# Galvagni Figures for Polylines

A *right polyline*
(or *square polyedge,* or *(2,1)-polyominoid*)
is a plane figure made of equal line segments joined
end to end at straight or right angles.
A *Galvagni figure* is a figure that can be tiled by a polyform
in more than one way—a kind of self-compatibility figure.
Galvagni figures first appeared in Erich Friedman's
Math Magic
for November 2004.
Galvagni figures for polylines first appeared in
Math Magic
for August 2006.
Here are minimal known Galvagni figures for polylines.
The gray polylines are unsolved.
The black polylines have no Galvagni figures.

### Without Crossings

### Without Crossings

*Last revised 2009-11-07.*

Back to Galvagni Compatibility
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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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