Galvagni Figures for Polyprisms

A polyprism is a solid figure formed by joining congruent equilateral-triangular prisms face to face. They were first studied by Brendan Owen, who named them stacked polyiamonds.

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 polyprisms of orders 1 to 6. Polyprisms may be reflected. Black polyprisms have no Galvagni figures. Gray polyprisms have no known Galvagni figure. Solutions shown are not necessarily unique.







2 Tiles

3 Tiles

4 Tiles

6 Tiles

24 Tiles

Impossible or Unknown

Last revised 2014-09-30.

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Col. George Sicherman [ HOME | MAIL ]