Message Board Basketball Forum - InsideHoops A little thinking game..
 User Name Remember Me? Password
 FAQ Members List Calendar Mark Forums Read

 Off the Court Lounge Basketball fans talk about everything EXCEPT basketball here

07-29-2012, 07:02 PM   #16
REACTION
HYRYSICPT?

Join Date: Dec 2011
Posts: 653
Re: A little thinking game..

Quote:
 Originally Posted by Faptastrophe An n x n grid will have a total of n2 + (n - 1)2 + ... + 22 + 12 squares. The picture has one 4 x 4 square and two 2 x 2 squares. There are 42 + 32 + 22 + 12 = 16 + 9 + 4 + 1 = 30 squares in the 4 x 4, and there are 22 + 12 = 4 + 1 = 5 squares in each 2 x 2. Thus, there are a total of 30 + 2 * 5 = 40 squares.

Do you mean n^2 instead of n2? Not sure what formula you're using. But I'm assuming those are meant to be powers instead of multipliers, right?

The formula for the larger squares that makes sense to me is f(x) = (x(x+1)(2x+1))/6 where x = 4. f(4) gives you (4 * 5 * 9)/6 = 30 total squares for the larger ones. Then I'd add the 10 total combinations of the smaller squares. I think we're basically doing the same thing to arrive at 40 though.

07-29-2012, 07:05 PM   #17
Myth
NBA Legend and Hall of Famer

Join Date: Jul 2007
Location: Arizona
Posts: 23,965
Re: A little thinking game..

Quote:
 Originally Posted by REACTION Do you mean n^2 instead of n2? Not sure what formula you're using. But I'm assuming those are meant to be powers instead of multipliers, right? The formula for the larger squares that makes sense to me is f(x) = (x(x+1)(2x+1))/6 where x = 4. f(4) gives you (4 * 5 * 9)/6 = 30 total squares for the larger ones. Then I'd add the 10 total combinations of the smaller squares. I think we're basically doing the same thing to arrive at 40 though.

I just counted.

 07-29-2012, 07:09 PM #18 ballup I done killed it     Join Date: Dec 2010 Location: The Snow Tomb Posts: 14,838 Re: A little thinking game.. I got 39 and I counted the big square.
07-29-2012, 07:10 PM   #19
REACTION
HYRYSICPT?

Join Date: Dec 2011
Posts: 653
Re: A little thinking game..

Quote:
 Originally Posted by Myth I just counted.

Well, what if it were a 100x100 square?

07-29-2012, 07:11 PM   #20
Myth
NBA Legend and Hall of Famer

Join Date: Jul 2007
Location: Arizona
Posts: 23,965
Re: A little thinking game..

Quote:
 Originally Posted by REACTION Well, what if it were a 100x100 square?

Then a math formula would be more necessary, but for this it is just overkill because I counted them in less than 10 seconds.

07-29-2012, 07:13 PM   #21
b1imtf
raep tiem

Join Date: Feb 2011
Location: k?
Posts: 10,836
Re: A little thinking game..

Quote:
 Originally Posted by Faptastrophe An n x n grid will have a total of n2 + (n - 1)2 + ... + 22 + 12 squares. The picture has one 4 x 4 square and two 2 x 2 squares. There are 42 + 32 + 22 + 12 = 16 + 9 + 4 + 1 = 30 squares in the 4 x 4, and there are 22 + 12 = 4 + 1 = 5 squares in each 2 x 2. Thus, there are a total of 30 + 2 * 5 = 40 squares.
[IMG][/IMG]

07-29-2012, 08:58 PM   #22
Richie2k6
Smooth Like Butter

Join Date: Mar 2007
Posts: 9,904
Re: A little thinking game..

Quote:
 Originally Posted by b1imtf [IMG][/IMG]

07-29-2012, 09:00 PM   #23
Faptastrophe
Rivalries Never Die

Join Date: Dec 2011
Location: LV
Posts: 3,568
Re: A little thinking game..

Quote:
 Originally Posted by REACTION Do you mean n^2 instead of n2? Not sure what formula you're using. But I'm assuming those are meant to be powers instead of multipliers, right? The formula for the larger squares that makes sense to me is f(x) = (x(x+1)(2x+1))/6 where x = 4. f(4) gives you (4 * 5 * 9)/6 = 30 total squares for the larger ones. Then I'd add the 10 total combinations of the smaller squares. I think we're basically doing the same thing to arrive at 40 though.

 07-29-2012, 09:15 PM #24 Scholar Gawdbe GOATsol Nashty     Join Date: Dec 2010 Location: Swaggy P's Palace Posts: 9,938 Re: A little thinking game.. I counted 38 before I saw LEFT4DEAD's GIF.
 07-29-2012, 09:50 PM #25 Eat Like A Bosh Banned     Join Date: Jan 2011 Location: Inside LeBron's head Posts: 5,279 Re: A little thinking game.. 36. EDIT: never mind saw Left4Dead's Gif Last edited by Eat Like A Bosh : 07-29-2012 at 09:54 PM.
 07-30-2012, 12:18 AM #26 JustinJDW ....   Join Date: Sep 2008 Location: Los Angeles, CA Posts: 4,519 Re: A little thinking game.. 34 before I saw the gif.
 This NBA Basketball News Website Sponsored by:

 Thread Tools

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts vB code is On Smilies are On [IMG] code is On HTML code is Off
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home InsideHoops Main Basketball Forums     NBA Forum     College and High School Basketball Forum     Off the Court Lounge     Streetball Forum     Sneaker Forum     Fantasy Basketball Forum         Fantasy Premier League         Fantasy Premier Minor League         Fantasy Alternative ISH League     NBA Draft Forum     D-League Forum, Minor League and International Basketball Forum     Football Forum     Video Games Forum     WNBA Forum NBA Team Forums     Atlanta Hawks Forum     Boston Celtics Forum     Brooklyn Nets Forum     Charlotte Hornets Forum     Chicago Bulls Forum     Cleveland Cavaliers Forum     Dallas Mavericks Forum     Denver Nuggets Forum     Detroit Pistons Forum     Golden State Warriors Forum     Houston Rockets Forum     Indiana Pacers Forum     Los Angeles Clippers Forum     Los Angeles Lakers Forum     Memphis Grizzlies Forum     Miami Heat Forum     Milwaukee Bucks Forum     Minnesota Timberwolves Forum     New Orleans Pelicans Forum     New York Knicks Forum     Oklahoma City Thunder Forum     Orlando Magic Forum     Philadelphia 76ers Forum     Phoenix Suns Forum     Portland Trail Blazers Forum     Sacramento Kings Forum     San Antonio Spurs Forum     Seattle SuperSonics Forum     Toronto Raptors Forum     Utah Jazz Forum     Washington Wizards Forum

All times are GMT -4. The time now is 11:27 AM.

NBA Basketball Forum Key Links:
InsideHoops Home
NBA Rumors
Basketball Blog
NBA Daily Recaps
NBA Videos
Fantasy Basketball
NBA Mock Draft
NBA Free Agents
All-Star Weekend
---
High School Basketball
Streetball
---
InsideHoops Twitter
Search Our Site

 Contact Us - InsideHoops.com - Archive - Top

Powered by vBulletin Version 3.5.4
Copyright ©2000 - 2015, Jelsoft Enterprises Ltd. Terms of Use/Service | Privacy Policy