 Chess Math Problem Problem Lord Burn Posers and Puzzles 06 Oct '03 14:25
1. 06 Oct '03 14:25
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

2. 10 Oct '03 08:43
Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2
= 204
[ = 8*(2*8+1)*(8+1)/6 from the formula for the sum of consecutive squares]

We get this because there is one way of placing an 8*8 square on the chessboard, four ways of placing a 7*7 square etc.
3. 10 Oct '03 08:54
Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

Here's another one

You have 3d chessboard of size N^3

How many different vertical and horzontal squares are there on this chessboard?
4. 12 Oct '03 13:42
Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

2, a white one and a black one.
5. 15 Oct '03 11:54
Originally posted by TheMaster37
2, a white one and a black one.
I guess that's Dutch Logic...😀

Olav
6. 15 Oct '03 22:29
Originally posted by iamatiger
Here's another one

You have 3d chessboard of size N^3

How many different vertical and horzontal squares are there on this chessboard?
Well, in each of the cubes you've got an uncountable infinity of squares.