Galvagni Figures & Reid Figures for Polybirds

A polybird is a plane figure formed by joining adjacent cells on the rhombitrihexagonal grid.

A Galvagni Figure is a figure that can be tiled by a polyform in more than one way—a kind of self-compatibility figure. Galvagni Figures first appeared in Erich Friedman's Math Magic for November 2004. A Reid Figure is a Galvagni Figure with no holes.

Here are minimal known Galvagni Figures for polybirds with 2–5 cells. Minimal known Reid Figures that are not minimal as Galvagni Figures are shown separately. If you find a smaller solution or solve an unsolved case, please write.

Dibirds

Tribirds

Impossible

Tetrabirds

Impossible

Reid Figures

Pentabirds

Impossible

Last revised 2021-11-06.


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