How many squares on a chessboard?

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finns

I am NOT just counting 1x1 squares, also 2x2, 3x3 etc. First correct answer gets a trophy!

NimzoRoy

I deleted my original bone-headed answer which failed to take a few minor details into account. This is tougher than it looks at first glance!

Iteh

\sum_{i=1}^{8} (i^2)
= 204

fburton

Must they have the same orientation as the ranks and files, or can they be formed by joining square corners (or centres) diagonally?

Intrepid_Spiff

17, I'm pretty sure.

knightspawn5

204 is the correct answer

ThrillerFan

Actually, it's 205.

The 204 mentioned, and the board itself.  There is a border, whether it be an area with 1-8 down the side and a-h across the bottom, or just a design that may be half a centimeter thick or a couple of inches think.

So there are 204 in the 8x8 play area, and the board itself, so it's actually 205 Squares.

Matthew11
owltuna wrote:

The 204 number includes the large 8x8 square. A border cannot be assumed.

I agree.

The answer is 204.

charlesge

so are you gonna give a trophy or not?

TheGrobe

64 x 1x1
49 x 2x2
36 x 3x3
25 x 4x4
16 x 5x5
9  x 6x6
4  x 7x7
1  x 8x8

204 total, 206 if you count the squares in the chairs on either end of it. 

TheBlueKnight9

204 is the number.

macer75
owltuna wrote:

What if it sits on a chequered tablecloth?

The question is how many squares there are on a chessboard, so that wouldn't matter.

... Unless you put the checkered tablecloth on the board...

JamieKowalski

The c4 square fell off of my chessboard. It really sucks for the light-squared bishops.

TheGrobe

How many squares on a board without a c4 square?

macer75
JamieKowalski wrote:

The c4 square fell off of my chessboard. It really sucks for the light-squared bishops.

lol especially for white's light squared bishop

MrHumbug

You can´t fit much more than one onto it, surely, even if they remove their plaid shirts and horn-rimmed glasses?

TianTianChess

knightspawn5 wrote:

204 is the correct answer

I agree

colonelgreene

Good trick question!  What is heavier, a pound of feathers or a pound of gold?

TheGrobe

They are the same.  It's only a trick question if you ask in ounces.

Bereng

... How many rectangles on a chess board?