Full Symmetry from the Twelve Pentominoes

A pentomino is a figure made of five squares joined edge to edge. There are 12 such figures, not distinguishing reflections and rotations. They were first enumerated and studied by Solomon Golomb.

There are ten shapes with full (square) symmetry that the 12 pentominoes can form. They are shown below. The number below each shape indicates how many distinct tilings it has.

Last revised 2023-01-05.

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Col. George Sicherman [ HOME | MAIL ]