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More Squares Than 64

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Submitted by Charlie91 on Tue, 01/22/2008 at 6:20am.

It's common knowledge that there are 64 squares in a chessboard.  There are actually 204 squares.

If the smallest square's side measures 1 unit, then there are 8² or 64 1x1 squares.  Continuing the math, there are 7² 2x2 squares, 6² 3x3 squares, 5² 4x4 squares, 4² 5x5 squares, 3² 6x6 squares, 2² 7x7 squares, and 1² 8x8 squares.  So 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1² = 204.  Further explanation is at www.teachingideas.co.uk/maths/chess.htm.  (I saw this link after writing the blog)

Think unconventional.  Cool


» posted in Charlie: Chess Blog
175 reads | 3 comments
 

Comments:

by Charlie91 - 2 months ago
International
Member Since: Aug 2007
Member Points: 672
We are used to seeing the 64 (1x1) squares, often labeled a1 to h8; pieces move into these squares. An example of a 1x1 square is a1 (left lower corner if you're White); an example of a 2x2 square is a square comprising a1, a2, b1 and b2, choosing the left lower corner.  I.e., this group of 4 1x1 squares corresponds to another square.  So the squares are of different sizes, depending on the number of subsquares within it.  A small square is within a larger square, and within an even larger square, and so on.  It just refers to the board, not actual chess play.  Do I make sense?  Undecided
by xbigboy - 2 months ago
Minnesota United States
Member Since: Oct 2007
Member Points: 1503
Doesn't that make moves impossible? You CAN'T MOVE OUTSIDE OF THE 8x8 square!
by chessfanforlife - 4 months ago
Toronto Canada
Member Since: Jan 2008
Member Points: 687
wow.......i didnt know that....
 
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