Polyform Compatibility

    A maddening identity of the big picture is arrived at without using any similar pieces.
—Arpad Arutinov, The Back Door of History
The Compatibility Problem is to construct a figure that can be tiled with each of a set of polyforms.

A Galvagni Figure is a figure that can be tiled with a given polyform in more than one way.

A Baiocchi Figure is a figure that can be tiled with a given polyform with the maximum symmetry for its class.

Pairwise Compatibility Multiple Compatibility Galvagni Figures Baiocchi Figures Cell Shifting Remembrance of Software Past

Back to Polyform Curiosities.
Col. George Sicherman [ HOME | MAIL ]