# 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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