Galvagni Figures for Polypentagrams

A polypentagram is a figure made of regular pentagrams 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. Galvagni figures first appeared in Erich Friedman's Math Magic for November 2004.

Here are minimal known Galvagni figures for polypentagrams. If you find a smaller solution or solve an unsolved case, please let me know.

Monopentagram

Impossible

Dipentagram

Mirror Symmetry

Tripentagrams

Hypersymmetric Variants

Tetrapentagrams

2 Tiles

4 Tiles

5 Tiles

15 Tiles

20 Tiles

Impossible

Mirror Variants

Last revised 2013-03-02.


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Col. George Sicherman [ HOME | MAIL ]