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Checkerboard


How many combinations of squares can be made from the squares on a standard checkerboard?

Answer

It follows the sum of squares rule:
1 8 unit square
4 7 unit squares
9 6 unit squares
16 5 unit squares
25 4 unit squares
36 3 unit squares
49 2 unit squares and
64 1 unit squares
for a total of 204 squares

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This page revised   March 31, 2004