# 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.

### 4 Tiles

### 5 Tiles

### 8 Tiles

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
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