Galvagni Figures for Polydodecs

A dodecagon is a polygon with 12 sides. A polydodec is a figure made of regular dodecagons 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 polydodecs. The black tiles have no Galvagni figures.

Monododec

Didodec

Tridodecs

Tetradodecs

Hypersymmetric Variants

Pentadodecs

2 Tiles

3 Tiles

4 Tiles

5 Tiles

6 Tiles

8 Tiles

12 Tiles

Unsolved

Hypersymmetric Variants

Last revised 2010-10-06.


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Col. George Sicherman [ HOME | MAIL ]