Galvagni Figures & Reid Figures for Octominoes

A octomino is a figure made of eight squares 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.

Some of these figures were found by Michael Reid of the University of Central Florida.

For pentominoes, see Galvagni Figures & Reid Figures for Pentominoes.
For hexominoes, see Galvagni Figures & Reid Figures for Hexominoes.
For heptominoes, see Galvagni Figures & Reid Figures for Heptominoes.

Here are minimal known Galvagni figures and Reid figures for octominoes.

Galvagni Figures

2 Tiles

3 Tiles

4 Tiles

6 Tiles

8 Tiles

10 Tiles

12 Tiles

16 Tiles

20 Tiles

28 Tiles

40 Tiles

64 Tiles

72 Tiles

80 Tiles

Unsolved

Impossible

Hypersymmetric Variants

Reid Figures

Hypersymmetric Variants

Last revised 2011-09-24.


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