06 7:36:07 PM EDT: i c Aznx 5/10/06 7:36:08 PM EDT: I get it. bwang8 5/10/06 7:36:10 PM EDT: ok bwang8 5/10/06 7:36:32 PM EDT: so now we get the top and bottom bwang8 5/10/06 7:36:40 PM EDT: we need to find the middle Quicksilver 5/10/06 7:37:14 PM EDT: i don't understand something Quicksilver 5/10/06 7:37:15 PM EDT: Quicksilver 5/10/06 7:37:15 PM EDT: Quicksilver 5/10/06 7:37:15 PM EDT: Quicksilver 5/10/06 7:37:19 PM EDT: sorry\\ Quicksilver 5/10/06 7:37:28 PM EDT: um...what do you mean it is the top and bottom bwang8 5/10/06 7:37:37 PM EDT: oh Quicksilver 5/10/06 7:37:39 PM EDT: it is a pyramid with a flat face right Quicksilver 5/10/06 7:37:45 PM EDT: bwang8 5/10/06 7:37:47 PM EDT: let me explain Quicksilver 5/10/06 7:37:50 PM EDT: bwang8 5/10/06 7:37:53 PM EDT: bwang8 5/10/06 7:37:54 PM EDT: Quicksilver 5/10/06 7:37:56 PM EDT: bwang8 5/10/06 7:37:59 PM EDT: Quicksilver 5/10/06 7:38:01 PM EDT: bwang8 5/10/06 7:38:05 PM EDT: bwang8 5/10/06 7:38:08 PM EDT: bwang8 5/10/06 7:38:11 PM EDT: bwang8 5/10/06 7:38:15 PM EDT: bwang8 5/10/06 7:38:18 PM EDT: bwang8 5/10/06 7:38:22 PM EDT: bwang8 5/10/06 7:38:25 PM EDT: bwang8 5/10/06 7:38:28 PM EDT: bwang8 5/10/06 7:38:30 PM EDT: bwang8 5/10/06 7:38:32 PM EDT: bwang8 5/10/06 7:38:34 PM EDT: bwang8 5/10/06 7:38:36 PM EDT: bwang8 5/10/06 7:38:38 PM EDT: Quicksilver 5/10/06 7:38:38 PM EDT: This face could go againts a wall(this is a top view) bwang8 5/10/06 7:38:48 PM EDT: it is just a way to divide the problem Quicksilver 5/10/06 7:38:57 PM EDT: Quicksilver 5/10/06 7:39:05 PM EDT: so the yellow is the top level? bwang8 5/10/06 7:39:06 PM EDT: bwang8 5/10/06 7:39:07 PM EDT: bwang8 5/10/06 7:39:09 PM EDT: bwang8 5/10/06 7:39:11 PM EDT: bwang8 5/10/06 7:39:12 PM EDT: bwang8 5/10/06 7:39:14 PM EDT: bwang8 5/10/06 7:39:15 PM EDT: bwang8 5/10/06 7:39:17 PM EDT: bwang8 5/10/06 7:39:18 PM EDT: bwang8 5/10/06 7:39:20 PM EDT: Quicksilver 5/10/06 7:39:21 PM EDT: Quicksilver 5/10/06 7:39:27 PM EDT: Quicksilver 5/10/06 7:39:30 PM EDT: Quicksilver 5/10/06 7:39:32 PM EDT: Quicksilver 5/10/06 7:39:35 PM EDT: Quicksilver 5/10/06 7:39:37 PM EDT: bwang8 5/10/06 7:39:45 PM EDT: we are just focusing on the bottommost level Aznx 5/10/06 7:39:54 PM EDT: Yeah. bwang8 5/10/06 7:40:04 PM EDT: and all those edges with scribble on it are the top Quicksilver 5/10/06 7:40:18 PM EDT: So this is against the floor underneath the other two levels bwang8 5/10/06 7:40:35 PM EDT: yes Quicksilver 5/10/06 7:40:43 PM EDT: ok...continue then bwang8 5/10/06 7:41:02 PM EDT: all the vertical lines are consider the middle Quicksilver 5/10/06 7:41:21 PM EDT: ok bwang8 5/10/06 7:41:32 PM EDT: and the rest are the bottom bwang8 5/10/06 7:41:48 PM EDT: which has the same number of sticks as the top Quicksilver 5/10/06 7:42:20 PM EDT: Quicksilver 5/10/06 7:42:23 PM EDT: bwang8 5/10/06 7:42:51 PM EDT: my explanation is pretty bad bwang8 5/10/06 7:43:01 PM EDT: do you understand? Quicksilver 5/10/06 7:43:12 PM EDT: enough to go on with the problem Aznx 5/10/06 7:43:12 PM EDT: I understand it. bwang8 5/10/06 7:43:16 PM EDT: ok Aznx 5/10/06 7:44:27 PM EDT: So what should we do next? Quicksilver 5/10/06 7:44:42 PM EDT: Continue and see if we find any patterns bwang8 5/10/06 7:44:47 PM EDT: i think i got the equation for the middle sticks Quicksilver 5/10/06 7:44:55 PM EDT: All right...lets see bwang8 5/10/06 7:45:00 PM EDT: bwang8 5/10/06 7:45:43 PM EDT: now we know the n by n blocks on the bottom Aznx 5/10/06 7:45:50 PM EDT: Yeah it seems so. bwang8 5/10/06 7:45:54 PM EDT: Quicksilver 5/10/06 7:45:57 PM EDT: yes. bwang8 5/10/06 7:46:30 PM EDT: so we can use recursive equation to figure out n 3d pryamind bwang8 5/10/06 7:46:36 PM EDT: stick number bwang8 5/10/06 7:46:42 PM EDT: lol bwang8 5/10/06 7:46:48 PM EDT: bad grammar Quicksilver 5/10/06 7:46:54 PM EDT: yea Quicksilver 5/10/06 7:46:57 PM EDT: w/e bwang8 5/10/06 7:47:54 PM EDT: bwang8 5/10/06 7:47:58 PM EDT: bwang8 5/10/06 7:48:00 PM EDT: bwang8 5/10/06 7:48:05 PM EDT: bwang8 5/10/06 7:48:06 PM EDT: bwang8 5/10/06 7:48:08 PM EDT: bwang8 5/10/06 7:48:13 PM EDT: bwang8 5/10/06 7:48:22 PM EDT: bwang8 5/10/06 7:48:24 PM EDT: bwang8 5/10/06 7:48:26 PM EDT: bwang8 5/10/06 7:48:28 PM EDT: bwang8 5/10/06 7:48:32 PM EDT: bwang8 5/10/06 7:48:34 PM EDT: bwang8 5/10/06 7:48:36 PM EDT: bwang8 5/10/06 7:48:38 PM EDT: bwang8 5/10/06 7:48:43 PM EDT: bwang8 5/10/06 7:48:44 PM EDT: bwang8 5/10/06 7:48:47 PM EDT: bwang8 5/10/06 7:48:48 PM EDT: bwang8 5/10/06 7:48:50 PM EDT: bwang8 5/10/06 7:48:51 PM EDT: bwang8 5/10/06 7:48:52 PM EDT: bwang8 5/10/06 7:48:53 PM EDT: bwang8 5/10/06 7:48:55 PM EDT: bwang8 5/10/06 7:48:56 PM EDT: bwang8 5/10/06 7:48:58 PM EDT: Quicksilver 5/10/06 7:48:58 PM EDT: Ahh... I forgot how to solve that thing...We learned it like two months ago bwang8 5/10/06 7:49:02 PM EDT: bwang8 5/10/06 7:49:07 PM EDT: bwang8 5/10/06 7:49:08 PM EDT: Quicksilver 5/10/06 7:49:09 PM EDT: Could someone remind me bwang8 5/10/06 7:49:09 PM EDT: bwang8 5/10/06 7:49:10 PM EDT: bwang8 5/10/06 7:49:12 PM EDT: bwang8 5/10/06 7:49:13 PM EDT: bwang8 5/10/06 7:49:15 PM EDT: bwang8 5/10/06 7:49:21 PM EDT: bwang8 5/10/06 7:49:23 PM EDT: bwang8 5/10/06 7:49:50 PM EDT: i don't know if this equation is right Aznx 5/10/06 7:50:04 PM EDT: I don't exactly remember either. :P bwang8 5/10/06 7:50:09 PM EDT: the top n is the highest Quicksilver 5/10/06 7:50:18 PM EDT: It goes up by one every time because n=1 rite? bwang8 5/10/06 7:50:38 PM EDT: no, n start at 1 Quicksilver 5/10/06 7:50:46 PM EDT: oh yeah!!! bwang8 5/10/06 7:50:46 PM EDT: this is a recursive function Quicksilver 5/10/06 7:50:46 PM EDT: bwang8 5/10/06 7:51:26 PM EDT: when n=1, plug 1 into the right equation\\ Quicksilver 5/10/06 7:51:40 PM EDT: 12? 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 Quicksilver 5/10/06 7:52:13 PM EDT: Oh...so u add the thing that came before bwang8 5/10/06 7:52:17 PM EDT: yes bwang8 5/10/06 7:52:31 PM EDT: 12 is right bwang8 5/10/06 7:52:54 PM EDT: since when there is only one cube the number of sticks is 122 bwang8 5/10/06 7:53:00 PM EDT: i mean 12 Quicksilver 5/10/06 7:53:04 PM EDT: lol Aznx 5/10/06 7:53:07 PM EDT: I get it now. Aznx 5/10/06 7:53:09 PM EDT: lol bwang8 5/10/06 7:53:10 PM EDT: ok bwang8 5/10/06 7:53:26 PM EDT: lol bwang8 5/10/06 7:53:39 PM EDT: i think we solved the problem, didn't we Quicksilver 5/10/06 7:53:54 PM EDT: But doesn't each cube have 4 sticks in common with another? Quicksilver 5/10/06 7:54:19 PM EDT: Quicksilver 5/10/06 7:54:24 PM EDT: bwang8 5/10/06 7:54:24 PM EDT: yes Quicksilver 5/10/06 7:54:30 PM EDT: Quicksilver 5/10/06 7:54:33 PM EDT: Quicksilver 5/10/06 7:54:36 PM EDT: bwang8 5/10/06 7:54:36 PM EDT: on the second level Quicksilver 5/10/06 7:54:40 PM EDT: bwang8 5/10/06 7:54:40 PM EDT: where n =2 Quicksilver 5/10/06 7:54:43 PM EDT: Quicksilver 5/10/06 7:54:49 PM EDT: no but one the bottom level bwang8 5/10/06 7:54:50 PM EDT: plug it into the equation Quicksilver 5/10/06 7:54:52 PM EDT: Quicksilver 5/10/06 7:54:55 PM EDT: Quicksilver 5/10/06 7:54:57 PM EDT: Quicksilver 5/10/06 7:54:59 PM EDT: Quicksilver 5/10/06 7:55:01 PM EDT: Quicksilver 5/10/06 7:55:06 PM EDT: Quicksilver 5/10/06 7:55:09 PM EDT: Quicksilver 5/10/06 7:55:35 PM EDT: the middle ones are common within every two cubes....aren't we overcounting then? bwang8 5/10/06 7:55:39 PM EDT: and you get 21 bwang8 5/10/06 7:55:48 PM EDT: yes bwang8 5/10/06 7:56:12 PM EDT: is this the second level? Quicksilver 5/10/06 7:56:20 PM EDT: on any level bwang8 5/10/06 7:56:26 PM EDT: yes bwang8 5/10/06 7:56:39 PM EDT: you only need to know the nth level Quicksilver 5/10/06 7:56:53 PM EDT: ok bwang8 5/10/06 7:57:01 PM EDT: plug the level number into the right side equation Quicksilver 5/10/06 7:57:03 PM EDT: sorry about that Quicksilver 5/10/06 7:57:11 PM EDT: yea Quicksilver 5/10/06 7:57:12 PM EDT: i get it bwang8 5/10/06 7:57:19 PM EDT: and you can get the number of sticks needed to make that level bwang8 5/10/06 7:57:21 PM EDT: ok bwang8 5/10/06 7:57:39 PM EDT: no problem Quicksilver 5/10/06 7:57:45 PM EDT: so we have to go to the wiki now bwang8 5/10/06 7:58:24 PM EDT: does anyone know who to but a calculas? equation into wiki bwang8 5/10/06 7:58:36 PM EDT: how bwang8 5/10/06 7:58:43 PM EDT: put Aznx 5/10/06 7:58:50 PM EDT: i dont know Quicksilver 5/10/06 7:58:55 PM EDT: ask gerry bwang8 5/10/06 7:59:01 PM EDT: Gerry bwang8 5/10/06 7:59:12 PM EDT: are you there? Aznx 5/10/06 7:59:17 PM EDT: He's there. Aznx 5/10/06 7:59:20 PM EDT: He's typing. Gerry 5/10/06 7:59:21 PM EDT: Can u use words bwang8 5/10/06 7:59:21 PM EDT: k Gerry 5/10/06 7:59:49 PM EDT: Like Sum[Sticks(N-1)] Quicksilver 5/10/06 7:59:58 PM EDT: Ok bwang8 5/10/06 8:00:55 PM EDT: how would we put it then? Quicksilver 5/10/06 8:01:03 PM EDT: so our equation Quicksilver 5/10/06 8:01:11 PM EDT: no first lets state our problem bwang8 5/10/06 8:01:49 PM EDT: The number of sticks to make a N level pryamind bwang8 5/10/06 8:02:04 PM EDT: ? Aznx 5/10/06 8:02:17 PM EDT: Yeah, that's our question. Quicksilver 5/10/06 8:02:56 PM EDT: Err... Quicksilver 5/10/06 8:03:03 PM EDT: I kind of put somethingt different Quicksilver 5/10/06 8:03:04 PM EDT: Quicksilver 5/10/06 8:03:09 PM EDT: But it's similar Aznx 5/10/06 8:03:24 PM EDT: Wait, do we all have to put it in? Aznx 5/10/06 8:03:30 PM EDT: Only one of us right? Quicksilver 5/10/06 8:03:39 PM EDT: ok its fixed Quicksilver 5/10/06 8:03:47 PM EDT: i had 3 levels but i changed it to n bwang8 5/10/06 8:03:52 PM EDT: ok Quicksilver 5/10/06 8:03:55 PM EDT: yeah bwang8 5/10/06 8:04:00 PM EDT: it is great Quicksilver 5/10/06 8:04:03 PM EDT: you guys can add on Quicksilver 5/10/06 8:04:08 PM EDT: i just put the basic Quicksilver 5/10/06 8:04:20 PM EDT: Maybe share our results? Aznx 5/10/06 8:04:53 PM EDT: We technically had the same result. Quicksilver 5/10/06 8:05:07 PM EDT: Whaddya mean? Quicksilver 5/10/06 8:05:21 PM EDT: oh as yesterday? Aznx 5/10/06 8:05:31 PM EDT: Yeah. Aznx 5/10/06 8:05:36 PM EDT: And today. Quicksilver 5/10/06 8:05:40 PM EDT: Still... Aznx 5/10/06 8:05:43 PM EDT: Well today was really a discussion. Quicksilver 5/10/06 8:05:46 PM EDT: we should say that' Aznx 5/10/06 8:05:52 PM EDT: Not finding an answer, although we did. =P Aznx 5/10/06 8:06:01 PM EDT: Say what? Quicksilver 5/10/06 8:06:09 PM EDT: bwang what do you say we add to the wiki? Quicksilver 5/10/06 8:06:21 PM EDT: we should say we got the same answer Aznx 5/10/06 8:06:30 PM EDT: Yeah. Quicksilver 5/10/06 8:06:39 PM EDT: That may mean these types of problems all are similar in one way bwang8 5/10/06 8:06:39 PM EDT: maybe add that the previous level is 1 more in dimension than the next level Aznx 5/10/06 8:06:55 PM EDT: Wait, who is submitting? Aznx 5/10/06 8:06:57 PM EDT: bwang? bwang8 5/10/06 8:06:59 PM EDT: tell them the intervals between levels Aznx 5/10/06 8:07:06 PM EDT: or quicksilver, or me? bwang8 5/10/06 8:07:08 PM EDT: sorry, i am bad with words Quicksilver 5/10/06 8:07:14 PM EDT: So am i Aznx 5/10/06 8:07:15 PM EDT: Not to worry. Aznx 5/10/06 8:07:21 PM EDT: We should write it out Aznx 5/10/06 8:07:22 PM EDT: here Quicksilver 5/10/06 8:07:24 PM EDT: Aznx to the rescue lol Aznx 5/10/06 8:07:26 PM EDT: Together Quicksilver 5/10/06 8:07:30 PM EDT: sure Aznx 5/10/06 8:07:30 PM EDT: No not that Quicksilver 5/10/06 8:07:34 PM EDT: a conclusion Aznx 5/10/06 8:07:34 PM EDT: Yeah lol bwang8 5/10/06 8:07:36 PM EDT: yeah Aznx 5/10/06 8:07:51 PM EDT: So first, we started off with the basic problem. Aznx 5/10/06 8:07:57 PM EDT: and changed it to a 3-D problem Aznx 5/10/06 8:08:02 PM EDT: to make it more challenging Quicksilver 5/10/06 8:08:04 PM EDT: Yea 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 Aznx 5/10/06 8:08:42 PM EDT: Then, we recognized the 2N(N+1) pattern in the middle area Quicksilver 5/10/06 8:08:44 PM EDT: That was one strategy\\ Aznx 5/10/06 8:08:54 PM EDT: that's our second: finding a pattern Quicksilver 5/10/06 8:08:55 PM EDT: dividing it Quicksilver 5/10/06 8:08:59 PM EDT: yes Aznx 5/10/06 8:09:07 PM EDT: Finally, we used the recursion method to figure out the obttom area, Quicksilver 5/10/06 8:09:15 PM EDT: obttom? bwang8 5/10/06 8:09:16 PM EDT: Aznx 5/10/06 8:09:19 PM EDT: So that's three strategies right there. Aznx 5/10/06 8:09:32 PM EDT: I meant bottom Quicksilver 5/10/06 8:09:37 PM EDT: oh!! Quicksilver 5/10/06 8:09:41 PM EDT: ha i should have gotten ikt Aznx 5/10/06 8:09:50 PM EDT: ikt? lol Quicksilver 5/10/06 8:09:55 PM EDT: it Aznx 5/10/06 8:09:58 PM EDT: i know Aznx 5/10/06 8:10:01 PM EDT: i was joking =P Quicksilver 5/10/06 8:10:06 PM EDT: anyway...how do we put this on the wiki bwang8 5/10/06 8:10:07 PM EDT: are we putting these on wiki Aznx 5/10/06 8:10:12 PM EDT: Yes. bwang8 5/10/06 8:10:19 PM EDT: ok 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, Aznx 5/10/06 8:10:36 PM EDT: Agreed? 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 Quicksilver 5/10/06 8:10:59 PM EDT: agreed Quicksilver 5/10/06 8:11:15 PM EDT: but we do understand it now Quicksilver 5/10/06 8:11:18 PM EDT: that's important Aznx 5/10/06 8:11:28 PM EDT: Well, we should just say we wanted to explore yesterday's problem more. Quicksilver 5/10/06 8:11:29 PM EDT: maybe we can apply it next time...who knows? Aznx 5/10/06 8:11:32 PM EDT: Yes, we do. bwang8 5/10/06 8:11:32 PM EDT: ok bwang8 5/10/06 8:12:06 PM EDT: we can use the strategy we used to solve this problem to solve future problems bwang8 5/10/06 8:12:31 PM EDT: the method is important bwang8 5/10/06 8:12:36 PM EDT: not the answer Aznx 5/10/06 8:12:48 PM EDT: Yup. Quicksilver 5/10/06 8:12:49 PM EDT: definiteyly Aznx 5/10/06 8:12:56 PM EDT: Always learned that whereever I learned math. =P bwang8 5/10/06 8:13:05 PM EDT: we learn that divide the problem up can make it simpler and easier to solve Quicksilver 5/10/06 8:13:09 PM EDT: so bwang...are you updating the wiki? Quicksilver 5/10/06 8:13:14 PM EDT: yea Aznx 5/10/06 8:13:21 PM EDT: we also learned finding a pattern is a good step Quicksilver 5/10/06 8:13:39 PM EDT: yes and we could have also started with a simpler problem Quicksilver 5/10/06 8:13:42 PM EDT: in fact...we did 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 Quicksilver 5/10/06 8:13:48 PM EDT: yesterday's problem was simpler Aznx 5/10/06 8:13:52 PM EDT: yes, we did! Aznx 5/10/06 8:14:00 PM EDT: so we actually used 4 strategies =D Quicksilver 5/10/06 8:14:12 PM EDT: yes 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. 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. Quicksilver 5/10/06 8:15:13 PM EDT: mmhmm Quicksilver 5/10/06 8:15:32 PM EDT: we related it to something we knew Gerry 5/10/06 8:15:46 PM EDT: So, can you all come back here at the same time next Tuesday? Quicksilver 5/10/06 8:15:51 PM EDT: yes Aznx 5/10/06 8:16:13 PM EDT: Yes. bwang8 5/10/06 8:16:15 PM EDT: next tuesday? bwang8 5/10/06 8:16:28 PM EDT: don't we have a session this firday? Quicksilver 5/10/06 8:16:37 PM EDT: no Gerry 5/10/06 8:16:57 PM EDT: no, we did it today instead of Thursday bwang8 5/10/06 8:17:15 PM EDT: o Gerry 5/10/06 8:17:44 PM EDT: Then we should do it again next Tuesday and next Thursday at the same time Quicksilver 5/10/06 8:17:58 PM EDT: Yea...too bad there are only two more days Quicksilver 5/10/06 8:18:04 PM EDT: this is very fun Aznx 5/10/06 8:18:13 PM EDT: Only two more days??!!! bwang8 5/10/06 8:18:15 PM EDT: oh bwang8 5/10/06 8:18:17 PM EDT: ok bwang8 5/10/06 8:18:29 PM EDT: this is great Aznx 5/10/06 8:18:36 PM EDT: Yeah, I personally love it. Gerry 5/10/06 8:18:41 PM EDT: We can talk about doing more after next week Quicksilver 5/10/06 8:18:41 PM EDT: same Quicksilver 5/10/06 8:18:46 PM EDT: ok Aznx 5/10/06 8:18:47 PM EDT: Ok. Aznx 5/10/06 8:18:54 PM EDT: Farewell for now I guess? Quicksilver 5/10/06 8:19:04 PM EDT: But for today I guess we are done Quicksilver 5/10/06 8:19:20 PM EDT: I'll just update the wiki a bit more Gerry 5/10/06 8:19:22 PM EDT: If anything comes up, you can come back in this room and send an email Gerry 5/10/06 8:19:50 PM EDT: The Send Mail button next to the View Topic button lets you do that bwang8 5/10/06 8:20:14 PM EDT: ok Aznx 5/10/06 8:20:20 PM EDT: Alright. Gerry 5/10/06 8:20:24 PM EDT: just check the members box Quicksilver 5/10/06 8:20:33 PM EDT: ok Gerry 5/10/06 8:20:51 PM EDT: Have a great weekend and look for patterns in the world Quicksilver 5/10/06 8:20:59 PM EDT: thanks Aznx 5/10/06 8:21:12 PM EDT: Thanks, and see you all on Tuesday. Quicksilver 5/10/06 8:21:26 PM EDT: Ok.....bye all Gerry 5/10/06 8:21:34 PM EDT: leaves the room Aznx 5/10/06 8:21:36 PM EDT: leaves the room Quicksilver 5/10/06 8:21:38 PM EDT: leaves the room bwang8 5/10/06 8:21:52 PM EDT: check the wiki page Quicksilver 5/10/06 8:22:26 PM EDT: joins the room Quicksilver 5/10/06 8:22:45 PM EDT: leaves the room bwang8 5/10/06 8:22:50 PM EDT: i can't get any message bwang8 5/10/06 8:22:56 PM EDT: they are delayed bwang8 5/10/06 8:23:01 PM EDT: i think i miss some bwang8 5/10/06 8:23:38 PM EDT: leaves the room tutor 5/11/06 3:44:25 PM EDT: joins the room tutor 5/11/06 4:16:06 PM EDT: leaves the room Quicksilver 5/12/06 11:21:06 PM EDT: joins the room Quicksilver 5/12/06 11:21:45 PM EDT: Quicksilver 5/12/06 11:22:04 PM EDT: leaves the room Gerry 5/15/06 5:02:09 PM EDT: joins the room Gerry 5/15/06 5:05:42 PM EDT: Gerry 5/15/06 5:06:06 PM EDT: Gerry 5/15/06 5:40:41 PM EDT: Gerry 5/15/06 5:44:21 PM EDT: Gerry 5/15/06 5:44:40 PM EDT: Gerry 5/15/06 5:44:50 PM EDT: Gerry 5/15/06 5:44:54 PM EDT: Gerry 5/15/06 5:44:58 PM EDT: Gerry 5/15/06 5:45:15 PM EDT: Gerry 5/15/06 5:45:39 PM EDT: Gerry 5/15/06 5:45:57 PM EDT: Gerry 5/15/06 5:46:26 PM EDT: Gerry 5/15/06 5:46:34 PM EDT: Gerry 5/15/06 5:46:40 PM EDT: Gerry 5/15/06 5:46:47 PM EDT: Gerry 5/15/06 5:46:55 PM EDT: Gerry 5/15/06 5:46:59 PM EDT: Gerry 5/15/06 5:47:02 PM EDT: Gerry 5/15/06 5:47:07 PM EDT: Gerry 5/15/06 5:47:24 PM EDT: Gerry 5/15/06 5:47:26 PM EDT: Gerry 5/15/06 5:58:13 PM EDT: Gerry 5/15/06 5:58:19 PM EDT: Gerry 5/15/06 6:01:06 PM EDT: Gerry 5/15/06 6:03:51 PM EDT: Gerry 5/15/06 6:04:58 PM EDT: Here is some feedback on your work last session. Gerry 5/15/06 7:26:09 PM EDT: leaves the room Gerry 5/16/06 11:38:01 AM EDT: joins the room Gerry 5/16/06 3:26:03 PM EDT: leaves the room Aznx 5/16/06 6:35:54 PM EDT: joins the room Gerry 5/16/06 6:36:27 PM EDT: joins the room Quicksilver 5/16/06 6:55:05 PM EDT: joins the room Aznx 5/16/06 7:01:43 PM EDT: Did you fnish reading the netire feedback yet? =P bwang8 5/16/06 7:03:32 PM EDT: joins the room Gerry 5/16/06 7:04:09 PM EDT: Hi Quicksilver! Quicksilver 5/16/06 7:04:18 PM EDT: yes Quicksilver 5/16/06 7:04:25 PM EDT: Hi Aznx 5/16/06 7:04:31 PM EDT: bwang I suppose you're done as well? bwang8 5/16/06 7:04:41 PM EDT: yes Aznx 5/16/06 7:04:45 PM EDT: Alright. Aznx 5/16/06 7:04:49 PM EDT: What do you think? Aznx 5/16/06 7:04:53 PM EDT: About the feedback? Quicksilver 5/16/06 7:05:00 PM EDT: What did it mean by two flat sides? Quicksilver 5/16/06 7:05:12 PM EDT: How would a pyramid have two flat sides? Quicksilver 5/16/06 7:05:36 PM EDT: Actually....lets erase some stuff from the whiteboard Aznx 5/16/06 7:05:42 PM EDT: Yeah. bwang8 5/16/06 7:05:50 PM EDT: Aznx 5/16/06 7:05:51 PM EDT: It gets crowded too much every session lol. Quicksilver 5/16/06 7:05:57 PM EDT: NO!!! Quicksilver 5/16/06 7:06:04 PM EDT: That was this sessions's comments bwang8 5/16/06 7:06:10 PM EDT: ? Aznx 5/16/06 7:06:15 PM EDT: Greg can you get it back for us? Quicksilver 5/16/06 7:06:20 PM EDT: Oh never mind Quicksilver 5/16/06 7:06:24 PM EDT: you moved it to the side Aznx 5/16/06 7:06:26 PM EDT: Oh Aznx 5/16/06 7:06:32 PM EDT: Lol bwang8 5/16/06 7:06:36 PM EDT: yeah bwang8 5/16/06 7:06:39 PM EDT: lol Quicksilver 5/16/06 7:06:46 PM EDT: yea i didn't see that Gerry 5/16/06 7:06:50 PM EDT: lol! Quicksilver 5/16/06 7:07:13 PM EDT: Oh yeah aznx...his name is gerry not greg Aznx 5/16/06 7:07:19 PM EDT: Oopsa 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 Quicksilver 5/16/06 7:07:22 PM EDT: Quicksilver 5/16/06 7:07:23 PM EDT: Quicksilver 5/16/06 7:07:26 PM EDT: Quicksilver 5/16/06 7:07:29 PM EDT: Quicksilver 5/16/06 7:07:30 PM EDT: Quicksilver 5/16/06 7:07:31 PM EDT: Quicksilver 5/16/06 7:07:32 PM EDT: Quicksilver 5/16/06 7:07:33 PM EDT: Quicksilver 5/16/06 7:07:34 PM EDT: Quicksilver 5/16/06 7:07:35 PM EDT: Quicksilver 5/16/06 7:07:35 PM EDT: Quicksilver 5/16/06 7:07:37 PM EDT: Quicksilver 5/16/06 7:07:38 PM EDT: Quicksilver 5/16/06 7:07:41 PM EDT: Quicksilver 5/16/06 7:07:42 PM EDT: Aznx 5/16/06 7:07:44 PM EDT: What's with the squares? Quicksilver 5/16/06 7:07:45 PM EDT: Quicksilver 5/16/06 7:07:48 PM EDT: Quicksilver 5/16/06 7:07:51 PM EDT: yeah Quicksilver 5/16/06 7:07:58 PM EDT: Quicksilver 5/16/06 7:08:00 PM EDT: Quicksilver 5/16/06 7:08:01 PM EDT: Quicksilver 5/16/06 7:08:01 PM EDT: Quicksilver 5/16/06 7:08:01 PM EDT: bwang8 5/16/06 7:08:03 PM EDT: i think that's for each black board action Gerry 5/16/06 7:08:10 PM EDT: Yeah -- I don't know either Quicksilver 5/16/06 7:08:20 PM EDT: every time i dleted a line a square came Aznx 5/16/06 7:08:21 PM EDT: Let's just ignore it. Quicksilver 5/16/06 7:08:25 PM EDT: yes bwang8 5/16/06 7:08:32 PM EDT: bwang8 5/16/06 7:08:36 PM EDT: bwang8 5/16/06 7:08:39 PM EDT: Quicksilver 5/16/06 7:08:43 PM EDT: can i delete first session's comments? bwang8 5/16/06 7:08:43 PM EDT: yep Quicksilver 5/16/06 7:08:50 PM EDT: Aznx 5/16/06 7:08:51 PM EDT: Quicksilver 5/16/06 7:08:56 PM EDT: Aznx 5/16/06 7:08:56 PM EDT: Quicksilver 5/16/06 7:08:57 PM EDT: Aznx 5/16/06 7:08:58 PM EDT: Quicksilver 5/16/06 7:08:59 PM EDT: Quicksilver 5/16/06 7:09:00 PM EDT: Quicksilver 5/16/06 7:09:00 PM EDT: Aznx 5/16/06 7:09:01 PM EDT: Quicksilver 5/16/06 7:09:01 PM EDT: Quicksilver 5/16/06 7:09:03 PM EDT: Quicksilver 5/16/06 7:09:04 PM EDT: Quicksilver 5/16/06 7:09:09 PM EDT: Aznx 5/16/06 7:09:10 PM EDT: bwang8 5/16/06 7:09:19 PM EDT: the squares tell you who is doing each action Quicksilver 5/16/06 7:09:28 PM EDT: oh bwang8 5/16/06 7:09:30 PM EDT: Aznx 5/16/06 7:09:32 PM EDT: Can someone remove that whiteboard? bwang8 5/16/06 7:09:33 PM EDT: Quicksilver 5/16/06 7:09:46 PM EDT: the enitre whiteboard? Quicksilver 5/16/06 7:09:54 PM EDT: bwang8 5/16/06 7:10:25 PM EDT: bwang8 5/16/06 7:10:30 PM EDT: Quicksilver 5/16/06 7:10:32 PM EDT: bwang8 5/16/06 7:10:32 PM EDT: Quicksilver 5/16/06 7:10:33 PM EDT: Aznx 5/16/06 7:10:34 PM EDT: Ok. Quicksilver 5/16/06 7:10:35 PM EDT: Quicksilver 5/16/06 7:10:36 PM EDT: Quicksilver 5/16/06 7:10:37 PM EDT: bwang8 5/16/06 7:10:40 PM EDT: bwang8 5/16/06 7:10:42 PM EDT: Aznx 5/16/06 7:10:44 PM EDT: So let's go back to the feedback discussion. bwang8 5/16/06 7:10:46 PM EDT: Quicksilver 5/16/06 7:10:51 PM EDT: so we have to explain our formula more Aznx 5/16/06 7:10:55 PM EDT: How do you think we could've improved? bwang8 5/16/06 7:10:55 PM EDT: Aznx 5/16/06 7:10:58 PM EDT: What else? bwang8 5/16/06 7:10:59 PM EDT: bwang8 5/16/06 7:11:01 PM EDT: Aznx 5/16/06 7:11:17 PM EDT: I personally saw last time as a great experience to use so amny solving techniques. Aznx 5/16/06 7:11:31 PM EDT: Excuse my spelling errors. Quicksilver 5/16/06 7:11:48 PM EDT: yes, but at the same time we could have followed up the problem Quicksilver 5/16/06 7:11:52 PM EDT: like the suggestions Quicksilver 5/16/06 7:11:57 PM EDT: if it had 2 flat sides bwang8 5/16/06 7:12:06 PM EDT: what does it mean? Quicksilver 5/16/06 7:12:22 PM EDT: I personally don't get the two flat sides Quicksilver 5/16/06 7:12:29 PM EDT: I don't know how a pyrmaid would do that Quicksilver 5/16/06 7:13:02 PM EDT: Quicksilver 5/16/06 7:13:05 PM EDT: Quicksilver 5/16/06 7:13:06 PM EDT: Quicksilver 5/16/06 7:13:07 PM EDT: Quicksilver 5/16/06 7:13:07 PM EDT: Quicksilver 5/16/06 7:13:08 PM EDT: Quicksilver 5/16/06 7:13:13 PM EDT: Quicksilver 5/16/06 7:13:14 PM EDT: Gerry 5/16/06 7:13:22 PM EDT: Imagine stacking the blocks in a corner of a room, against the walls Gerry 5/16/06 7:13:22 PM EDT: Quicksilver 5/16/06 7:13:33 PM EDT: Oh Quicksilver 5/16/06 7:13:35 PM EDT: I see bwang8 5/16/06 7:13:36 PM EDT: ok Quicksilver 5/16/06 7:13:41 PM EDT: So.....ok Quicksilver 5/16/06 7:13:57 PM EDT: Quicksilver 5/16/06 7:14:01 PM EDT: Quicksilver 5/16/06 7:14:06 PM EDT: Quicksilver 5/16/06 7:14:08 PM EDT: Quicksilver 5/16/06 7:14:08 PM EDT: Quicksilver 5/16/06 7:14:10 PM EDT: Quicksilver 5/16/06 7:14:21 PM EDT: bwang8 5/16/06 7:14:29 PM EDT: The equation would still be the same, right? Quicksilver 5/16/06 7:14:29 PM EDT: Quicksilver 5/16/06 7:14:32 PM EDT: Quicksilver 5/16/06 7:14:40 PM EDT: Quicksilver 5/16/06 7:14:46 PM EDT: I think so bwang8 5/16/06 7:14:47 PM EDT: because there are the same number of cube each level Quicksilver 5/16/06 7:14:50 PM EDT: but lets explain that Quicksilver 5/16/06 7:14:58 PM EDT: bcuz that was in the feedback too Quicksilver 5/16/06 7:15:09 PM EDT: Aznx 5/16/06 7:15:13 PM EDT: It would make sense to me that the formula is the same. Quicksilver 5/16/06 7:15:19 PM EDT: Aznx 5/16/06 7:15:23 PM EDT: But I don't see why it should either. Quicksilver 5/16/06 7:15:23 PM EDT: Quicksilver 5/16/06 7:15:28 PM EDT: Aznx 5/16/06 7:15:31 PM EDT: I can't find a specific explanation. Quicksilver 5/16/06 7:15:33 PM EDT: Quicksilver 5/16/06 7:15:36 PM EDT: Quicksilver 5/16/06 7:15:40 PM EDT: Quicksilver 5/16/06 7:15:47 PM EDT: Quicksilver 5/16/06 7:15:50 PM EDT: Aznx 5/16/06 7:15:51 PM EDT: I mean, there should technically be some changes right? Quicksilver 5/16/06 7:15:53 PM EDT: Quicksilver 5/16/06 7:15:55 PM EDT: Aznx 5/16/06 7:15:56 PM EDT: Or maybe not... Quicksilver 5/16/06 7:16:00 PM EDT: Quicksilver 5/16/06 7:16:02 PM EDT: Quicksilver 5/16/06 7:16:04 PM EDT: Quicksilver 5/16/06 7:16:06 PM EDT: Quicksilver 5/16/06 7:16:08 PM EDT: Aznx 5/16/06 7:16:10 PM EDT: Let's sovle it. :P Quicksilver 5/16/06 7:16:11 PM EDT: Quicksilver 5/16/06 7:16:14 PM EDT: bwang8 5/16/06 7:16:20 PM EDT: Quicksilver 5/16/06 7:16:20 PM EDT: Excuse my poor drawings Quicksilver 5/16/06 7:16:25 PM EDT: Quicksilver 5/16/06 7:16:27 PM EDT: Quicksilver 5/16/06 7:16:28 PM EDT: Quicksilver 5/16/06 7:16:31 PM EDT: Quicksilver 5/16/06 7:16:35 PM EDT: Quicksilver 5/16/06 7:16:37 PM EDT: Quicksilver 5/16/06 7:16:39 PM EDT: Quicksilver 5/16/06 7:16:41 PM EDT: Quicksilver 5/16/06 7:16:43 PM EDT: Quicksilver 5/16/06 7:16:47 PM EDT: Gerry 5/16/06 7:16:47 PM EDT: What does the feedback say about the difference this would make? Quicksilver 5/16/06 7:16:51 PM EDT: Quicksilver 5/16/06 7:16:52 PM EDT: Quicksilver 5/16/06 7:16:54 PM EDT: Quicksilver 5/16/06 7:16:55 PM EDT: Quicksilver 5/16/06 7:16:56 PM EDT: Quicksilver 5/16/06 7:16:57 PM EDT: Quicksilver 5/16/06 7:17:02 PM EDT: Quicksilver 5/16/06 7:17:06 PM EDT: Quicksilver 5/16/06 7:17:07 PM EDT: Aznx 5/16/06 7:17:17 PM EDT: There would be a similar sharing in between the layers. Aznx 5/16/06 7:17:26 PM EDT: So the number would technically be bigger. bwang8 5/16/06 7:17:31 PM EDT: oooh Quicksilver 5/16/06 7:17:38 PM EDT: Yes Quicksilver 5/16/06 7:17:48 PM EDT: Each layer is broken up separately bwang8 5/16/06 7:18:01 PM EDT: so each layer would be missing a bottom, other than the bottommost layer bwang8 5/16/06 7:18:11 PM EDT: right? Quicksilver 5/16/06 7:18:17 PM EDT: How Quicksilver 5/16/06 7:18:21 PM EDT: I don't think so Aznx 5/16/06 7:18:29 PM EDT: Yeah, I don't think so either. Quicksilver 5/16/06 7:18:30 PM EDT: Well....are the layers vertical or horizontal Quicksilver 5/16/06 7:18:43 PM EDT: Quicksilver 5/16/06 7:18:45 PM EDT: Quicksilver 5/16/06 7:18:49 PM EDT: Quicksilver 5/16/06 7:18:51 PM EDT: Quicksilver 5/16/06 7:18:52 PM EDT: Quicksilver 5/16/06 7:18:56 PM EDT: Quicksilver 5/16/06 7:18:57 PM EDT: Aznx 5/16/06 7:18:58 PM EDT: Let's start off with only 1 block in the first layer. Aznx 5/16/06 7:19:02 PM EDT: So there one block. Quicksilver 5/16/06 7:19:08 PM EDT: bwang8 5/16/06 7:19:08 PM EDT: ok Aznx 5/16/06 7:19:10 PM EDT: Then next turn it turn into three. Aznx 5/16/06 7:19:17 PM EDT: And then 5. Quicksilver 5/16/06 7:19:20 PM EDT: What do you mean? Aznx 5/16/06 7:19:22 PM EDT: 7 Aznx 5/16/06 7:19:24 PM EDT: and so on Aznx 5/16/06 7:19:30 PM EDT: KLemme show you Quicksilver 5/16/06 7:19:33 PM EDT: Ok Aznx 5/16/06 7:19:40 PM EDT: Aznx 5/16/06 7:19:41 PM EDT: Aznx 5/16/06 7:19:44 PM EDT: Aznx 5/16/06 7:19:46 PM EDT: Aznx 5/16/06 7:19:49 PM EDT: Aznx 5/16/06 7:19:51 PM EDT: Aznx 5/16/06 7:19:53 PM EDT: Aznx 5/16/06 7:19:55 PM EDT: Aznx 5/16/06 7:19:56 PM EDT: Aznx 5/16/06 7:19:57 PM EDT: Aznx 5/16/06 7:19:59 PM EDT: Aznx 5/16/06 7:20:02 PM EDT: Quicksilver 5/16/06 7:20:04 PM EDT: That's a topp view isn't it? Quicksilver 5/16/06 7:20:09 PM EDT: OH yes Quicksilver 5/16/06 7:20:11 PM EDT: i see Aznx 5/16/06 7:20:14 PM EDT: That's the bottom layer Aznx 5/16/06 7:20:19 PM EDT: Aznx 5/16/06 7:20:21 PM EDT: Aznx 5/16/06 7:20:23 PM EDT: Aznx 5/16/06 7:20:26 PM EDT: Aznx 5/16/06 7:20:28 PM EDT: Aznx 5/16/06 7:20:29 PM EDT: Quicksilver 5/16/06 7:20:34 PM EDT: Actually the thrid layer should have six Aznx 5/16/06 7:20:34 PM EDT: Aznx 5/16/06 7:20:36 PM EDT: Aznx 5/16/06 7:20:38 PM EDT: Aznx 5/16/06 7:20:39 PM EDT: Aznx 5/16/06 7:20:41 PM EDT: Aznx 5/16/06 7:20:42 PM EDT: Aznx 5/16/06 7:20:43 PM EDT: Aznx 5/16/06 7:20:44 PM EDT: Aznx 5/16/06 7:20:46 PM EDT: Aznx 5/16/06 7:20:48 PM EDT: How? Quicksilver 5/16/06 7:20:54 PM EDT: Aznx 5/16/06 7:21:05 PM EDT: Why would you put a block there though? Quicksilver 5/16/06 7:21:06 PM EDT: You have to increase in the middle too Aznx 5/16/06 7:21:17 PM EDT: You're right! Aznx 5/16/06 7:21:25 PM EDT: So there would be 6 Quicksilver 5/16/06 7:21:25 PM EDT: Then it's ljust like a wall if you don't have anythign there bwang8 5/16/06 7:21:30 PM EDT: ok Quicksilver 5/16/06 7:21:38 PM EDT: Just imagine two walls coming together....that's not a pyramid Aznx 5/16/06 7:21:47 PM EDT: So the progression is 1, 3, 6... Aznx 5/16/06 7:21:55 PM EDT: It's triagular numbers, right? Quicksilver 5/16/06 7:22:07 PM EDT: Quicksilver 5/16/06 7:22:09 PM EDT: Quicksilver 5/16/06 7:22:11 PM EDT: Quicksilver 5/16/06 7:22:12 PM EDT: Quicksilver 5/16/06 7:22:16 PM EDT: Quicksilver 5/16/06 7:22:18 PM EDT: Quicksilver 5/16/06 7:22:21 PM EDT: Quicksilver 5/16/06 7:22:23 PM EDT: I think its four for the second step isn't it? Quicksilver 5/16/06 7:22:29 PM EDT: Aznx 5/16/06 7:22:38 PM EDT: hm. Quicksilver 5/16/06 7:22:38 PM EDT: Quicksilver 5/16/06 7:22:42 PM EDT: Aznx 5/16/06 7:22:43 PM EDT: I was thinking about that. Quicksilver 5/16/06 7:22:44 PM EDT: Aznx 5/16/06 7:22:47 PM EDT: But I'km not sure Quicksilver 5/16/06 7:22:48 PM EDT: Quicksilver 5/16/06 7:22:50 PM EDT: Quicksilver 5/16/06 7:22:53 PM EDT: Quicksilver 5/16/06 7:22:57 PM EDT: Quicksilver 5/16/06 7:22:58 PM EDT: Quicksilver 5/16/06 7:23:03 PM EDT: I think it's square numbers Aznx 5/16/06 7:23:04 PM EDT: bwang what do you think? Aznx 5/16/06 7:23:20 PM EDT: Swuare numbers? Aznx 5/16/06 7:23:24 PM EDT: How though? bwang8 5/16/06 7:23:24 PM EDT: i can't see any patterns Aznx 5/16/06 7:23:29 PM EDT: The third step has 6 blocks Quicksilver 5/16/06 7:23:38 PM EDT: It could have nine Quicksilver 5/16/06 7:23:46 PM EDT: It depends how we are increasing Quicksilver 5/16/06 7:24:01 PM EDT: If we want breakins in the pyramid at the front side or not Aznx 5/16/06 7:24:08 PM EDT: Should we just go onto a different problem for now? Quicksilver 5/16/06 7:24:20 PM EDT: This is todays problem isn't it? Quicksilver 5/16/06 7:24:25 PM EDT: Discuss last week? Quicksilver 5/16/06 7:24:50 PM EDT: And more problems I guess.. Aznx 5/16/06 7:24:55 PM EDT: Yeah Aznx 5/16/06 7:25:05 PM EDT: WE can come back to this on Thursday bwang8 5/16/06 7:25:06 PM EDT: Aznx 5/16/06 7:25:20 PM EDT: And perhaps expans on it even more bwang8 5/16/06 7:25:21 PM EDT: bwang8 5/16/06 7:25:33 PM EDT: Aznx 5/16/06 7:25:45 PM EDT: Aznx 5/16/06 7:26:08 PM EDT: This was our formula for this problem last time correct? bwang8 5/16/06 7:26:13 PM EDT: yeah Quicksilver 5/16/06 7:26:13 PM EDT: Yes Aznx 5/16/06 7:26:21 PM EDT: So how about we keep it Quicksilver 5/16/06 7:26:29 PM EDT: Yes Aznx 5/16/06 7:26:31 PM EDT: And move onto a different sequence? Quicksilver 5/16/06 7:26:34 PM EDT: Quicksilver 5/16/06 7:26:37 PM EDT: Quicksilver 5/16/06 7:26:41 PM EDT: Aznx 5/16/06 7:26:47 PM EDT: How about squares? Aznx 5/16/06 7:26:52 PM EDT: As you had mentioned? Quicksilver 5/16/06 7:26:55 PM EDT: Aznx 5/16/06 7:26:56 PM EDT: bwang you have any ideas? Quicksilver 5/16/06 7:27:01 PM EDT: These basically were squares Quicksilver 5/16/06 7:27:07 PM EDT: Aznx 5/16/06 7:27:24 PM EDT: bwang8 5/16/06 7:27:24 PM EDT: squares of what? Aznx 5/16/06 7:27:26 PM EDT: Quicksilver 5/16/06 7:27:31 PM EDT: Quicksilver 5/16/06 7:27:32 PM EDT: Quicksilver 5/16/06 7:27:45 PM EDT: The cubes were basically squares Quicksilver 5/16/06 7:27:52 PM EDT: we just broke apart the lines Aznx 5/16/06 7:28:22 PM EDT: I'm sure we can come up with other sequences. Quicksilver 5/16/06 7:28:41 PM EDT: How did team C get its formula for the diamonds? Quicksilver 5/16/06 7:28:46 PM EDT: How do we access that? Aznx 5/16/06 7:29:00 PM EDT: Well, let's look at their problem. bwang8 5/16/06 7:29:05 PM EDT: open browser Aznx 5/16/06 7:29:06 PM EDT: Aznx 5/16/06 7:29:10 PM EDT: Aznx 5/16/06 7:29:12 PM EDT: bwang8 5/16/06 7:29:13 PM EDT: and click on the link Quicksilver 5/16/06 7:29:14 PM EDT: oh nevrmind Aznx 5/16/06 7:29:14 PM EDT: Quicksilver 5/16/06 7:29:15 PM EDT: i got it bwang8 5/16/06 7:29:19 PM EDT: ok Aznx 5/16/06 7:29:21 PM EDT: Aznx 5/16/06 7:29:24 PM EDT: Aznx 5/16/06 7:29:28 PM EDT: Aznx 5/16/06 7:29:32 PM EDT: Aznx 5/16/06 7:29:48 PM EDT: Wait, I think I messed up. Aznx 5/16/06 7:30:13 PM EDT: Aznx 5/16/06 7:30:19 PM EDT: bwang8 5/16/06 7:30:19 PM EDT: their problem is indeed interesting Aznx 5/16/06 7:30:23 PM EDT: Aznx 5/16/06 7:30:26 PM EDT: Aznx 5/16/06 7:30:28 PM EDT: Quicksilver 5/16/06 7:30:31 PM EDT: yes Aznx 5/16/06 7:30:31 PM EDT: Aznx 5/16/06 7:30:34 PM EDT: Aznx 5/16/06 7:30:38 PM EDT: Aznx 5/16/06 7:30:44 PM EDT: lol, it looks horrible bwang8 5/16/06 7:30:48 PM EDT: lol Aznx 5/16/06 7:30:56 PM EDT: Aznx 5/16/06 7:30:56 PM EDT: Aznx 5/16/06 7:30:58 PM EDT: Aznx 5/16/06 7:31:01 PM EDT: Ok Aznx 5/16/06 7:31:23 PM EDT: How would you grow this pattern? Aznx 5/16/06 7:31:32 PM EDT: Like a tesselation? Quicksilver 5/16/06 7:31:40 PM EDT: No Quicksilver 5/16/06 7:31:45 PM EDT: It doesn't tesselate bwang8 5/16/06 7:31:50 PM EDT: bwang8 5/16/06 7:31:53 PM EDT: Aznx 5/16/06 7:31:55 PM EDT: Actually it does bwang8 5/16/06 7:31:57 PM EDT: Quicksilver 5/16/06 7:31:58 PM EDT: How? Aznx 5/16/06 7:32:03 PM EDT: Hold on bwang8 5/16/06 7:32:07 PM EDT: bwang8 5/16/06 7:32:08 PM EDT: bwang8 5/16/06 7:32:09 PM EDT: bwang8 5/16/06 7:32:09 PM EDT: bwang8 5/16/06 7:32:10 PM EDT: Quicksilver 5/16/06 7:32:11 PM EDT: color the portion Aznx 5/16/06 7:32:13 PM EDT: Aznx 5/16/06 7:32:16 PM EDT: Aznx 5/16/06 7:32:18 PM EDT: Aznx 5/16/06 7:32:20 PM EDT: Aznx 5/16/06 7:32:35 PM EDT: Aznx 5/16/06 7:32:44 PM EDT: Quicksilver 5/16/06 7:32:48 PM EDT: Besides, It grows in all directions Aznx 5/16/06 7:32:56 PM EDT: But it fits Aznx 5/16/06 7:33:05 PM EDT: You can do it on your own scratch piece of paper =P bwang8 5/16/06 7:33:06 PM EDT: ok bwang8 5/16/06 7:33:16 PM EDT: lets think about the equatin bwang8 5/16/06 7:33:22 PM EDT: equation Quicksilver 5/16/06 7:33:23 PM EDT: yes bwang8 5/16/06 7:33:30 PM EDT: how did they derive it Aznx 5/16/06 7:33:50 PM EDT: There's the formula bwang8 5/16/06 7:33:57 PM EDT: (n^2+(n-1)^2)*2+n*3-2 bwang8 5/16/06 7:34:08 PM EDT: n^2+(n-1)^2 Aznx 5/16/06 7:34:18 PM EDT: The 3n has to do with the growing outer layer of the pattern I think. Quicksilver 5/16/06 7:34:23 PM EDT: the sides and squares Aznx 5/16/06 7:34:55 PM EDT: Right. Aznx 5/16/06 7:35:09 PM EDT: There. Aznx 5/16/06 7:35:36 PM EDT: I have an interesting way to look at this problem. Quicksilver 5/16/06 7:35:42 PM EDT: Tell us Aznx 5/16/06 7:35:45 PM EDT: Can you see how it fits inside a quare? bwang8 5/16/06 7:35:45 PM EDT: yes Quicksilver 5/16/06 7:35:52 PM EDT: Yes bwang8 5/16/06 7:35:53 PM EDT: oh bwang8 5/16/06 7:35:55 PM EDT: yes Quicksilver 5/16/06 7:36:01 PM EDT: You are sayingthe extra spaces... Aznx 5/16/06 7:36:05 PM EDT: Also, do you see if you add up the missing areas Quicksilver 5/16/06 7:36:11 PM EDT: Yes... Quicksilver 5/16/06 7:36:18 PM EDT: they look similar to the original figures Quicksilver 5/16/06 7:36:21 PM EDT: figure Aznx 5/16/06 7:36:21 PM EDT: It is equivalent in size to the small circle in the pattern Quicksilver 5/16/06 7:36:33 PM EDT: Small circle? Aznx 5/16/06 7:36:39 PM EDT: The only part you would be missing out are the four squares Aznx 5/16/06 7:36:49 PM EDT: on the outer areas of this square Aznx 5/16/06 7:37:00 PM EDT: Doi you guys get what I mean? bwang8 5/16/06 7:37:07 PM EDT: yes Quicksilver 5/16/06 7:37:08 PM EDT: Show what u mean on the witeboard Quicksilver 5/16/06 7:37:11 PM EDT: i dont get it Aznx 5/16/06 7:37:14 PM EDT: bwang you show him Aznx 5/16/06 7:37:17 PM EDT: since you get it bwang8 5/16/06 7:37:19 PM EDT: bwang8 5/16/06 7:37:23 PM EDT: bwang8 5/16/06 7:37:26 PM EDT: bwang8 5/16/06 7:37:30 PM EDT: bwang8 5/16/06 7:37:32 PM EDT: bwang8 5/16/06 7:37:34 PM EDT: bwang8 5/16/06 7:37:37 PM EDT: bwang8 5/16/06 7:37:39 PM EDT: bwang8 5/16/06 7:37:41 PM EDT: bwang8 5/16/06 7:37:50 PM EDT: bwang8 5/16/06 7:37:53 PM EDT: bwang8 5/16/06 7:37:55 PM EDT: bwang8 5/16/06 7:37:57 PM EDT: bwang8 5/16/06 7:38:18 PM EDT: we just have to find the whole square and minus the four corners Aznx 5/16/06 7:38:19 PM EDT: The red areas Quicksilver 5/16/06 7:38:27 PM EDT: no Aznx 5/16/06 7:38:30 PM EDT: are eqivalent ot the middle square Quicksilver 5/16/06 7:38:39 PM EDT: Aznx 5/16/06 7:38:39 PM EDT: Does that make sense? Quicksilver 5/16/06 7:38:45 PM EDT: no Quicksilver 5/16/06 7:38:53 PM EDT: Because what about these Aznx 5/16/06 7:38:55 PM EDT: Ok Aznx 5/16/06 7:38:58 PM EDT: lemme show you Aznx 5/16/06 7:39:02 PM EDT: Aznx 5/16/06 7:39:06 PM EDT: Aznx 5/16/06 7:39:10 PM EDT: Aznx 5/16/06 7:39:12 PM EDT: Aznx 5/16/06 7:39:14 PM EDT: Aznx 5/16/06 7:39:16 PM EDT: Aznx 5/16/06 7:39:24 PM EDT: There's this original suqare in the pattern first Aznx 5/16/06 7:39:28 PM EDT: Pluis.... Aznx 5/16/06 7:39:31 PM EDT: Aznx 5/16/06 7:39:33 PM EDT: Aznx 5/16/06 7:39:36 PM EDT: Quicksilver 5/16/06 7:39:37 PM EDT: Are those nine squares these Aznx 5/16/06 7:39:38 PM EDT: Aznx 5/16/06 7:39:42 PM EDT: Yeah Quicksilver 5/16/06 7:39:59 PM EDT: Ok keep going bwang8 5/16/06 7:40:00 PM EDT: no Quicksilver 5/16/06 7:40:05 PM EDT: ? bwang8 5/16/06 7:40:11 PM EDT: it's a shrink down version bwang8 5/16/06 7:40:16 PM EDT: of the pattern Aznx 5/16/06 7:40:16 PM EDT: bwnag's right Aznx 5/16/06 7:40:27 PM EDT: this is only looking at a specific size Quicksilver 5/16/06 7:40:32 PM EDT: yes Quicksilver 5/16/06 7:40:35 PM EDT: i know Aznx 5/16/06 7:40:41 PM EDT: So do you understand Aznx 5/16/06 7:40:44 PM EDT: it now? Quicksilver 5/16/06 7:40:48 PM EDT: i think so Aznx 5/16/06 7:40:52 PM EDT: Hold on Quicksilver 5/16/06 7:40:59 PM EDT: Aznx 5/16/06 7:40:59 PM EDT: Watch the part I'm making right now Quicksilver 5/16/06 7:41:04 PM EDT: Aznx 5/16/06 7:41:05 PM EDT: Aznx 5/16/06 7:41:06 PM EDT: Aznx 5/16/06 7:41:08 PM EDT: Quicksilver 5/16/06 7:41:08 PM EDT: Quicksilver 5/16/06 7:41:09 PM EDT: Quicksilver 5/16/06 7:41:10 PM EDT: Quicksilver 5/16/06 7:41:13 PM EDT: Aznx 5/16/06 7:41:27 PM EDT: See how that part Aznx 5/16/06 7:41:32 PM EDT: multiplied by four Quicksilver 5/16/06 7:41:38 PM EDT: Is equal to twelve Aznx 5/16/06 7:41:39 PM EDT: fits inside that 3x3 square? Quicksilver 5/16/06 7:41:53 PM EDT: No Quicksilver 5/16/06 7:42:00 PM EDT: How does twelve fit inside nine? Aznx 5/16/06 7:42:02 PM EDT: Oh! Aznx 5/16/06 7:42:11 PM EDT: Plus are the remaining four squares Aznx 5/16/06 7:42:18 PM EDT: Plus add those four Aznx 5/16/06 7:42:24 PM EDT: It works now Quicksilver 5/16/06 7:42:28 PM EDT: thes? Aznx 5/16/06 7:42:31 PM EDT: It should at least... Aznx 5/16/06 7:42:34 PM EDT: Yeah Aznx 5/16/06 7:42:46 PM EDT: But apparently 9+4 is 13... Aznx 5/16/06 7:42:49 PM EDT: not 12... Quicksilver 5/16/06 7:42:58 PM EDT: yeah... Aznx 5/16/06 7:43:03 PM EDT: Hold on Aznx 5/16/06 7:43:11 PM EDT: Ok. Quicksilver 5/16/06 7:43:13 PM EDT: bwang any thoughts? Aznx 5/16/06 7:43:15 PM EDT: Now to make it bwang8 5/16/06 7:43:33 PM EDT: what is n in their equation bwang8 5/16/06 7:43:45 PM EDT: bwang8 5/16/06 7:43:47 PM EDT: bwang8 5/16/06 7:43:51 PM EDT: bwang8 5/16/06 7:43:53 PM EDT: Aznx 5/16/06 7:43:56 PM EDT: Good question Aznx 5/16/06 7:44:01 PM EDT: I don't know. :P bwang8 5/16/06 7:44:03 PM EDT: bwang8 5/16/06 7:44:04 PM EDT: Quicksilver 5/16/06 7:44:10 PM EDT: Sides, sticks or squares? bwang8 5/16/06 7:44:12 PM EDT: Aznx 5/16/06 7:44:14 PM EDT: Gerry? Quicksilver 5/16/06 7:44:17 PM EDT: let ask xander bwang8 5/16/06 7:44:18 PM EDT: bwang8 5/16/06 7:44:19 PM EDT: bwang8 5/16/06 7:44:22 PM EDT: bwang8 5/16/06 7:44:24 PM EDT: bwang8 5/16/06 7:44:25 PM EDT: bwang8 5/16/06 7:44:27 PM EDT: bwang8 5/16/06 7:44:28 PM EDT: bwang8 5/16/06 7:44:30 PM EDT: bwang8 5/16/06 7:44:31 PM EDT: bwang8 5/16/06 7:44:33 PM EDT: bwang8 5/16/06 7:44:36 PM EDT: bwang8 5/16/06 7:44:38 PM EDT: bwang8 5/16/06 7:44:40 PM EDT: bwang8 5/16/06 7:44:41 PM EDT: bwang8 5/16/06 7:44:44 PM EDT: bwang8 5/16/06 7:44:45 PM EDT: bwang8 5/16/06 7:44:46 PM EDT: bwang8 5/16/06 7:44:47 PM EDT: bwang8 5/16/06 7:44:49 PM EDT: bwang8 5/16/06 7:44:51 PM EDT: bwang8 5/16/06 7:44:53 PM EDT: bwang8 5/16/06 7:44:58 PM EDT: Gerry 5/16/06 7:45:18 PM EDT: I assume N is the stage in the pattern Aznx 5/16/06 7:45:29 PM EDT: What do you mean? Quicksilver 5/16/06 7:45:35 PM EDT: That is twelve extra squares in a five by five square Aznx 5/16/06 7:45:39 PM EDT: I'm confused how the pattern grows Aznx 5/16/06 7:45:50 PM EDT: Oh, I get it now Aznx 5/16/06 7:45:56 PM EDT: I was on the right track =P Gerry 5/16/06 7:45:59 PM EDT: Just like in the original problem on the Topic Gerry 5/16/06 7:47:12 PM EDT: Stage N=1 is one square Gerry 5/16/06 7:47:27 PM EDT: Stage N= 2 is a cross of 5 squares Quicksilver 5/16/06 7:47:37 PM EDT: Ok Gerry 5/16/06 7:48:00 PM EDT: Stage N=3 is the bigger figure with 13 squares Quicksilver 5/16/06 7:48:08 PM EDT: Stage N=3 is a cross of 9 squares or 13? Aznx 5/16/06 7:48:23 PM EDT: 13 Aznx 5/16/06 7:48:32 PM EDT: i tihnk Quicksilver 5/16/06 7:48:42 PM EDT: Because those extra four are tricky Gerry 5/16/06 7:48:46 PM EDT: you could define the sequence either way Quicksilver 5/16/06 7:48:54 PM EDT: yeah Quicksilver 5/16/06 7:49:01 PM EDT: but it has to be constant Gerry 5/16/06 7:49:05 PM EDT: which did they do? Which is more interesting mathematically? Aznx 5/16/06 7:49:29 PM EDT: 13 Aznx 5/16/06 7:49:34 PM EDT: is much more interesting =P 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 bwang8 5/16/06 7:49:53 PM EDT: ok Aznx 5/16/06 7:50:23 PM EDT: Now what do we do? Quicksilver 5/16/06 7:50:33 PM EDT: this bwang8 5/16/06 7:50:38 PM EDT: (2n-1)^2= the # of squares in the big square Aznx 5/16/06 7:50:43 PM EDT: We need to come up with the formula. Quicksilver 5/16/06 7:50:49 PM EDT: yes nvrmind Aznx 5/16/06 7:50:52 PM EDT: Yeah we came up with that part. Aznx 5/16/06 7:50:57 PM EDT: How about the sides? Aznx 5/16/06 7:51:02 PM EDT: How did they do that? Quicksilver 5/16/06 7:51:07 PM EDT: Quicksilver 5/16/06 7:51:11 PM EDT: Quicksilver 5/16/06 7:51:13 PM EDT: bwang8 5/16/06 7:52:31 PM EDT: i think they first calculate how many sides there are in the big square bwang8 5/16/06 7:52:38 PM EDT: and minus the extra ones Quicksilver 5/16/06 7:52:51 PM EDT: that could be it bwang8 5/16/06 7:53:50 PM EDT: let's first figure out the equation they used to find the number of squares Quicksilver 5/16/06 7:54:01 PM EDT: ok bwang8 5/16/06 7:54:04 PM EDT: this is the big square bwang8 5/16/06 7:54:22 PM EDT: - all the extra bwang8 5/16/06 7:54:48 PM EDT: there is 0 extra in stage 1 bwang8 5/16/06 7:54:59 PM EDT: 1 extra in stage 2 Quicksilver 5/16/06 7:54:59 PM EDT: Yeah bwang8 5/16/06 7:55:08 PM EDT: 2 extra in stage 3 bwang8 5/16/06 7:55:17 PM EDT: i mean 3 extra in stage 3 bwang8 5/16/06 7:55:29 PM EDT: is there a pattern Quicksilver 5/16/06 7:55:34 PM EDT: Not yet bwang8 5/16/06 7:55:53 PM EDT: 6 extra in stage 4 Quicksilver 5/16/06 7:56:12 PM EDT: Trinagular numbers bwang8 5/16/06 7:56:16 PM EDT: yeah Quicksilver 5/16/06 7:56:32 PM EDT: Aznx was right earlier... bwang8 5/16/06 7:56:34 PM EDT: use it times 4 and you can get the extra squares Quicksilver 5/16/06 7:56:41 PM EDT: Yes Quicksilver 5/16/06 7:56:49 PM EDT: and just subtract that from the total squares Quicksilver 5/16/06 7:56:57 PM EDT: to get the number of squares for each level bwang8 5/16/06 7:57:11 PM EDT: oh no! bwang8 5/16/06 7:57:16 PM EDT: i have to go now Aznx 5/16/06 7:57:16 PM EDT: I never said I was wrong. :P bwang8 5/16/06 7:57:21 PM EDT: sorry Quicksilver 5/16/06 7:57:21 PM EDT: Wat? Quicksilver 5/16/06 7:57:21 PM EDT: Quicksilver 5/16/06 7:57:21 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:22 PM EDT: Quicksilver 5/16/06 7:57:24 PM EDT: sorry bwang8 5/16/06 7:57:41 PM EDT: see you thursday bwang8 5/16/06 7:57:44 PM EDT: ok Aznx 5/16/06 7:57:44 PM EDT: I guess that's all for today then? Quicksilver 5/16/06 7:57:48 PM EDT: you have to go? Aznx 5/16/06 7:57:52 PM EDT: Do we have to report for the wiki? bwang8 5/16/06 7:57:56 PM EDT: you guys can keep working bwang8 5/16/06 7:57:59 PM EDT: but i have to go Quicksilver 5/16/06 7:58:02 PM EDT: there wasnit really a problem Aznx 5/16/06 7:58:03 PM EDT: Should we? Quicksilver 5/16/06 7:58:04 PM EDT: ok bwang8 5/16/06 7:58:10 PM EDT: bye bwang8 5/16/06 7:58:11 PM EDT: now Quicksilver 5/16/06 7:58:11 PM EDT: see u on thursday Aznx 5/16/06 7:58:12 PM EDT: bye bwang8 5/16/06 7:58:14 PM EDT: leaves the room Aznx 5/16/06 7:58:23 PM EDT: So do we leave as well? Quicksilver 5/16/06 7:58:31 PM EDT: Um... Quicksilver 5/16/06 7:58:36 PM EDT: did we acccomplish the goal Quicksilver 5/16/06 7:58:41 PM EDT: we discussed last week Quicksilver 5/16/06 7:58:51 PM EDT: and we didn't do much else 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? Aznx 5/16/06 7:59:11 PM EDT: Put up the formula. Quicksilver 5/16/06 7:59:19 PM EDT: That was team c's formuala Quicksilver 5/16/06 7:59:29 PM EDT: which one are you talking about? Aznx 5/16/06 7:59:32 PM EDT: No the one on the whiteboard Gerry 5/16/06 7:59:36 PM EDT: Do you want to put a message on for Team C? Aznx 5/16/06 7:59:51 PM EDT: Aditya write on how we explored the problem more. Quicksilver 5/16/06 7:59:52 PM EDT: ok indranil...you put it up Aznx 5/16/06 7:59:56 PM EDT: You put it up Quicksilver 5/16/06 8:00:03 PM EDT: um... Quicksilver 5/16/06 8:00:07 PM EDT: Ok Aznx 5/16/06 8:00:14 PM EDT: I'll do it next time. =P Quicksilver 5/16/06 8:00:18 PM EDT: but stay on now Aznx 5/16/06 8:00:25 PM EDT: Yeah, I wll. Quicksilver 5/16/06 8:01:37 PM EDT: Did we actually figure out Team C's formual? Quicksilver 5/16/06 8:01:46 PM EDT: or did we just kind of make one of ourselves Quicksilver 5/16/06 8:02:11 PM EDT: Indranil? Aznx 5/16/06 8:02:14 PM EDT: Yeah we did. Quicksilver 5/16/06 8:02:25 PM EDT: We figured out theri formula? Aznx 5/16/06 8:02:30 PM EDT: We derived on ourselves, and just used their to double-check. Quicksilver 5/16/06 8:02:48 PM EDT: Then you explain it! I'm confusing myself! Aznx 5/16/06 8:03:05 PM EDT: Well Aznx 5/16/06 8:03:11 PM EDT: Le'ts explain it together right here Quicksilver 5/16/06 8:03:18 PM EDT: Ok Aznx 5/16/06 8:03:18 PM EDT: so I can clearly know what I'm writing Quicksilver 5/16/06 8:03:24 PM EDT: Yes Aznx 5/16/06 8:03:25 PM EDT: What was their first formula? Aznx 5/16/06 8:03:34 PM EDT: Quicksilver 5/16/06 8:03:35 PM EDT: over her Aznx 5/16/06 8:04:09 PM EDT: So it as n^2+(n+1)*2+n*3-2 Aznx 5/16/06 8:04:31 PM EDT: and n^2+(n+1)^2 Quicksilver 5/16/06 8:04:34 PM EDT: yes Aznx 5/16/06 8:04:41 PM EDT: I know we've figured out the second one. Quicksilver 5/16/06 8:04:57 PM EDT: yes with the trjiangular numbers and stuff Quicksilver 5/16/06 8:05:03 PM EDT: i wrote that on the wiki Aznx 5/16/06 8:05:21 PM EDT: I'm not sure if we got the first formula though. Quicksilver 5/16/06 8:05:33 PM EDT: i don't think we did Aznx 5/16/06 8:06:37 PM EDT: (2n-1)^2=the # of squares in the big square Aznx 5/16/06 8:06:46 PM EDT: Correct? Quicksilver 5/16/06 8:06:57 PM EDT: Yes Quicksilver 5/16/06 8:07:27 PM EDT: But that is not in theri equation Aznx 5/16/06 8:07:29 PM EDT: So isn't that our first formula right there? Aznx 5/16/06 8:07:36 PM EDT: Hold on. Quicksilver 5/16/06 8:07:39 PM EDT: no....we want the sides Aznx 5/16/06 8:08:14 PM EDT: Read above. Aznx 5/16/06 8:08:24 PM EDT: bwang kind of explains it. Aznx 5/16/06 8:08:31 PM EDT: I somehow get it, but can't explain it. Quicksilver 5/16/06 8:08:59 PM EDT: then lets pick it up next time when bwang can explain it Aznx 5/16/06 8:09:12 PM EDT: So leave for today? Quicksilver 5/16/06 8:09:18 PM EDT: i suppose Quicksilver 5/16/06 8:09:19 PM EDT: Quicksilver 5/16/06 8:09:19 PM EDT: Aznx 5/16/06 8:09:25 PM EDT: k bye then Quicksilver 5/16/06 8:09:30 PM EDT: ok Quicksilver 5/16/06 8:09:31 PM EDT: bye Aznx 5/16/06 8:09:33 PM EDT: leaves the room Quicksilver 5/16/06 8:09:37 PM EDT: leaves the room Gerry 5/16/06 8:09:53 PM EDT: leaves the room bwang8 5/16/06 8:42:43 PM EDT: joins the room bwang8 5/16/06 10:28:23 PM EDT: bwang8 5/16/06 10:28:58 PM EDT: bwang8 5/16/06 10:29:01 PM EDT: bwang8 5/16/06 10:29:08 PM EDT: bwang8 5/16/06 10:29:16 PM EDT: bwang8 5/16/06 10:29:20 PM EDT: bwang8 5/16/06 10:29:23 PM EDT: bwang8 5/16/06 10:29:27 PM EDT: bwang8 5/16/06 10:29:30 PM EDT: bwang8 5/16/06 10:29:33 PM EDT: bwang8 5/16/06 10:29:34 PM EDT: bwang8 5/16/06 10:29:37 PM EDT: bwang8 5/16/06 10:31:05 PM EDT: bwang8 5/16/06 10:31:10 PM EDT: bwang8 5/16/06 10:31:12 PM EDT: bwang8 5/16/06 10:31:14 PM EDT: bwang8 5/16/06 10:31:19 PM EDT: bwang8 5/17/06 12:18:23 AM EDT: Sorry i have to leave early bwang8 5/17/06 12:18:56 AM EDT: i updated our wiki page to explain the equation from the last session bwang8 5/17/06 12:30:07 AM EDT: bwang8 5/17/06 12:30:08 AM EDT: bwang8 5/17/06 12:30:11 AM EDT: bwang8 5/17/06 12:34:54 AM EDT: i also added some stuff, change anything you want bwang8 5/17/06 12:39:55 AM EDT: i hope you can read this bwang8 5/17/06 12:39:59 AM EDT: leaves the room Gerry 5/17/06 2:01:20 PM EDT: joins the room tutor 5/17/06 2:26:46 PM EDT: joins the room tutor 5/17/06 2:32:44 PM EDT: joins the room tutor 5/17/06 2:53:05 PM EDT: leaves the room Gerry 5/17/06 5:31:30 PM EDT: Gerry 5/17/06 5:31:36 PM EDT: Gerry 5/17/06 5:31:40 PM EDT: Gerry 5/17/06 5:31:47 PM EDT: Gerry 5/17/06 5:32:41 PM EDT: Here is some feedback from the VMT mentors. Gerry 5/17/06 5:34:26 PM EDT: leaves the room Gerry 5/18/06 6:35:44 PM EDT: joins the room bwang8 5/18/06 6:53:08 PM EDT: joins the room bwang8 5/18/06 6:53:20 PM EDT: hi bwang8 5/18/06 6:54:44 PM EDT: bwang8 5/18/06 6:54:46 PM EDT: bwang8 5/18/06 6:54:50 PM EDT: bwang8 5/18/06 6:54:54 PM EDT: bwang8 5/18/06 6:54:55 PM EDT: bwang8 5/18/06 6:54:56 PM EDT: bwang8 5/18/06 6:55:45 PM EDT: $sum(1,n,3)= bwang8 5/18/06 6:55:59 PM EDT: $sum(1,n,3)=$ bwang8 5/18/06 6:56:15 PM EDT: bwang8 5/18/06 6:56:17 PM EDT: bwang8 5/18/06 6:56:19 PM EDT: bwang8 5/18/06 6:56:23 PM EDT: bwang8 5/18/06 6:56:29 PM EDT: bwang8 5/18/06 6:56:35 PM EDT: bwang8 5/18/06 6:56:37 PM EDT: bwang8 5/18/06 6:56:38 PM EDT: bwang8 5/18/06 6:56:40 PM EDT: bwang8 5/18/06 6:56:40 PM EDT: bwang8 5/18/06 6:56:41 PM EDT: bwang8 5/18/06 6:56:42 PM EDT: bwang8 5/18/06 6:56:42 PM EDT: bwang8 5/18/06 6:56:44 PM EDT: bwang8 5/18/06 6:56:50 PM EDT: bwang8 5/18/06 6:56:52 PM EDT: bwang8 5/18/06 6:56:53 PM EDT: bwang8 5/18/06 6:56:54 PM EDT: bwang8 5/18/06 6:56:55 PM EDT: bwang8 5/18/06 6:56:56 PM EDT: bwang8 5/18/06 6:56:57 PM EDT: bwang8 5/18/06 6:57:00 PM EDT: bwang8 5/18/06 6:57:16 PM EDT: bwang8 5/18/06 6:57:58 PM EDT: $sum(1,n,1) =? 4n(n+1)+(n+1) Quicksilver 5/18/06 6:58:10 PM EDT: joins the room Quicksilver 5/18/06 6:58:29 PM EDT: leaves the room bwang8 5/18/06 6:58:42 PM EDT: $sum(1,n,1) =? 4n(n+1)+(n+1)$ bwang8 5/18/06 6:58:52 PM EDT: $sum(1,n,1)=4n(n+1)+(n+1)$ bwang8 5/18/06 6:59:09 PM EDT: $sum(1,n,1)= 4n(n+1)+(n+1)$ bwang8 5/18/06 6:59:28 PM EDT: $sum(1,n,1)=?4n(n+1)+(n+1)$ bwang8 5/18/06 6:59:34 PM EDT: $sum(1,n,1)= 4n(n+1)+(n+1)$ bwang8 5/18/06 6:59:59 PM EDT: $sum(n=1,n,1)=4n(n+1)+(n+1)$ Quicksilver 5/18/06 7:00:10 PM EDT: joins the room bwang8 5/18/06 7:00:17 PM EDT: hi Aznx 5/18/06 7:00:26 PM EDT: joins the room Quicksilver 5/18/06 7:00:26 PM EDT: lol aznx joined the lobby at exactly 4 pm. bwang8 5/18/06 7:00:35 PM EDT: lol bwang8 5/18/06 7:00:36 PM EDT: ok bwang8 5/18/06 7:00:49 PM EDT: do the rewind button on the chat thing Gerry 5/18/06 7:00:55 PM EDT: lol. U guys are punctual Aznx 5/18/06 7:00:58 PM EDT: Hey everyone Aznx 5/18/06 7:01:03 PM EDT: leaves the room bwang8 5/18/06 7:01:03 PM EDT: hi Quicksilver 5/18/06 7:01:05 PM EDT: hey Aznx 5/18/06 7:01:07 PM EDT: joins the room Quicksilver 5/18/06 7:01:10 PM EDT: thanks Aznx 5/18/06 7:01:41 PM EDT: leaves the room bwang8 5/18/06 7:01:45 PM EDT: ? Aznx 5/18/06 7:01:47 PM EDT: joins the room Gerry 5/18/06 7:01:48 PM EDT: Can everyone see the purple feedback? Someone moved it over a bit Quicksilver 5/18/06 7:01:49 PM EDT: bwang8 5/18/06 7:01:56 PM EDT: ywa bwang8 5/18/06 7:01:58 PM EDT: yes Quicksilver 5/18/06 7:02:01 PM EDT: yes bwang8 5/18/06 7:02:28 PM EDT: $sum(n=1,n,1)=4*n(n+1)+(n+1)$ Aznx 5/18/06 7:02:32 PM EDT: test bwang8 5/18/06 7:02:36 PM EDT: test Aznx 5/18/06 7:02:38 PM EDT: I can't see my own messages Quicksilver 5/18/06 7:02:43 PM EDT: i can Aznx 5/18/06 7:02:44 PM EDT: I'm going to log out Aznx 5/18/06 7:02:46 PM EDT: completely Quicksilver 5/18/06 7:02:48 PM EDT: ok Aznx 5/18/06 7:02:52 PM EDT: and try back logging in bwang8 5/18/06 7:02:52 PM EDT: ok Aznx 5/18/06 7:02:53 PM EDT: hold on Quicksilver 5/18/06 7:02:56 PM EDT: k Aznx 5/18/06 7:02:56 PM EDT: yay Aznx 5/18/06 7:02:59 PM EDT: it loaded! Aznx 5/18/06 7:03:01 PM EDT: =D bwang8 5/18/06 7:03:09 PM EDT: great Quicksilver 5/18/06 7:03:28 PM EDT: Quicksilver 5/18/06 7:03:44 PM EDT: for this session, it says to revisit an old problem bwang8 5/18/06 7:03:45 PM EDT: bwang8 5/18/06 7:03:49 PM EDT: Aznx 5/18/06 7:04:10 PM EDT: Hm. Aznx 5/18/06 7:04:16 PM EDT: Let's make a new problem Quicksilver 5/18/06 7:04:16 PM EDT: bwang8 5/18/06 7:04:18 PM EDT: the pryamid one that we didn't finish last time Aznx 5/18/06 7:04:21 PM EDT: Not necessarily 3-D Aznx 5/18/06 7:04:26 PM EDT: Yeah Quicksilver 5/18/06 7:04:31 PM EDT: ok Aznx 5/18/06 7:04:32 PM EDT: let's do the pyramid one Quicksilver 5/18/06 7:04:35 PM EDT: Aznx 5/18/06 7:05:09 PM EDT: How do you remove things from the board? Quicksilver 5/18/06 7:05:18 PM EDT: u select and delete bwang8 5/18/06 7:05:22 PM EDT: it is the 2 flat sided pyramid Quicksilver 5/18/06 7:05:34 PM EDT: oh yes....like the corner of a room Aznx 5/18/06 7:05:36 PM EDT: bwang8 5/18/06 7:05:42 PM EDT: by the way check out our wiki page Aznx 5/18/06 7:05:45 PM EDT: How do you delete? Quicksilver 5/18/06 7:05:45 PM EDT: ok Quicksilver 5/18/06 7:05:46 PM EDT: bwang8 5/18/06 7:05:48 PM EDT: i updated some stuff Aznx 5/18/06 7:05:52 PM EDT: I see how you select. Aznx 5/18/06 7:05:58 PM EDT: But how to delete? bwang8 5/18/06 7:06:06 PM EDT: del button on your keyboard would work Aznx 5/18/06 7:06:10 PM EDT: Quicksilver 5/18/06 7:06:11 PM EDT: yea Aznx 5/18/06 7:06:12 PM EDT: Aznx 5/18/06 7:06:14 PM EDT: Aznx 5/18/06 7:06:15 PM EDT: Aznx 5/18/06 7:06:16 PM EDT: Aznx 5/18/06 7:06:17 PM EDT: Aznx 5/18/06 7:06:18 PM EDT: Aznx 5/18/06 7:06:19 PM EDT: Aznx 5/18/06 7:06:21 PM EDT: Aznx 5/18/06 7:06:22 PM EDT: Aznx 5/18/06 7:06:22 PM EDT: Aznx 5/18/06 7:06:23 PM EDT: Aznx 5/18/06 7:06:25 PM EDT: Aznx 5/18/06 7:06:26 PM EDT: Aznx 5/18/06 7:06:27 PM EDT: Aznx 5/18/06 7:06:28 PM EDT: Aznx 5/18/06 7:06:29 PM EDT: Aznx 5/18/06 7:06:29 PM EDT: Aznx 5/18/06 7:06:30 PM EDT: Aznx 5/18/06 7:06:31 PM EDT: Aznx 5/18/06 7:06:32 PM EDT: Aznx 5/18/06 7:06:32 PM EDT: Aznx 5/18/06 7:06:35 PM EDT: Aznx 5/18/06 7:06:36 PM EDT: Aznx 5/18/06 7:06:36 PM EDT: Aznx 5/18/06 7:06:37 PM EDT: Aznx 5/18/06 7:06:39 PM EDT: Aznx 5/18/06 7:06:39 PM EDT: Aznx 5/18/06 7:06:40 PM EDT: Aznx 5/18/06 7:06:41 PM EDT: Aznx 5/18/06 7:06:42 PM EDT: Aznx 5/18/06 7:06:43 PM EDT: Aznx 5/18/06 7:06:45 PM EDT: Aznx 5/18/06 7:06:46 PM EDT: Aznx 5/18/06 7:06:52 PM EDT: Aznx 5/18/06 7:06:54 PM EDT: Aznx 5/18/06 7:06:57 PM EDT: Aznx 5/18/06 7:06:58 PM EDT: Aznx 5/18/06 7:06:59 PM EDT: Aznx 5/18/06 7:07:00 PM EDT: Aznx 5/18/06 7:07:01 PM EDT: Aznx 5/18/06 7:07:03 PM EDT: Aznx 5/18/06 7:07:04 PM EDT: Aznx 5/18/06 7:07:05 PM EDT: Aznx 5/18/06 7:07:05 PM EDT: Aznx 5/18/06 7:07:06 PM EDT: Aznx 5/18/06 7:07:07 PM EDT: Aznx 5/18/06 7:07:07 PM EDT: bwang8 5/18/06 7:07:07 PM EDT: can someone make our wiki page clearer Aznx 5/18/06 7:07:09 PM EDT: Aznx 5/18/06 7:07:11 PM EDT: Aznx 5/18/06 7:07:13 PM EDT: Aznx 5/18/06 7:07:14 PM EDT: bwang8 5/18/06 7:07:19 PM EDT: i can't explain it clear enough Quicksilver 5/18/06 7:07:25 PM EDT: indranil can u stop delelting for a sec bwang8 5/18/06 7:07:38 PM EDT: Quicksilver 5/18/06 7:07:39 PM EDT: i can't even see anything for team b on the wiki Aznx 5/18/06 7:07:39 PM EDT: Should I delete the session II board? bwang8 5/18/06 7:07:41 PM EDT: bwang8 5/18/06 7:07:46 PM EDT: bwang8 5/18/06 7:07:48 PM EDT: bwang8 5/18/06 7:07:51 PM EDT: Quicksilver 5/18/06 7:07:55 PM EDT: just minimize Quicksilver 5/18/06 7:07:57 PM EDT: Quicksilver 5/18/06 7:08:00 PM EDT: Quicksilver 5/18/06 7:08:03 PM EDT: Quicksilver 5/18/06 7:08:04 PM EDT: Quicksilver 5/18/06 7:08:07 PM EDT: Quicksilver 5/18/06 7:08:10 PM EDT: Quicksilver 5/18/06 7:08:12 PM EDT: bwang8 5/18/06 7:08:14 PM EDT: ok Aznx 5/18/06 7:08:16 PM EDT: ok Quicksilver 5/18/06 7:08:27 PM EDT: i don't see anything on the wiki for team b bwang8 5/18/06 7:08:33 PM EDT: ? Quicksilver 5/18/06 7:08:35 PM EDT: Quicksilver 5/18/06 7:08:38 PM EDT: Quicksilver 5/18/06 7:08:43 PM EDT: i see team a and c Quicksilver 5/18/06 7:08:46 PM EDT: but i don't see team b Aznx 5/18/06 7:09:04 PM EDT: ? bwang8 5/18/06 7:09:04 PM EDT: which page bwang8 5/18/06 7:09:08 PM EDT: are yuou on Quicksilver 5/18/06 7:09:20 PM EDT: o wait... Quicksilver 5/18/06 7:09:26 PM EDT: I'm on patterns fo the sticks Aznx 5/18/06 7:10:05 PM EDT: I see it. Quicksilver 5/18/06 7:10:06 PM EDT: k got it bwang8 5/18/06 7:10:19 PM EDT: Quicksilver 5/18/06 7:10:46 PM EDT: Gerry 5/18/06 7:10:46 PM EDT: click on the wiki "Index" -- you might want http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas Quicksilver 5/18/06 7:11:02 PM EDT: i got it already, but thanks Quicksilver 5/18/06 7:11:08 PM EDT: Quicksilver 5/18/06 7:11:11 PM EDT: Quicksilver 5/18/06 7:11:14 PM EDT: Quicksilver 5/18/06 7:11:17 PM EDT: Quicksilver 5/18/06 7:11:26 PM EDT: Quicksilver 5/18/06 7:11:46 PM EDT: what happened at the bottom of the comments? Quicksilver 5/18/06 7:11:47 PM EDT: Aznx 5/18/06 7:11:54 PM EDT: Ok. Aznx 5/18/06 7:12:00 PM EDT: Let's first discuss about the feedback. bwang8 5/18/06 7:12:06 PM EDT: ok Aznx 5/18/06 7:12:06 PM EDT: As usual, what do you guys think? bwang8 5/18/06 7:12:18 PM EDT: yeah, we didn't work that well last seesion bwang8 5/18/06 7:12:38 PM EDT: i don't think we understand each other's point Aznx 5/18/06 7:12:51 PM EDT: I kind of agree and disagree. bwang8 5/18/06 7:12:57 PM EDT: Quicksilver 5/18/06 7:12:59 PM EDT: same Quicksilver 5/18/06 7:13:12 PM EDT: because sometimes we weren't clear on waht the problem actually was 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. bwang8 5/18/06 7:13:23 PM EDT: ok Quicksilver 5/18/06 7:13:34 PM EDT: yea 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. Quicksilver 5/18/06 7:13:52 PM EDT: we might understand the person differentyly than the other person would 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. bwang8 5/18/06 7:14:10 PM EDT: yeah Quicksilver 5/18/06 7:14:17 PM EDT: yes...but at the same time we can't really focus in on one problem Quicksilver 5/18/06 7:14:23 PM EDT: but it is good we are finding similarities Quicksilver 5/18/06 7:14:28 PM EDT: to other problems bwang8 5/18/06 7:14:38 PM EDT: let's just focus on diamond problem today Aznx 5/18/06 7:14:44 PM EDT: So let's really focus on the pyramid. bwang8 5/18/06 7:14:48 PM EDT: we almost got the solution last seesion Quicksilver 5/18/06 7:14:49 PM EDT: lol Aznx 5/18/06 7:14:49 PM EDT: Diamond or pyramid? bwang8 5/18/06 7:14:55 PM EDT: diamond Aznx 5/18/06 7:14:59 PM EDT: aditya? bwang8 5/18/06 7:15:02 PM EDT: because we worked on it longer Quicksilver 5/18/06 7:15:03 PM EDT: diamond Aznx 5/18/06 7:15:08 PM EDT: agreed then bwang8 5/18/06 7:15:11 PM EDT: ok Quicksilver 5/18/06 7:15:13 PM EDT: we have a more thorough understanding of it bwang8 5/18/06 7:15:18 PM EDT: yeah Quicksilver 5/18/06 7:15:37 PM EDT: Quicksilver 5/18/06 7:15:42 PM EDT: Quicksilver 5/18/06 7:15:57 PM EDT: so where were we? 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 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. Quicksilver 5/18/06 7:16:21 PM EDT: u said two pyramid problems? Quicksilver 5/18/06 7:16:27 PM EDT: read ur thing again Aznx 5/18/06 7:16:27 PM EDT: OOps Aznx 5/18/06 7:16:34 PM EDT: I meant in the first part Aznx 5/18/06 7:16:37 PM EDT: the diamond problem Aznx 5/18/06 7:16:41 PM EDT: not the pyramid bwang8 5/18/06 7:16:41 PM EDT: lol Quicksilver 5/18/06 7:16:45 PM EDT: so do diamond? bwang8 5/18/06 7:16:48 PM EDT: Aznx 5/18/06 7:16:49 PM EDT: so we first work on the diamond solutions bwang8 5/18/06 7:16:49 PM EDT: Aznx 5/18/06 7:16:51 PM EDT: yeah Aznx 5/18/06 7:16:57 PM EDT: we pretty much solved it didnt we? bwang8 5/18/06 7:17:09 PM EDT: yeah Aznx 5/18/06 7:17:11 PM EDT: Well 50% of it I should say. Quicksilver 5/18/06 7:17:15 PM EDT: lets just recap the process Quicksilver 5/18/06 7:17:27 PM EDT: from the point of view who had never seen this problem bwang8 5/18/06 7:17:32 PM EDT: we know how to calculate the big square in a level Quicksilver 5/18/06 7:17:44 PM EDT: ok hold on bwang8 5/18/06 7:17:50 PM EDT: as in this bwang8 5/18/06 7:17:56 PM EDT: whole thing Quicksilver 5/18/06 7:17:57 PM EDT: our objective is to find the amount of squares and sticks in each level righrt? bwang8 5/18/06 7:18:03 PM EDT: yeo bwang8 5/18/06 7:18:04 PM EDT: yep Aznx 5/18/06 7:18:08 PM EDT: Yeah, intending that it is n. Quicksilver 5/18/06 7:18:10 PM EDT: that was stpe a Quicksilver 5/18/06 7:18:15 PM EDT: from the comments Aznx 5/18/06 7:18:18 PM EDT: no, step one Quicksilver 5/18/06 7:18:21 PM EDT: we defined the problem Aznx 5/18/06 7:18:26 PM EDT: oh Aznx 5/18/06 7:18:27 PM EDT: yes Quicksilver 5/18/06 7:18:40 PM EDT: lets put that in the wiki now\\ Aznx 5/18/06 7:18:45 PM EDT: So we dfined the problem. Aznx 5/18/06 7:18:50 PM EDT: Hold on. Aznx 5/18/06 7:18:56 PM EDT: Let's finish the ewntire thing up first. bwang8 5/18/06 7:19:01 PM EDT: Aznx 5/18/06 7:19:04 PM EDT: We can always look back if we mess up. Quicksilver 5/18/06 7:19:07 PM EDT: ok bwang8 5/18/06 7:19:24 PM EDT: the formula is correct, right? Aznx 5/18/06 7:19:24 PM EDT: So now we should focus on integrating the solutioni and how we found it. Quicksilver 5/18/06 7:19:42 PM EDT: yup bwang8 5/18/06 7:19:44 PM EDT: this one bwang8 5/18/06 7:19:47 PM EDT: ok Aznx 5/18/06 7:19:47 PM EDT: Yeah. Aznx 5/18/06 7:19:55 PM EDT: We can always double check, and it's darn right. Aznx 5/18/06 7:20:05 PM EDT: So we solve it by really looking at a bigger picture. Quicksilver 5/18/06 7:20:15 PM EDT: or bigger square in this case Aznx 5/18/06 7:20:20 PM EDT: In this case, the "square" itself. Aznx 5/18/06 7:20:23 PM EDT: Yeah. bwang8 5/18/06 7:20:34 PM EDT: i think the 4 corner is growing like this bwang8 5/18/06 7:20:43 PM EDT: 0,1,3,6,10 bwang8 5/18/06 7:20:48 PM EDT: what is the pattern Aznx 5/18/06 7:20:56 PM EDT: Triagnular numbers. Quicksilver 5/18/06 7:20:58 PM EDT: triangular numbers! bwang8 5/18/06 7:21:00 PM EDT: yep Aznx 5/18/06 7:21:03 PM EDT: We had already figured that out. bwang8 5/18/06 7:21:10 PM EDT: we can use the equation from session 1 Quicksilver 5/18/06 7:21:11 PM EDT: yes Aznx 5/18/06 7:21:20 PM EDT: Yup. bwang8 5/18/06 7:21:36 PM EDT: n(n+1)/2 Quicksilver 5/18/06 7:21:39 PM EDT: Quicksilver 5/18/06 7:21:41 PM EDT: Aznx 5/18/06 7:21:54 PM EDT: bwang8 5/18/06 7:21:56 PM EDT: 4*n(n+1)/2= the four corners Quicksilver 5/18/06 7:21:57 PM EDT: this right? Aznx 5/18/06 7:21:59 PM EDT: Aznx 5/18/06 7:22:01 PM EDT: bwang8 5/18/06 7:22:03 PM EDT: yes Aznx 5/18/06 7:22:06 PM EDT: Yeah bwang8 5/18/06 7:22:28 PM EDT: (2n-1)^2-2n(n-1) bwang8 5/18/06 7:22:48 PM EDT: this is the equation for each level Aznx 5/18/06 7:22:52 PM EDT: So how do we know what to mulitply/change the formula by? Quicksilver 5/18/06 7:23:04 PM EDT: we can use the brute force method Quicksilver 5/18/06 7:23:15 PM EDT: burt im sure there's a better wayu bwang8 5/18/06 7:23:19 PM EDT: wait what do you mean Aznx 5/18/06 7:23:19 PM EDT: Suppose we didn't know the formula. Quicksilver 5/18/06 7:23:36 PM EDT: hmm.. Aznx 5/18/06 7:23:39 PM EDT: Not n(n+1)/2 Quicksilver 5/18/06 7:23:47 PM EDT: so we don't know that? bwang8 5/18/06 7:23:50 PM EDT: can you explain this Aznx 5/18/06 7:23:57 PM EDT: look Quicksilver 5/18/06 7:24:02 PM EDT: he means as the levels increase Aznx 5/18/06 7:24:06 PM EDT: first there's n(n+1)/2 right? Quicksilver 5/18/06 7:24:09 PM EDT: what is the pattern Aznx 5/18/06 7:24:12 PM EDT: So now we nkow Aznx 5/18/06 7:24:19 PM EDT: that the number of squares in the pattern Aznx 5/18/06 7:24:24 PM EDT: is related to this formula Aznx 5/18/06 7:24:32 PM EDT: becuase the numbers are triangular numbers Aznx 5/18/06 7:24:43 PM EDT: So from there, what do we know what to do? bwang8 5/18/06 7:25:13 PM EDT: n(n+1)/2*4 Quicksilver 5/18/06 7:25:28 PM EDT: because of four corners Quicksilver 5/18/06 7:25:30 PM EDT: right? bwang8 5/18/06 7:25:36 PM EDT: that is the number of squares in four corners Quicksilver 5/18/06 7:25:40 PM EDT: ok Aznx 5/18/06 7:25:43 PM EDT: But that's not what it ends up to be. Aznx 5/18/06 7:25:56 PM EDT: If you double check with our already-given formula Quicksilver 5/18/06 7:26:00 PM EDT: why? Aznx 5/18/06 7:26:07 PM EDT: It's this Quicksilver 5/18/06 7:26:12 PM EDT: oh yeah Quicksilver 5/18/06 7:26:14 PM EDT: it doesn't work bwang8 5/18/06 7:26:15 PM EDT: Aznx 5/18/06 7:26:16 PM EDT: The first one bwang8 5/18/06 7:26:29 PM EDT: no bwang8 5/18/06 7:26:39 PM EDT: it is the second one that calculate the square Quicksilver 5/18/06 7:27:11 PM EDT: are you talking about this? Aznx 5/18/06 7:27:21 PM EDT: Then what's the first one for? Quicksilver 5/18/06 7:27:27 PM EDT: the sticks\\ Aznx 5/18/06 7:27:33 PM EDT: Oh! Aznx 5/18/06 7:27:40 PM EDT: Then the formula makes sense. Quicksilver 5/18/06 7:27:45 PM EDT: but pretend we don't know those yet Aznx 5/18/06 7:27:47 PM EDT: Yeah, I got it. bwang8 5/18/06 7:27:51 PM EDT: lol Aznx 5/18/06 7:28:01 PM EDT: I got confused with all the formulas lol. Quicksilver 5/18/06 7:28:16 PM EDT: i suppose so Aznx 5/18/06 7:28:22 PM EDT: So is that all? Quicksilver 5/18/06 7:28:37 PM EDT: what is the actual solution then? those equations? Aznx 5/18/06 7:28:43 PM EDT: Yeah. bwang8 5/18/06 7:28:50 PM EDT: Quicksilver 5/18/06 7:28:59 PM EDT: but when we put in the wiki how we did it....what will we write Aznx 5/18/06 7:29:20 PM EDT: Um. Aznx 5/18/06 7:29:42 PM EDT: I don't know how to exactly word it. Quicksilver 5/18/06 7:29:46 PM EDT: (a) was define the problem, (b) was the solution which we got... bwang8 5/18/06 7:29:48 PM EDT: we calculated the # of square if the diamond makes a perfect square Aznx 5/18/06 7:29:48 PM EDT: We can define the problem. Aznx 5/18/06 7:29:55 PM EDT: We got the solutions. Quicksilver 5/18/06 7:30:12 PM EDT: yes Quicksilver 5/18/06 7:30:16 PM EDT: the added corners 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. Quicksilver 5/18/06 7:30:19 PM EDT: to make a square Aznx 5/18/06 7:30:24 PM EDT: I'm just not sure how to explain it. Quicksilver 5/18/06 7:30:25 PM EDT: and we found those were triangular numbers Aznx 5/18/06 7:30:32 PM EDT: Well, I can explain the second formula. Quicksilver 5/18/06 7:30:35 PM EDT: lets go step by step Quicksilver 5/18/06 7:30:37 PM EDT: NO! Quicksilver 5/18/06 7:30:42 PM EDT: we don't know hte second formula Aznx 5/18/06 7:30:45 PM EDT: It was done through the method of finsing the pattern of triangular #s. Aznx 5/18/06 7:30:50 PM EDT: Yes we do. Quicksilver 5/18/06 7:30:55 PM EDT: ? Aznx 5/18/06 7:30:56 PM EDT: Suppose their second formula is our third. Quicksilver 5/18/06 7:31:06 PM EDT: That was taem c's tho Aznx 5/18/06 7:31:12 PM EDT: No. Aznx 5/18/06 7:31:16 PM EDT: They didn't do. Aznx 5/18/06 7:31:20 PM EDT: The nuumber of squares Quicksilver 5/18/06 7:31:25 PM EDT: ohj! Aznx 5/18/06 7:31:26 PM EDT: or the find the big square Quicksilver 5/18/06 7:31:27 PM EDT: that formula Quicksilver 5/18/06 7:31:31 PM EDT: i thot u meant the other one Quicksilver 5/18/06 7:31:36 PM EDT: yeah that is ours bwang8 5/18/06 7:32:37 PM EDT: point formula out with the tools so we don't get confused Quicksilver 5/18/06 7:32:43 PM EDT: Aznx 5/18/06 7:32:49 PM EDT: So we're technically done with all of it right? Quicksilver 5/18/06 7:32:51 PM EDT: this is ours Quicksilver 5/18/06 7:32:58 PM EDT: all right...lets put it on the wiki Aznx 5/18/06 7:33:02 PM EDT: That is theirs. Quicksilver 5/18/06 7:33:05 PM EDT: adn lets clearly explain it Aznx 5/18/06 7:33:11 PM EDT: bwang you do it. =P Quicksilver 5/18/06 7:33:13 PM EDT: the comments said we need details bwang8 5/18/06 7:33:14 PM EDT: we only calculated the number of squares Aznx 5/18/06 7:33:23 PM EDT: and the big square Quicksilver 5/18/06 7:33:30 PM EDT: and subtracte Aznx 5/18/06 7:33:30 PM EDT: we didn't claculate the number of sticks Aznx 5/18/06 7:33:34 PM EDT: wanna do it? bwang8 5/18/06 7:33:36 PM EDT: yes Quicksilver 5/18/06 7:33:37 PM EDT: oh whoops bwang8 5/18/06 7:33:38 PM EDT: sure Quicksilver 5/18/06 7:33:40 PM EDT: yea definitely bwang8 5/18/06 7:33:52 PM EDT: bwang8 5/18/06 7:33:57 PM EDT: Aznx 5/18/06 7:34:00 PM EDT: So for which one are we trying to find the number of sticks? bwang8 5/18/06 7:34:02 PM EDT: bwang8 5/18/06 7:34:05 PM EDT: Aznx 5/18/06 7:34:06 PM EDT: Only the disamond format? Aznx 5/18/06 7:34:13 PM EDT: Right? Quicksilver 5/18/06 7:34:19 PM EDT: ye bwang8 5/18/06 7:34:20 PM EDT: yes Aznx 5/18/06 7:34:45 PM EDT: So the one that we're looking at right now. Aznx 5/18/06 7:34:51 PM EDT: This one. Aznx 5/18/06 7:34:55 PM EDT: It's step 3 right? bwang8 5/18/06 7:34:59 PM EDT: yes Quicksilver 5/18/06 7:35:06 PM EDT: i think so Aznx 5/18/06 7:35:24 PM EDT: Let's look for a pattern. Quicksilver 5/18/06 7:35:27 PM EDT: how do u add text? Aznx 5/18/06 7:35:35 PM EDT: Wait! Quicksilver 5/18/06 7:35:42 PM EDT: Aznx 5/18/06 7:35:44 PM EDT: Wouldn't most of them share sticks? Quicksilver 5/18/06 7:35:46 PM EDT: Quicksilver 5/18/06 7:35:53 PM EDT: yes Quicksilver 5/18/06 7:35:59 PM EDT: they pretty much all do bwang8 5/18/06 7:36:06 PM EDT: yes Aznx 5/18/06 7:36:06 PM EDT: Argh, that makes the problem harder -_- Quicksilver 5/18/06 7:36:10 PM EDT: the corners have two all for themselves bwang8 5/18/06 7:36:13 PM EDT: it is very hard Quicksilver 5/18/06 7:36:21 PM EDT: the sides have one for themselves Aznx 5/18/06 7:36:45 PM EDT: wait a min Aznx 5/18/06 7:36:48 PM EDT: This is my plan bwang8 5/18/06 7:36:49 PM EDT: maybe we should use the big square to calculate the # of sticks bwang8 5/18/06 7:36:54 PM EDT: ok Aznx 5/18/06 7:36:55 PM EDT: Do this problem for around 2 minutes bwang8 5/18/06 7:36:57 PM EDT: what's your plan Aznx 5/18/06 7:37:00 PM EDT: on a scratch piece of paper Quicksilver 5/18/06 7:37:00 PM EDT: Each inner square has 2 sticks they shar e with another Aznx 5/18/06 7:37:04 PM EDT: then share it with each other Aznx 5/18/06 7:37:05 PM EDT: ok? Quicksilver 5/18/06 7:37:28 PM EDT: ok bwang8 5/18/06 7:37:33 PM EDT: ok Quicksilver 5/18/06 7:37:48 PM EDT: Quicksilver 5/18/06 7:39:00 PM EDT: I'm thinking that we don't have a large square that surrounds it bwang8 5/18/06 7:39:15 PM EDT: yeah Quicksilver 5/18/06 7:39:21 PM EDT: I'm thinking we have the inner square such as these nine bwang8 5/18/06 7:39:22 PM EDT: we shouldn't use the big square bwang8 5/18/06 7:39:27 PM EDT: i think Quicksilver 5/18/06 7:39:35 PM EDT: then we add the outer four ones that have three sticks each Quicksilver 5/18/06 7:39:56 PM EDT: Then you just need the sticks for the square in the middle Aznx 5/18/06 7:40:40 PM EDT: lol Aznx 5/18/06 7:40:45 PM EDT: I figured it out. Aznx 5/18/06 7:40:49 PM EDT: on a much smaller scale Aznx 5/18/06 7:40:53 PM EDT: and it's much easier to understand Quicksilver 5/18/06 7:40:56 PM EDT: great tell us how bwang8 5/18/06 7:41:01 PM EDT: tell us Aznx 5/18/06 7:41:01 PM EDT: n(4n-1) bwang8 5/18/06 7:41:06 PM EDT: what is that Aznx 5/18/06 7:41:07 PM EDT: but i'm still not sure Aznx 5/18/06 7:41:10 PM EDT: how to explain it Aznx 5/18/06 7:41:13 PM EDT: it works though bwang8 5/18/06 7:41:20 PM EDT: let's see Aznx 5/18/06 7:41:20 PM EDT: I still need to double check it Quicksilver 5/18/06 7:41:22 PM EDT: that doesnt work... Aznx 5/18/06 7:41:23 PM EDT: with their formula Quicksilver 5/18/06 7:41:30 PM EDT: no but say n is one Aznx 5/18/06 7:41:39 PM EDT: yeah it's the same Quicksilver 5/18/06 7:41:43 PM EDT: that is equal to three Aznx 5/18/06 7:41:44 PM EDT: strabnge enough Quicksilver 5/18/06 7:41:45 PM EDT: right? Aznx 5/18/06 7:41:52 PM EDT: yeah Aznx 5/18/06 7:41:56 PM EDT: hm Quicksilver 5/18/06 7:41:58 PM EDT: so it doesnt work Aznx 5/18/06 7:42:02 PM EDT: mine doesn't work bwang8 5/18/06 7:42:16 PM EDT: I got a lead!!!!!!!111 bwang8 5/18/06 7:42:18 PM EDT: ok Aznx 5/18/06 7:42:19 PM EDT: Wait a second. Quicksilver 5/18/06 7:42:19 PM EDT: this was theirs righT? Aznx 5/18/06 7:42:25 PM EDT: No Aznx 5/18/06 7:42:28 PM EDT: it's the top oone bwang8 5/18/06 7:42:29 PM EDT: Quicksilver 5/18/06 7:42:32 PM EDT: lead? Quicksilver 5/18/06 7:42:40 PM EDT: oh whoops circled wrong one bwang8 5/18/06 7:42:46 PM EDT: bwang8 5/18/06 7:43:08 PM EDT: ok i think we need to divide the thing in half Aznx 5/18/06 7:43:16 PM EDT: Omg, I just solved their formula...and it turns out to be n(4n-1)! Quicksilver 5/18/06 7:43:17 PM EDT: so its symmetric? Aznx 5/18/06 7:43:22 PM EDT: what in the world? Aznx 5/18/06 7:43:26 PM EDT: am i going crazy? bwang8 5/18/06 7:43:26 PM EDT: don't consider the 4 cornors Aznx 5/18/06 7:43:29 PM EDT: someone check my work. Aznx 5/18/06 7:43:36 PM EDT: simplify their formula Quicksilver 5/18/06 7:43:51 PM EDT: k bwang8 5/18/06 7:43:55 PM EDT: what do you mean Aznx 5/18/06 7:44:30 PM EDT: 2(n^2+n^2-2n+1)+3n-2 bwang8 5/18/06 7:44:34 PM EDT: i don't see how you can simplify it Aznx 5/18/06 7:44:35 PM EDT: simply the formula Aznx 5/18/06 7:44:40 PM EDT: for the number of sticks Aznx 5/18/06 7:44:45 PM EDT: so that simplifies to... Aznx 5/18/06 7:45:45 PM EDT: I stil get the same. bwang8 5/18/06 7:46:20 PM EDT: how did you simplify it Aznx 5/18/06 7:46:27 PM EDT: um Aznx 5/18/06 7:46:32 PM EDT: square the n-1 Aznx 5/18/06 7:46:39 PM EDT: then multiply the whole thing by 2 Aznx 5/18/06 7:46:47 PM EDT: then multiply the 3 and n Aznx 5/18/06 7:46:51 PM EDT: and add it with that Aznx 5/18/06 7:46:57 PM EDT: and subtract by 2 bwang8 5/18/06 7:47:14 PM EDT: quicksliver Quicksilver 5/18/06 7:47:19 PM EDT: im lost bwang8 5/18/06 7:47:23 PM EDT: did you get the same answer Quicksilver 5/18/06 7:47:30 PM EDT: no Aznx 5/18/06 7:47:39 PM EDT: i'll do it on the board Quicksilver 5/18/06 7:47:44 PM EDT: yeah Aznx 5/18/06 7:47:48 PM EDT: Aznx 5/18/06 7:47:51 PM EDT: Aznx 5/18/06 7:47:52 PM EDT: Quicksilver 5/18/06 7:47:53 PM EDT: i got something totally difrent Aznx 5/18/06 7:47:53 PM EDT: Aznx 5/18/06 7:47:54 PM EDT: Aznx 5/18/06 7:47:55 PM EDT: Aznx 5/18/06 7:47:57 PM EDT: Aznx 5/18/06 7:47:58 PM EDT: Aznx 5/18/06 7:48:00 PM EDT: Aznx 5/18/06 7:48:01 PM EDT: Aznx 5/18/06 7:48:03 PM EDT: Aznx 5/18/06 7:48:06 PM EDT: Aznx 5/18/06 7:48:07 PM EDT: Aznx 5/18/06 7:48:11 PM EDT: Aznx 5/18/06 7:48:12 PM EDT: Aznx 5/18/06 7:48:14 PM EDT: Aznx 5/18/06 7:48:17 PM EDT: Aznx 5/18/06 7:48:18 PM EDT: Aznx 5/18/06 7:48:20 PM EDT: Aznx 5/18/06 7:48:21 PM EDT: Aznx 5/18/06 7:48:22 PM EDT: Aznx 5/18/06 7:48:26 PM EDT: Aznx 5/18/06 7:48:28 PM EDT: Aznx 5/18/06 7:48:30 PM EDT: Aznx 5/18/06 7:48:31 PM EDT: Aznx 5/18/06 7:48:33 PM EDT: Aznx 5/18/06 7:48:35 PM EDT: bwang8 5/18/06 7:48:36 PM EDT: so far i got $4*n^2+3*n$ Aznx 5/18/06 7:48:37 PM EDT: Aznx 5/18/06 7:48:39 PM EDT: Aznx 5/18/06 7:48:40 PM EDT: Aznx 5/18/06 7:48:43 PM EDT: Aznx 5/18/06 7:48:45 PM EDT: Aznx 5/18/06 7:48:46 PM EDT: Aznx 5/18/06 7:48:48 PM EDT: Aznx 5/18/06 7:48:50 PM EDT: Aznx 5/18/06 7:48:52 PM EDT: Aznx 5/18/06 7:48:53 PM EDT: Aznx 5/18/06 7:48:55 PM EDT: Quicksilver 5/18/06 7:48:55 PM EDT: indranil rite in the box Aznx 5/18/06 7:48:56 PM EDT: Aznx 5/18/06 7:48:57 PM EDT: Aznx 5/18/06 7:48:58 PM EDT: Aznx 5/18/06 7:48:59 PM EDT: Aznx 5/18/06 7:49:03 PM EDT: Aznx 5/18/06 7:49:04 PM EDT: Aznx 5/18/06 7:49:05 PM EDT: Aznx 5/18/06 7:49:07 PM EDT: Aznx 5/18/06 7:49:07 PM EDT: Aznx 5/18/06 7:49:09 PM EDT: Aznx 5/18/06 7:49:11 PM EDT: Aznx 5/18/06 7:49:11 PM EDT: Aznx 5/18/06 7:49:16 PM EDT: bwang8 5/18/06 7:49:17 PM EDT: i mean 4n^2-n Aznx 5/18/06 7:49:17 PM EDT: Aznx 5/18/06 7:49:19 PM EDT: Aznx 5/18/06 7:49:21 PM EDT: Aznx 5/18/06 7:49:22 PM EDT: Aznx 5/18/06 7:49:23 PM EDT: Aznx 5/18/06 7:49:26 PM EDT: EXactly Aznx 5/18/06 7:49:27 PM EDT: Aznx 5/18/06 7:49:28 PM EDT: Aznx 5/18/06 7:49:34 PM EDT: Aznx 5/18/06 7:49:36 PM EDT: Aznx 5/18/06 7:49:38 PM EDT: Quicksilver 5/18/06 7:49:40 PM EDT: yea that waht azn x got eralier Aznx 5/18/06 7:49:41 PM EDT: Aznx 5/18/06 7:49:42 PM EDT: Aznx 5/18/06 7:49:45 PM EDT: Aznx 5/18/06 7:49:45 PM EDT: Aznx 5/18/06 7:49:47 PM EDT: Aznx 5/18/06 7:49:49 PM EDT: Aznx 5/18/06 7:49:55 PM EDT: Aznx 5/18/06 7:49:58 PM EDT: Aznx 5/18/06 7:50:00 PM EDT: bwang8 5/18/06 7:50:00 PM EDT: holy Aznx 5/18/06 7:50:01 PM EDT: Aznx 5/18/06 7:50:01 PM EDT: Aznx 5/18/06 7:50:03 PM EDT: bwang8 5/18/06 7:50:03 PM EDT: moley Aznx 5/18/06 7:50:04 PM EDT: Aznx 5/18/06 7:50:05 PM EDT: Quicksilver 5/18/06 7:50:05 PM EDT: whyd u multiply by the two Aznx 5/18/06 7:50:06 PM EDT: bwang8 5/18/06 7:50:13 PM EDT: i think their equation was wrong Aznx 5/18/06 7:50:15 PM EDT: It's in the equation Quicksilver 5/18/06 7:50:19 PM EDT: oh Aznx 5/18/06 7:50:20 PM EDT: Whoa dang Quicksilver 5/18/06 7:50:25 PM EDT: i missed that then Aznx 5/18/06 7:50:25 PM EDT: their equation is wrong! Aznx 5/18/06 7:50:27 PM EDT: lol Quicksilver 5/18/06 7:50:28 PM EDT: thats why i was off Aznx 5/18/06 7:50:36 PM EDT: and concidentally, that's what i got bwang8 5/18/06 7:50:37 PM EDT: because the simplified one wouln't solve the problem Aznx 5/18/06 7:50:41 PM EDT: i was thinking about the sides bwang8 5/18/06 7:50:48 PM EDT: why don't we use it on some other level Aznx 5/18/06 7:50:52 PM EDT: and thought there had to be 4n somehwere in the scenario bwang8 5/18/06 7:50:56 PM EDT: see if it works Quicksilver 5/18/06 7:50:57 PM EDT: lol Aznx 5/18/06 7:51:00 PM EDT: it doesnt Quicksilver 5/18/06 7:51:01 PM EDT: never assume Aznx 5/18/06 7:51:05 PM EDT: it doesnt work Quicksilver 5/18/06 7:51:12 PM EDT: it didn't work for one Aznx 5/18/06 7:51:13 PM EDT: quicksilver tried it with 1 bwang8 5/18/06 7:51:17 PM EDT: 2 Quicksilver 5/18/06 7:51:23 PM EDT: no Aznx 5/18/06 7:51:36 PM EDT: nope bwang8 5/18/06 7:51:51 PM EDT: nope they got 3 wrong too Aznx 5/18/06 7:51:59 PM EDT: Greg? bwang8 5/18/06 7:52:00 PM EDT: there are 36 sticks Quicksilver 5/18/06 7:52:04 PM EDT: greg? Aznx 5/18/06 7:52:05 PM EDT: I mean, Gerry? =P Quicksilver 5/18/06 7:52:10 PM EDT: lol bwang8 5/18/06 7:52:11 PM EDT: but they only can get 33 bwang8 5/18/06 7:52:21 PM EDT: ok Aznx 5/18/06 7:52:29 PM EDT: Gerry? bwang8 5/18/06 7:52:30 PM EDT: let's find out the real solution Quicksilver 5/18/06 7:52:34 PM EDT: yeah Gerry 5/18/06 7:52:40 PM EDT: What? Aznx 5/18/06 7:52:48 PM EDT: Their thing doesn't work. Aznx 5/18/06 7:52:56 PM EDT: We tried it. Gerry 5/18/06 7:53:18 PM EDT: I know you tried it. I saw. Quicksilver 5/18/06 7:53:24 PM EDT: lol Quicksilver 5/18/06 7:53:32 PM EDT: anyway Gerry 5/18/06 7:53:32 PM EDT: It does not even work for one square Aznx 5/18/06 7:53:33 PM EDT: So what do you think? Quicksilver 5/18/06 7:53:40 PM EDT: lets find the real answer Aznx 5/18/06 7:53:43 PM EDT: So their solution was wrong right? Aznx 5/18/06 7:53:49 PM EDT: Yeah, let's find it out. Aznx 5/18/06 7:53:57 PM EDT: But I want to make sure thgat it was wrong. Gerry 5/18/06 7:53:59 PM EDT: looks that way, doesn't it? Aznx 5/18/06 7:54:07 PM EDT: Yeah it does. Quicksilver 5/18/06 7:54:07 PM EDT: we basically proved it Quicksilver 5/18/06 7:54:19 PM EDT: we must put that on the wiki bwang8 5/18/06 7:54:23 PM EDT: Gerry 5/18/06 7:54:25 PM EDT: How about their solution for the # of blocks? bwang8 5/18/06 7:54:26 PM EDT: bwang8 5/18/06 7:54:30 PM EDT: bwang8 5/18/06 7:54:31 PM EDT: bwang8 5/18/06 7:54:36 PM EDT: bwang8 5/18/06 7:54:37 PM EDT: bwang8 5/18/06 7:54:39 PM EDT: bwang8 5/18/06 7:54:40 PM EDT: bwang8 5/18/06 7:54:41 PM EDT: bwang8 5/18/06 7:54:42 PM EDT: bwang8 5/18/06 7:54:44 PM EDT: bwang8 5/18/06 7:54:45 PM EDT: bwang8 5/18/06 7:54:47 PM EDT: bwang8 5/18/06 7:54:48 PM EDT: bwang8 5/18/06 7:54:49 PM EDT: bwang8 5/18/06 7:54:51 PM EDT: bwang8 5/18/06 7:54:52 PM EDT: bwang8 5/18/06 7:54:53 PM EDT: bwang8 5/18/06 7:54:59 PM EDT: bwang8 5/18/06 7:55:00 PM EDT: Aznx 5/18/06 7:55:07 PM EDT: Aznx 5/18/06 7:55:07 PM EDT: Aznx 5/18/06 7:55:08 PM EDT: Aznx 5/18/06 7:55:08 PM EDT: Aznx 5/18/06 7:55:09 PM EDT: Aznx 5/18/06 7:55:10 PM EDT: Aznx 5/18/06 7:55:11 PM EDT: Aznx 5/18/06 7:55:12 PM EDT: Aznx 5/18/06 7:55:13 PM EDT: Aznx 5/18/06 7:55:16 PM EDT: bwang8 5/18/06 7:55:17 PM EDT: look at this thing i drew Gerry 5/18/06 7:55:17 PM EDT: Did you get a different formula than theirs? Aznx 5/18/06 7:55:17 PM EDT: Aznx 5/18/06 7:55:21 PM EDT: Aznx 5/18/06 7:55:22 PM EDT: bwang8 5/18/06 7:55:23 PM EDT: it is the second level Aznx 5/18/06 7:55:23 PM EDT: Aznx 5/18/06 7:55:24 PM EDT: Aznx 5/18/06 7:55:26 PM EDT: Aznx 5/18/06 7:55:27 PM EDT: Aznx 5/18/06 7:55:28 PM EDT: bwang8 5/18/06 7:55:36 PM EDT: divide it in half Aznx 5/18/06 7:55:37 PM EDT: Aznx 5/18/06 7:55:38 PM EDT: Aznx 5/18/06 7:55:42 PM EDT: Aznx 5/18/06 7:55:44 PM EDT: Aznx 5/18/06 7:55:45 PM EDT: Aznx 5/18/06 7:55:46 PM EDT: Aznx 5/18/06 7:55:49 PM EDT: bwang8 5/18/06 7:55:49 PM EDT: you will get the 1 3 3 1 sequence Aznx 5/18/06 7:55:52 PM EDT: Aznx 5/18/06 7:55:53 PM EDT: Aznx 5/18/06 7:55:54 PM EDT: Quicksilver 5/18/06 7:55:54 PM EDT: well not really Aznx 5/18/06 7:55:54 PM EDT: Aznx 5/18/06 7:55:56 PM EDT: Aznx 5/18/06 7:55:57 PM EDT: Aznx 5/18/06 7:55:59 PM EDT: Aznx 5/18/06 7:55:59 PM EDT: Quicksilver 5/18/06 7:56:00 PM EDT: we devised our own process Aznx 5/18/06 7:56:00 PM EDT: Aznx 5/18/06 7:56:03 PM EDT: Aznx 5/18/06 7:56:04 PM EDT: Aznx 5/18/06 7:56:05 PM EDT: Aznx 5/18/06 7:56:06 PM EDT: Aznx 5/18/06 7:56:07 PM EDT: bwang8 5/18/06 7:56:08 PM EDT: when you have 3rd level Aznx 5/18/06 7:56:08 PM EDT: Aznx 5/18/06 7:56:09 PM EDT: Aznx 5/18/06 7:56:11 PM EDT: Aznx 5/18/06 7:56:12 PM EDT: Aznx 5/18/06 7:56:13 PM EDT: Aznx 5/18/06 7:56:13 PM EDT: Aznx 5/18/06 7:56:16 PM EDT: Aznx 5/18/06 7:56:17 PM EDT: Aznx 5/18/06 7:56:19 PM EDT: bwang8 5/18/06 7:56:20 PM EDT: you get 1 3 5 5 3 1 sequence Aznx 5/18/06 7:56:22 PM EDT: Aznx 5/18/06 7:56:26 PM EDT: Aznx 5/18/06 7:56:27 PM EDT: Aznx 5/18/06 7:56:29 PM EDT: Aznx 5/18/06 7:56:30 PM EDT: bwang8 5/18/06 7:56:34 PM EDT: 4th 1 3 5 7 7 5 3 1 sequence Quicksilver 5/18/06 7:56:38 PM EDT: pascalls triangle numbers? bwang8 5/18/06 7:56:39 PM EDT: seeing a pattern here bwang8 5/18/06 7:56:45 PM EDT: i don't know bwang8 5/18/06 7:57:00 PM EDT: but there is a equation to summarize it Quicksilver 5/18/06 7:57:01 PM EDT: hey aznx what are the pascals triangles first few rows? Quicksilver 5/18/06 7:57:04 PM EDT: I don't think it is these Aznx 5/18/06 7:57:17 PM EDT: huh? bwang8 5/18/06 7:57:17 PM EDT: well i have to go Aznx 5/18/06 7:57:24 PM EDT: Quicksilver 5/18/06 7:57:25 PM EDT: oh Aznx 5/18/06 7:57:27 PM EDT: Quicksilver 5/18/06 7:57:27 PM EDT: wel... Aznx 5/18/06 7:57:28 PM EDT: Aznx 5/18/06 7:57:29 PM EDT: Aznx 5/18/06 7:57:31 PM EDT: Aznx 5/18/06 7:57:31 PM EDT: bwang8 5/18/06 7:57:32 PM EDT: the library that i am working at is closing Aznx 5/18/06 7:57:32 PM EDT: Aznx 5/18/06 7:57:33 PM EDT: Aznx 5/18/06 7:57:34 PM EDT: Quicksilver 5/18/06 7:57:34 PM EDT: too bad this was the last time Aznx 5/18/06 7:57:36 PM EDT: Aznx 5/18/06 7:57:37 PM EDT: Aznx 5/18/06 7:57:38 PM EDT: Quicksilver 5/18/06 7:57:38 PM EDT: oh Aznx 5/18/06 7:57:39 PM EDT: Aznx 5/18/06 7:57:40 PM EDT: Aznx 5/18/06 7:57:41 PM EDT: Aznx 5/18/06 7:57:42 PM EDT: bwang8 5/18/06 7:57:43 PM EDT: i can come back later Aznx 5/18/06 7:57:43 PM EDT: Aznx 5/18/06 7:57:44 PM EDT: Aznx 5/18/06 7:57:44 PM EDT: Aznx 5/18/06 7:57:47 PM EDT: Aznx 5/18/06 7:57:47 PM EDT: Aznx 5/18/06 7:57:48 PM EDT: Aznx 5/18/06 7:57:50 PM EDT: Aznx 5/18/06 7:57:51 PM EDT: bwang8 5/18/06 7:57:52 PM EDT: bye Aznx 5/18/06 7:57:52 PM EDT: Aznx 5/18/06 7:57:53 PM EDT: Quicksilver 5/18/06 7:57:54 PM EDT: but htis is the last session right? Aznx 5/18/06 7:57:55 PM EDT: Quicksilver 5/18/06 7:57:55 PM EDT: bye Aznx 5/18/06 7:57:56 PM EDT: Aznx 5/18/06 7:57:57 PM EDT: bwang8 5/18/06 7:57:58 PM EDT: leaves the room Aznx 5/18/06 7:58:02 PM EDT: Ok. Aznx 5/18/06 7:58:07 PM EDT: So what were you saying? Quicksilver 5/18/06 7:58:19 PM EDT: it might have been pascals triangle numbers Aznx 5/18/06 7:58:29 PM EDT: Which ones? Quicksilver 5/18/06 7:58:48 PM EDT: these and the ones above Aznx 5/18/06 7:58:58 PM EDT: The triangular numbers? Quicksilver 5/18/06 7:59:20 PM EDT: look above Aznx 5/18/06 7:59:22 PM EDT: Oh. Quicksilver 5/18/06 7:59:26 PM EDT: bwang gave a list of numbers Aznx 5/18/06 7:59:36 PM EDT: They do. Aznx 5/18/06 7:59:48 PM EDT: They are, I should say. Quicksilver 5/18/06 8:00:25 PM EDT: does that help us ? Aznx 5/18/06 8:00:43 PM EDT: I dunno, Aznx 5/18/06 8:00:53 PM EDT: We might be able to come up with a fromula from that Aznx 5/18/06 8:00:59 PM EDT: it is a sequence of a sort Quicksilver 5/18/06 8:01:21 PM EDT: but it is neither arithmetic notr geometric Aznx 5/18/06 8:01:28 PM EDT: yeah Aznx 5/18/06 8:01:42 PM EDT: I think we should research on it. Aznx 5/18/06 8:02:05 PM EDT: And I'm not writing today's wiki. =P Quicksilver 5/18/06 8:02:07 PM EDT: we have like ten minutes Aznx 5/18/06 8:02:15 PM EDT: So when are we meeting again? Quicksilver 5/18/06 8:02:32 PM EDT: Hey gerry....didn't you say it could be arranged for us to meet again Gerry 5/18/06 8:02:58 PM EDT: Would you like to continue working with your team after tonight? Quicksilver 5/18/06 8:03:05 PM EDT: yes Aznx 5/18/06 8:03:10 PM EDT: Yeah, definetely. Quicksilver 5/18/06 8:03:11 PM EDT: this is rather interesting Quicksilver 5/18/06 8:03:23 PM EDT: we keep finding problems that we don't have time to finish in one meeting Aznx 5/18/06 8:03:29 PM EDT: It'd be fun to research on pascal's triangles anyways. 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? Aznx 5/18/06 8:03:39 PM EDT: And we'll actually solve this problewm very throroughly. 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 Aznx 5/18/06 8:04:28 PM EDT: WE bring up interesting points in a problem. Quicksilver 5/18/06 8:04:29 PM EDT: we were able to learn more from those times Aznx 5/18/06 8:04:31 PM EDT: and go fro them Aznx 5/18/06 8:04:43 PM EDT: from there, we like derive a million sorts of ideas Quicksilver 5/18/06 8:04:43 PM EDT: everyone got to share their own views and explain it to the others Aznx 5/18/06 8:04:47 PM EDT: yeah Aznx 5/18/06 8:04:51 PM EDT: and through that Aznx 5/18/06 8:04:55 PM EDT: we all learned from each other Quicksilver 5/18/06 8:05:00 PM EDT: And not only were these times interestin, they were flun Aznx 5/18/06 8:05:04 PM EDT: on how to approach different even a single problem Quicksilver 5/18/06 8:05:09 PM EDT: we got to listen to each other and their thoughts Quicksilver 5/18/06 8:05:18 PM EDT: sometimes we argued, but we learned somehting every meeting Aznx 5/18/06 8:05:31 PM EDT: Plus, when one didn't understand, we always made sure that person did. Quicksilver 5/18/06 8:05:40 PM EDT: as far as doing collaborative math, this is about hte first time 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. Quicksilver 5/18/06 8:06:11 PM EDT: So it's over then isn't it? Quicksilver 5/18/06 8:06:24 PM EDT: No more meetings =( Gerry 5/18/06 8:06:29 PM EDT: No. Quicksilver 5/18/06 8:06:46 PM EDT: Oh well, maybe we can start a club like this at school Gerry 5/18/06 8:06:47 PM EDT: We will give you feedback and you can always come back. Gerry 5/18/06 8:07:01 PM EDT: You can come back to this room Quicksilver 5/18/06 8:07:06 PM EDT: Ok t hanks Aznx 5/18/06 8:07:11 PM EDT: When can we see the feedback? Aznx 5/18/06 8:07:16 PM EDT: Tomorrow? Gerry 5/18/06 8:07:20 PM EDT: Or you can come to the lobby and explore a different room Quicksilver 5/18/06 8:07:34 PM EDT: Will u hold this again next year? Gerry 5/18/06 8:07:49 PM EDT: You can even create your own rooms in the lobby and invite friends there Quicksilver 5/18/06 8:07:58 PM EDT: olk Gerry 5/18/06 8:08:10 PM EDT: We will be doing new topics a lot next year Quicksilver 5/18/06 8:08:17 PM EDT: ok Quicksilver 5/18/06 8:08:18 PM EDT: Aznx 5/18/06 8:08:32 PM EDT: So we can see the feedback tomorrow? 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. Quicksilver 5/18/06 8:08:52 PM EDT: That sounds good Quicksilver 5/18/06 8:09:01 PM EDT: WEll, it's goodbye then Quicksilver 5/18/06 8:09:21 PM EDT: I 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 Quicksilver 5/18/06 8:09:30 PM EDT: ok Quicksilver 5/18/06 8:09:37 PM EDT: i have time Aznx 5/18/06 8:09:45 PM EDT: me too 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? bwang8 5/18/06 8:11:20 PM EDT: joins the room Quicksilver 5/18/06 8:11:30 PM EDT: hey! bwang8 5/18/06 8:11:30 PM EDT: i am finally here Quicksilver 5/18/06 8:11:35 PM EDT: we're getting some feedback 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 Aznx 5/18/06 8:11:51 PM EDT: For 1, they are equivalent. Aznx 5/18/06 8:11:58 PM EDT: and ours was simplified as well. bwang8 5/18/06 8:12:01 PM EDT: i ran to my mom's office and am now using her computer Quicksilver 5/18/06 8:12:30 PM EDT: yea, ours should just be a simplified version of theirs bwang8 5/18/06 8:12:31 PM EDT: bwang8 5/18/06 8:12:36 PM EDT: ok Aznx 5/18/06 8:12:48 PM EDT: For 2, I am going to research on the pascal's triangle and recursion more. bwang8 5/18/06 8:12:56 PM EDT: did you guys came up with the new formula Quicksilver 5/18/06 8:13:01 PM EDT: no Aznx 5/18/06 8:13:03 PM EDT: no we didn't Aznx 5/18/06 8:13:10 PM EDT: we were discussing on the future of this class Aznx 5/18/06 8:13:12 PM EDT: /event 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. bwang8 5/18/06 8:13:35 PM EDT: ok Aznx 5/18/06 8:13:37 PM EDT: ok Gerry 5/18/06 8:13:42 PM EDT: You can go to this room anytime. You do not need me there any more Quicksilver 5/18/06 8:13:43 PM EDT: sure 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 bwang8 5/18/06 8:14:44 PM EDT: ok Aznx 5/18/06 8:14:52 PM EDT: k Quicksilver 5/18/06 8:14:58 PM EDT: thats good Quicksilver 5/18/06 8:15:04 PM EDT: its a way to discuss 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 Quicksilver 5/18/06 8:15:52 PM EDT: Thank you bwang8 5/18/06 8:15:57 PM EDT: it is fun being here Aznx 5/18/06 8:16:02 PM EDT: Thanks. What's the name of the topic you created for us? Quicksilver 5/18/06 8:16:04 PM EDT: Thanks for guiding us, and yes it was very fun Aznx 5/18/06 8:16:07 PM EDT: Yeah, it's definetely fun. bwang8 5/18/06 8:16:20 PM EDT: yes, thank you bwang8 5/18/06 8:16:36 PM EDT: where is the room you made us? Quicksilver 5/18/06 8:16:51 PM EDT: It should be in open rooms, but we don't know the name bwang8 5/18/06 8:17:05 PM EDT: ok bwang8 5/18/06 8:17:20 PM EDT: i think we are very close to solving the problem here Quicksilver 5/18/06 8:17:35 PM EDT: Oh great...I have to leave Aznx 5/18/06 8:17:39 PM EDT: We can solve on that topic. Quicksilver 5/18/06 8:17:42 PM EDT: Sorry guys bwang8 5/18/06 8:17:45 PM EDT: oh Aznx 5/18/06 8:17:46 PM EDT: It shouldn't take much time. bwang8 5/18/06 8:17:47 PM EDT: ok Aznx 5/18/06 8:17:50 PM EDT: k, bye aditya Quicksilver 5/18/06 8:17:52 PM EDT: Just tell me the name of the room bwang8 5/18/06 8:17:52 PM EDT: bye Gerry 5/18/06 8:18:14 PM EDT: The new room is in the lobby under Open Rooms Gerry 5/18/06 8:18:44 PM EDT: It is under The Grid World. It has your names on it Quicksilver 5/18/06 8:18:49 PM EDT: leaves the room Aznx 5/18/06 8:19:00 PM EDT: Alright found it. Aznx 5/18/06 8:19:04 PM EDT: Thanks. Aznx 5/18/06 8:19:12 PM EDT: I guess we should leave then. bwang8 5/18/06 8:19:34 PM EDT: well do you want to solve the problem bwang8 5/18/06 8:19:36 PM EDT: i mean bwang8 5/18/06 8:19:39 PM EDT: we are close Aznx 5/18/06 8:19:48 PM EDT: Alright. bwang8 5/18/06 8:19:51 PM EDT: i don't want to wait til tomorrow bwang8 5/18/06 8:19:53 PM EDT: ok Aznx 5/18/06 8:19:55 PM EDT: How do you want to approach it? bwang8 5/18/06 8:20:14 PM EDT: 1st level have 1*4 Gerry 5/18/06 8:20:20 PM EDT: You can put something on the wiki to summarize what you found today bwang8 5/18/06 8:20:29 PM EDT: 2st level have (1+3)*4 Aznx 5/18/06 8:20:32 PM EDT: bwang you put it. Aznx 5/18/06 8:20:35 PM EDT: for the wiki bwang8 5/18/06 8:20:37 PM EDT: ok Aznx 5/18/06 8:20:42 PM EDT: we actually did quite a lot today bwang8 5/18/06 8:20:53 PM EDT: 3rd level have (1+3+5)*4 bwang8 5/18/06 8:21:05 PM EDT: 4th level have (1+3+5+7)*4 Gerry 5/18/06 8:21:10 PM EDT: This is a nice way to solve it Aznx 5/18/06 8:21:12 PM EDT: So it's a pattern of +2s? Aznx 5/18/06 8:21:15 PM EDT: Ah ha! bwang8 5/18/06 8:21:15 PM EDT: yes Aznx 5/18/06 8:21:20 PM EDT: There's the pattern! bwang8 5/18/06 8:21:39 PM EDT: now we have to find a equation that describe that pattern Aznx 5/18/06 8:21:49 PM EDT: Hold on. Aznx 5/18/06 8:21:51 PM EDT: I know it. bwang8 5/18/06 8:21:57 PM EDT: what is it Aznx 5/18/06 8:21:58 PM EDT: But I'm trying to remember it. =P Aznx 5/18/06 8:22:04 PM EDT: and explain it as well. Aznx 5/18/06 8:22:17 PM EDT: try and think of it Gerry 5/18/06 8:22:53 PM EDT: Maybe Quicksilver can come back here tomorrow or next week to finish it with you Gerry 5/18/06 8:23:01 PM EDT: I have to go now Gerry 5/18/06 8:23:05 PM EDT: Bye! bwang8 5/18/06 8:23:06 PM EDT: ok bwang8 5/18/06 8:23:07 PM EDT: bye Gerry 5/18/06 8:23:23 PM EDT: leaves the room bwang8 5/18/06 8:23:29 PM EDT: ok bwang8 5/18/06 8:23:32 PM EDT: so bwang8 5/18/06 8:23:37 PM EDT: i think it is this Aznx 5/18/06 8:23:53 PM EDT: ok Aznx 5/18/06 8:23:55 PM EDT: i found it Aznx 5/18/06 8:24:00 PM EDT: n^2 bwang8 5/18/06 8:24:01 PM EDT: (2*n)*n/2 Aznx 5/18/06 8:24:09 PM EDT: or (n/2)^2 Aznx 5/18/06 8:24:14 PM EDT: I'm simplifying Aznx 5/18/06 8:24:30 PM EDT: if u simplify urs Aznx 5/18/06 8:24:35 PM EDT: its n^2 Aznx 5/18/06 8:24:59 PM EDT: bwang Aznx 5/18/06 8:25:01 PM EDT: you there? bwang8 5/18/06 8:25:03 PM EDT: so that's wrong bwang8 5/18/06 8:25:07 PM EDT: yeah bwang8 5/18/06 8:25:08 PM EDT: i am here Aznx 5/18/06 8:25:11 PM EDT: so Aznx 5/18/06 8:25:13 PM EDT: the formula Aznx 5/18/06 8:25:22 PM EDT: would be 4n^2? bwang8 5/18/06 8:25:28 PM EDT: let's check bwang8 5/18/06 8:25:55 PM EDT: yes bwang8 5/18/06 8:26:00 PM EDT: it actually is Aznx 5/18/06 8:26:02 PM EDT: So we got it! bwang8 5/18/06 8:26:02 PM EDT: omg Aznx 5/18/06 8:26:04 PM EDT: yay! bwang8 5/18/06 8:26:08 PM EDT: i think we got it!!!!!!!!!!!! Aznx 5/18/06 8:26:12 PM EDT: WE DID IT!!!!!! bwang8 5/18/06 8:26:12 PM EDT: and it is so simple Aznx 5/18/06 8:26:14 PM EDT: YAY!!!! Aznx 5/18/06 8:26:16 PM EDT: i know bwang8 5/18/06 8:26:17 PM EDT: lol Aznx 5/18/06 8:26:18 PM EDT: lol Aznx 5/18/06 8:26:34 PM EDT: So you're putting it in the wiki, right? bwang8 5/18/06 8:26:37 PM EDT: yes Aznx 5/18/06 8:26:41 PM EDT: Alright then. bwang8 5/18/06 8:26:43 PM EDT: ok Aznx 5/18/06 8:26:53 PM EDT: Give an email to Gery, telling him that we got it. =) bwang8 5/18/06 8:26:57 PM EDT: ok Aznx 5/18/06 8:26:59 PM EDT: I meant Gerry bwang8 5/18/06 8:27:04 PM EDT: are you going to do it bwang8 5/18/06 8:27:07 PM EDT: or am i Aznx 5/18/06 8:27:12 PM EDT: You do it. bwang8 5/18/06 8:27:14 PM EDT: ok Aznx 5/18/06 8:27:19 PM EDT: Tell him that we both dervied n^2 Aznx 5/18/06 8:27:29 PM EDT: And then we saw that pattern Aznx 5/18/06 8:27:37 PM EDT: and we got the formula Aznx 5/18/06 8:27:44 PM EDT: when should we meet again? Aznx 5/18/06 8:27:49 PM EDT: hat's your email? Aznx 5/18/06 8:27:52 PM EDT: we should keep in touch bwang8 5/18/06 8:27:57 PM EDT: yeah bwang8 5/18/06 8:28:09 PM EDT: next tuesday? Aznx 5/18/06 8:28:18 PM EDT: next thursday,... Aznx 5/18/06 8:28:21 PM EDT: sounds good to me bwang8 5/18/06 8:28:29 PM EDT: next thursday bwang8 5/18/06 8:28:31 PM EDT: ok Aznx 5/18/06 8:28:31 PM EDT: give me your email so i can tell you if its ok with quicksilver bwang8 5/18/06 8:28:35 PM EDT: it is fine by me Aznx 5/18/06 8:28:35 PM EDT: same time right? bwang8 5/18/06 8:28:51 PM EDT: maybe start at 5:30 Aznx 5/18/06 8:28:59 PM EDT: hm Aznx 5/18/06 8:29:00 PM EDT: ok Aznx 5/18/06 8:29:03 PM EDT: email? bwang8 5/18/06 8:29:04 PM EDT: ok bwang8 5/18/06 8:29:11 PM EDT: thy413@gmail.com Aznx 5/18/06 8:29:15 PM EDT: mine is superravenclaw@gmial.com bwang8 5/18/06 8:29:27 PM EDT: hey we both have gamil bwang8 5/18/06 8:29:30 PM EDT: lol Aznx 5/18/06 8:29:32 PM EDT: lol Aznx 5/18/06 8:29:35 PM EDT: u have gtalk? Aznx 5/18/06 8:29:52 PM EDT: its the chat messaging system Aznx 5/18/06 8:29:55 PM EDT: for gmail users bwang8 5/18/06 8:30:00 PM EDT: yes Aznx 5/18/06 8:30:05 PM EDT: you have it? Aznx 5/18/06 8:30:09 PM EDT: is it on right now? Aznx 5/18/06 8:30:12 PM EDT: i'll invite you bwang8 5/18/06 8:30:12 PM EDT: i think so bwang8 5/18/06 8:30:15 PM EDT: ok Aznx 5/18/06 8:30:35 PM EDT: yeah i added you Aznx 5/18/06 8:32:21 PM EDT: leaves the room Aznx 5/18/06 8:33:01 PM EDT: joins the room Aznx 5/18/06 8:33:11 PM EDT: leaves the room 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. bwang8 5/18/06 8:41:01 PM EDT: bwang8 5/18/06 9:24:12 PM EDT: leaves the room Quicksilver 5/18/06 9:50:52 PM EDT: joins the room Quicksilver 5/18/06 9:51:28 PM EDT: leaves the room Quicksilver 5/19/06 9:59:41 AM EDT: joins the room Quicksilver 5/19/06 10:00:40 AM EDT: leaves the room tutor 5/19/06 5:00:59 PM EDT: joins the room tutor 5/19/06 5:03:17 PM EDT: leaves the room Aznx 5/21/06 3:10:50 AM EDT: joins the room Aznx 5/21/06 3:11:20 AM EDT: leaves the room Aznx 5/21/06 3:11:24 AM EDT: joins the room Aznx 5/21/06 3:27:53 AM EDT: leaves the room Quicksilver 5/21/06 12:47:02 PM EDT: joins the room Quicksilver 5/21/06 12:48:12 PM EDT: leaves the room Gerry 5/22/06 4:16:53 PM EDT: joins the room 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 Gerry 5/22/06 4:27:33 PM EDT: leaves the room bwang8 5/23/06 6:31:30 PM EDT: joins the room bwang8 5/23/06 6:32:15 PM EDT: bwang8 5/23/06 6:32:30 PM EDT: leaves the room Aznx 5/25/06 8:28:54 PM EDT: joins the room Aznx 5/25/06 8:29:52 PM EDT: leaves the room bwang8 5/26/06 12:42:04 AM EDT: joins the room bwang8 5/26/06 12:43:40 AM EDT: leaves the room bwang8 5/26/06 12:45:36 AM EDT: joins the room bwang8 5/26/06 12:45:52 AM EDT: leaves the room Gerry 5/31/06 2:17:20 PM EDT: joins the room tutor 5/31/06 2:20:48 PM EDT: joins the room tutor 5/31/06 2:25:41 PM EDT: joins the room tutor 5/31/06 4:29:18 PM EDT: leaves the room Gerry 5/31/06 4:49:04 PM EDT: leaves the room Quicksilver 6/3/06 9:19:24 PM EDT: joins the room Quicksilver 6/3/06 9:19:57 PM EDT: leaves the room Quicksilver 6/3/06 9:20:51 PM EDT: joins the room Quicksilver 6/3/06 9:21:11 PM EDT: leaves the room
