Galvagni Figures for Rotary Polyiamonds

A polyiamond is 2-rotary if it looks the same when rotated 180°, and 3-rotary if it looks the same when rotated 120°, It may also have mirror symmetry or 6-rotary symmetry (60 °).

A Galvagni Figure is a shape that can be tiled by a polyform in two or more ways. The ways may be isomorphic, so long as they have different positions. They were proposed by Jeremy Galvagni and first appeared at Erich Friedman's site Math Magic.

Here I show minimal known Galvagni Figures for rotary polyiamonds. Thanks to Mark Smith for suggesting this page.

Moniamond

No Solution

Diamond

Tetriamonds

No Solution

Hexiamonds

No Solution

Heptiamond

Octiamonds

No Solution

Enneiamond

No Solution

Dekiamonds

No Solution

Dodekiamonds

No Solution

Last revised 2020-12-07.


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Col. George Sicherman [ HOME | MAIL ]