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 Baiocchi Figure for a polyform P is a polyform of the same kind that can be tiled by P and has the maximum symmetry for the kind of polyform. For polycrowns, this is 10-rotary symmetry plus mirror symmetry. Baiocchi Figures were proposed by Claudio Baiocchi. They first appeared in Erich Friedman's Math Magic for January 2008.
Here I show all known Baiocchi Figures for polycrowns with 1, 2, or 3 cells. If you find a Baiocchi Figure for another polycrown, please write.
See also Galvagni Figures for Polycrowns.
Last revised 2025-07-04.