Baiocchi Figures for Hexomino 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 hexominoes. The figures must use at least one copy of each hexomino.

See also Baiocchi Figures for Pentomino Pairs.

Basic Solutions

4 Tiles

6 Tiles

8 Tiles

10 Tiles

12 Tiles

Holeless Variants

Holeless solutions shown above are not reproduced here.

6 Tiles

8 Tiles

10 Tiles

12 Tiles

14 Tiles

16 Tiles

18 Tiles

20 Tiles

24 Tiles

26 Tiles

28 Tiles

30 Tiles

32 Tiles

36 Tiles

40 Tiles

48 Tiles

52 Tiles

54 Tiles

64 Tiles

Unsolved Holeless

Last revised 2023-10-11.


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