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A regular chessboard has 3 2 black squares and 3 2 white squares ⟹ 8 ⋅ 8 = 6 4 squares
However the total number of all squares can be thought of as: 8 2 + 7 2 + 6 2 + ⋯ + 3 2 + 2 2 + and the one large square (whole board) .
Which gives a total of 2 0 4 squares