Galvagni Figures for Polyocts

A polyoct is a figure made of regular octagons 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 polyocts. The black tiles have no Galvagni figures.

Monoct

Dioct

Triocts

Tetrocts

Pentocts

Hexocts

Unknown

2 Tiles

3 Tiles

4 Tiles

6 Tiles

8 Tiles

12 Tiles

26 Tiles

44 Tiles

Hypersymmetric Variants

Last revised 2011-03-13.


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Col. George Sicherman [ HOME | MAIL ]