Each grid square: 16 2 overlaid squares: 2 The 4 squares that make each overlaid square: 8 The perimeter:1 2x2 in each corner:4 3x3 in each corner:4 2x2 in the center:1

Was curious how people were getting 36 instead of 40. Thanks for explaining HolyGod. Did everyone else who got 36 skip the 2x2 squares on the edges but not the corners? 28,30,32,34 in ted`s diagram.

49, the 16 regular squares, the 8 odd ones in the middle, 2 two by twos made from the odd ones, 18 two by twos six each going top left to right, bottom left to right, center left to right, 4 three by threes starting at each corner, and 1 big one.

Number Of squares in n × n grid is = 1^2 + 2^2 + ... + n^2 = n(n+ 1)(2n + 1)/6

Here we have a 4x4 grid and two 2x2 grids therefore n=4 and n=2. Substituting for n=4, 4(4+1)(2(4) + 1)/6 = 30 and for n=2, 2*(2(2+1)(2(2) + 1)/6) = 10.

It`s definitely 40. Imagine first the two middle "out of place" squares are not there. There are 16 1X1 squares, 9 2X2 squares, 4 3X3 squares, and 1 4X4 square; so 30 squares total. Add in the two middle squares (32) and the way they sit making 4 smaller squares out of each one for 8 extra squares total: giving us 40 squares.

Oh yeah, but surely you could also count the exteriors and interiors of each thick line as separate lines, therefore something like doubling the number of squares?

Very pleased to tell you www.chinesegirlfind.com is designed to display pictures of pretty girls website, We will be beautiful Chinese girls are introduced to foreign friends, please be assured that all this is legal.You will see the latest sexy girls, black stockings, long legs, sexy tights,bikini.chinesegirlfind being named the "2012 Most Beautiful Girl", please give them to vote, to win the opportunity to make friends with them! please visit: http://www.chinesegirlfind.com

- This one`s for the Smarty-Pants I-A-Bers--how many squares are there in this diagram.
hmmmm. Double checking now....

Each grid square: 16

2 overlaid squares: 2

The 4 squares that make each overlaid square: 8

The perimeter:1

2x2 in each corner:4

3x3 in each corner:4

2x2 in the center:1

Let me know what I`m missing....

Plus 2x2 at each side: 4

Good call.

HAHAHAHAHA.

The only people who write "sex" in all caps are people who aren`t having it.

From largest to smalles...

1 - 4x4

4 - 3x3

9 - 2x2

18- single cubes 2 of which are made up of 2x2 mini-cubes

8 - mini cubes

I count 40. what`d I miss?

How are you getting 48?

Am I even close?

Tilting the monitor back: 69,

Counting ALL squares: (40 ) + (*psm),

{*psm = pixels sequentially arranged into squares from photo on the given monitor.}

= 1^2 + 2^2 + ... + n^2

= n(n+ 1)(2n + 1)/6

Here we have a 4x4 grid and two 2x2 grids therefore n=4 and n=2. Substituting for n=4, 4(4+1)(2(4) + 1)/6 = 30 and for n=2, 2*(2(2+1)(2(2) + 1)/6) = 10.

30 + 10 = 40

----

| |

| |

---

not a square

Don`t forget the white one around the outside.

Oh yeah, but surely you could also count the exteriors and interiors of each thick line as separate lines, therefore something like doubling the number of squares?