Plover Figures
A Galvagni Figure
is a minimal figure that can be tiled with a given
polyform shape in two or more ways.
A Plover Figure
is a Galvagni Figure in which the tiles are not merely
congruent but identical; that is, they are not distinct mirror images.
For tiles with reflective symmetry, a Plover Figure
is the same as a Galvagni Figure.
Corey Plover worked out Plover Figures for polyominoes.
You may see the tetrominoes
here,
the pentominoes
here,
and the hexominoes
here
at Erich Friedman's Math
Magic.
Polyiamonds
The following picture shows some Plover Figures for polyiamonds
without mirror symmetry up to order 7.
If you can find smaller solutions or solve any of the missing cases,
please let me know!
Polyhexes
The following picture shows Plover Figures for the polyhexes
without mirror symmetry up to order 5.
Back to Polyform Curiosities.
Col. G. L. Sicherman
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