The tiling of a 6x10 rectangle by means of the 12 different pentominos [Le pavage d'un rectangle 6x10 par les 12 pentaminos différents ]

The tiling of a 6x10 rectangle by means of the 12 different pentominos [Le pavage d'un rectangle 6x10 par les 12 pentaminos différents].




A pentomino is a polygon made of five squares, each pair sharing a common side. There are 12 different pentominos and using rotations and symmetries they can tile certain rectangles. For example there are 2339 ways of tiling a 6x10 one! This picture displays one of these solutions.

By the way, one can find a reference to this puzzle in Imperial Earth published by Arthur C. Clarke in 1975...


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