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
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Polyform Compatibility
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Polyform Curiosities
Col. George Sicherman
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