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.
Carl Schwenke and Johann Schwenke solved one holeless case
and improved many other holeless solutions.
See also Baiocchi Figures
for Pentomino Pairs.
4 Tiles
6 Tiles
8 Tiles
10 Tiles
12 Tiles
Holeless solutions shown above are not reproduced here.
6 Tiles
8 Tiles
10 Tiles
12 Tiles
14 Tiles
16 Tiles
18 Tiles
20 Tiles
22 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 2024-04-18.
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George Sicherman
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