Galvagni Figures & Reid Figures for Heptiamonds

A heptiamond is a figure made of seven equilateral triangles 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. A Reid figure is a Galvagni figure without holes.

All the heptiamond Galvagni figures and most of the Reid figures were found by Dr. Michael Reid of the University of Central Florida.

Galvagni Figures

2 Tiles

3 Tiles

4 Tiles

6 Tiles

Unsolved

 

Reid Figures

Hypersymmetric

Joint

Neither the M heptiamond nor the V heptiamond is known to have a Reid Figure. They can form a Reid Figure when used together:

 

Last revised 2023-01-18.

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