Galvagni Figures & Reid Figures for Hexominoes

A hexomino is a figure made of six squares joined edge to edge. 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.

Most of the hexomino Galvagni and Reid figures were found by Michael Reid of the University of Central Florida and Erich Friedman of Stetson University. Corey Plover found the 12-tile Galvagni figure below.

See also Galvagni & Reid Figures for Pentominoes, Galvagni & Reid Figures for Heptominoes, and Galvagni & Reid Figures for Octominoes,

Galvagni Figures

2 Tiles

3 Tiles

4 Tiles

6 Tiles

12 Tiles

26 Tiles

44 Tiles

Mirror Variants

Reid Figures

Level Galvagni Figures

Level polyominoes may be reflected orthogonally and rotated 180° but not 90°.

For a discussion of restricted-symmetry polyominoes see Alexandre Owen Muñiz's A Polyformist's Toolkit.

Holeless Variants

Last revised 2019-04-29.

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Col. George Sicherman [ HOME | MAIL ]