How many squares on a chess board?

rterhart

How many squares can you form on a chess board?

Obviously, there's the 64 squares. Together they form another square. Then there are 2x2 squares (a1-a2-b1-b2, for example), 3x3 squares (a1-c3), 4x4, 5x5, 6x6 and 7x7 squares. (There are 4 of those.)

If you add all that up, how many do you get?

And this is not a quiz question. I would like to know the answer.

scrabblechecs

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 (8x8) = 168 squares !

rterhart

So that is 8^2 + 7^2 + 6^2 + 5^2 + 4^2 +3^2 + 2^2 + 1^2 squares.

That's beautiful.

Thanks!

Yeloby
62 squares. The kings take up two squares.
btickler
scrabblechecs wrote:

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 (8x8) = 168 squares !

Ummm...try again...

64+49+36+25+16+9+4+1=204

TheRealChessBeast111

Lol

Virmus
This isn’t easy to calculate. I’m guessing 8! (8x7x6x5x4x3x2)
Sred

There is even an animated answer: http://datagenetics.com/blog/february12019/index.html.

flyingbird123
We did that once in maths. The textbook said 204.
flyingbird123
Not kidding. btickler was right
TPonder

64, not Nintendo. -Swaggeneral T Ponder