#### Posers and Puzzles

Berea Abbyss School

- Joined
- 09 Sep '03
- Moves
- 147

How many different spuares are there on a 8x8 checherboard?

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

Explain your answer and how you did it.

- Joined
- 26 Apr '03
- Moves
- 26599

*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.

Explain your answer and how you did it.

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.

- Joined
- 26 Apr '03
- Moves
- 26599

*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.

Explain your answer and how you did it.

Here's another one

You have 3d chessboard of size N^3

How many different vertical and horzontal squares are there on this chessboard?

Out of my mind

- Joined
- 25 Oct '02
- Moves
- 20443

*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.

Explain your answer and how you did it.

2, a white one and a black one.

Amsterdam

- Joined
- 26 Jan '03
- Moves
- 27540

*Originally posted by TheMaster37*

**2, a white one and a black one.**

I guess that's Dutch Logic...ðŸ˜€

Olav

Elsewhere

- Joined
- 29 Nov '02
- Moves
- 17317

*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.