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.
Back to Polyomino and Polyking Tiling
Col. George Sicherman