Galvagni Figures for Polycrowns

A crown is a figure made by moving two adjacent edges of a regular pentagon to form a concave pentagon:

A polycrown is a figure made by joining one or more crowns edge to edge. See Catalogue of Polycrowns. The terms crown and polycrown were introduced by Irmi Beyer.

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 I show all known minimal Galvagni Figures for polycrowns with 1, 2, or 3 cells. If you find a Galvagni Figure for another polycrown, please write.

See also

  • Dicrown Compatibility
  • Baiocchi Figures for Polycrowns
  • Monocrown

    Dicrowns

    Tricrowns

    Last revised 2025-07-24.


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    Col. George Sicherman [ HOME | MAIL ]