Baiocchi Figures for Pentomino Pairs

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polyominoes, that means square symmetry, or 4-way rotary with reflection. If a polyomino lacks diagonal symmetry, its Baiocchi figures must be Galvagni figures or contain Galvagni figures. Claudio Baiocchi proposed the idea in January 2008. Baiocchi figures first appeared in Erich Friedman's Math Magic for that month.

We can also define Baiocchi Figures for sets of polyominoes. Here I show minimal known Baiocchi Figures for pairs of pentominoes. The figures must use at least one copy of each pentomino.

See also Baiocchi Figures for Hexomino Pairs and Pentomino Pair Oddities.

Basic Solutions

4 Tiles

5 Tiles

8 Tiles

Holeless Variants

Holeless solutions shown above are not reproduced here.

5 Tiles

8 Tiles

9 Tiles

12 Tiles

13 Tiles

16 Tiles

Last revised 2023-10-03.

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George Sicherman [ HOME | MAIL ]