Galvagni Figures & Reid Figures for Polycairinos

A cairo is a pentagon with at least four sides equal and forming two nonconsecutive right angles. A polycairino is a plane figure formed by joining cairos at edges or corners or both on the polycairo 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. A Reid figure is a Galvagni figure without holes. Galvagni figures and Reid figures first appeared in Erich Friedman's Math Magic for November 2004.

Here are minimal known Galvagni figures for polycairinos.