Galvagni Figures for Polyaboloes
A polyabolo is a plane figure formed by
joining equal isosceles right triangles along equal edges.
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.
Here are minimal known Galvagni figures for polyaboloes.
Some polyaboloes have solutions that are technically Galvagni
figures but are not polyaboloes.
They are formed by joining parallelograms to make voided rhombuses.
Impossible
Non-polyabolo Solution
Mirror-Symmetry Variant
Holeless
Impossible
Non-polyabolo Solution
Holeless Variant
Impossible
Non-polyabolo Solutions
Holeless Variants
Mirror-Symmetric Variants
Impossible
Non-polyabolo Solution
Mirror-Symmetric Variants
Unsolved or Impossible
Non-polyabolo Solutions
Last revised 2014-10-28.
Back to Galvagni Compatibility
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Polyform Compatibility
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Polyform Curiosities
Col. George Sicherman
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