Galvagni Figures & Reid Figures for Hexahexes

A hexahex is a figure made of six regular hexagons 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 hexahex Galvagni and Reid figures were found by Dr. Michael Reid of the University of Central Florida.

Galvagni Figures

Here are the minimal known Galvagni figures for hexahexes:


Hypersymmetric Variants


Reid Figures

Here are the minimal known Reid figures:



Hypersymmetric Variants

Other Mirror Variants


Level Galvagni Figures

Here the hexahexes may be reflected and rotated 180° but not 60° or 120°.

Last revised 2013-09-21.

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Col. George Sicherman [ HOME | MAIL ]