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 07-29-2012, 02:13 PM #1 Richie2k6 Smooth Like Butter     Join Date: Mar 2007 Posts: 9,102 A little thinking game.. I counted 40
 07-29-2012, 02:17 PM #2 TheSilentKiller NBA Legend     Join Date: Jan 2011 Location: Kansas City Posts: 16,890 Re: A little thinking game.. I only got 36, but I did it kind of fast. EDIT: Just saw 4 more, making my total 40
 07-29-2012, 02:17 PM #3 RaininTwos Betrayed     Join Date: Sep 2009 Location: Toronto Posts: 4,304 Re: A little thinking game.. I'm stuck at 35
 07-29-2012, 02:20 PM #4 Richie2k6 Smooth Like Butter     Join Date: Mar 2007 Posts: 9,102 Re: A little thinking game.. not sure what the actual answer is.. I wonder if there's more than 40?
 07-29-2012, 02:22 PM #5 DaHeezy NBA lottery pick     Join Date: Jul 2006 Posts: 5,744 Re: A little thinking game.. 34
 07-29-2012, 02:30 PM #6 LEFT4DEAD ISH' Muslim Community     Join Date: Mar 2009 Location: In your head! Posts: 2,545 Re: A little thinking game.. The answer is 40.
 07-29-2012, 02:35 PM #7 Meticode Cavaliers Fan ® 1997     Join Date: Feb 2008 Posts: 34,718 Re: A little thinking game.. 40! Must look between the lines.
 07-29-2012, 02:39 PM #8 Faptastrophe Rivalries Never Die     Join Date: Dec 2011 Location: LV Posts: 3,051 Re: A little thinking game.. 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.
 07-29-2012, 02:40 PM #9 LEFT4DEAD ISH' Muslim Community     Join Date: Mar 2009 Location: In your head! Posts: 2,545 Re: A little thinking game..
07-29-2012, 02:43 PM   #10
dude77
NBA sixth man of the year

Join Date: May 2011
Posts: 7,059
Re: A little thinking game..

Quote:

nice .. I missed the last 'big ones'

 07-29-2012, 02:46 PM #11 AK47DR91   Posts: n/a Re: A little thinking game.. Oh, I missed the four 3x3 squares. No wonder I could only get 36.
07-29-2012, 03:10 PM   #12
Faptastrophe
Rivalries Never Die

Join Date: Dec 2011
Location: LV
Posts: 3,051
Re: A little thinking game..

Quote:
 Originally Posted by The Macho Man How are the L shaped tetris things squares? COME ON

 07-29-2012, 06:41 PM #13 Myth NBA Legend and Hall of Famer     Join Date: Jul 2007 Location: Rhode Island Posts: 23,337 Re: A little thinking game.. I counted 40 when I saw this on Facebook.
07-29-2012, 06:44 PM   #14
Myth
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Join Date: Jul 2007
Location: Rhode Island
Posts: 23,337
Re: A little thinking game..

Quote:
 Originally Posted by Faptastrophe What are you talking about?

Some people mistakenly count these due to getting in the habit of counting open spaces rather than squares:

07-29-2012, 07:02 PM   #15
REACTION
HYRYSICPT?

Join Date: Dec 2011
Posts: 596
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.

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