Galvagni Figures for Rotary Polyhexes

A polyhex 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 polyhexes. Thanks to Mark Smith for suggesting this page.

Monohex

No Solution

Dihex

Trihexes

Tetrahexes

No Solution

Pentahexes

Hexahexes

No Solution

Heptahexes

No Solution

Octahexes

No Solution

Last revised 2020-12-08.


Back to Galvagni Compatibility < Polyform Compatibility < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]