Galvagni Figures for Polygems

A gem is a plane figure formed by joining four adjacent drafter cells in the same hexagon cell as shown:

It is one-third of a regular hexagon.

A polygem is a figure made by joining gems on the polydrafter grid. The terms are due to Abaroth.

A Galvagni Figure is a figure that can be tiled by a polyform in more than one way—a kind of self-compatibility figure. Here I show minimal known Galvagni Figures for polygems. If you find a smaller solution or solve an unsolved case, please write.

See also Polygem Oddities.

Monogem

Digems

Impossible

Trigems

Mirror Variant

Impossible

Tetragems

2 Tiles

3 Tiles

4 Tiles

5 Tiles

6 Tiles

9 Tiles

12 Tiles

18 Tiles

Unsolved

Impossible

Last revised 2023-03-25.


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Col. George Sicherman [ HOME | MAIL ]