# Pentomino Pair Dual Diagonal Oddities

A polyomino *oddity*
is a symmetrical figure formed by an odd number of copies of
a polyomino.
Symmetrical figures can also be formed with copies of two
different pentominoes.
Here are the smallest known dual-diagonal oddities
for the 66 pairs of pentominoes.
See also

| F | I | L | N | P | T | U | V | W | X | Y | Z |

F | * | 7 | 9 | 7 | 7 | 9 | 7 | 9 | 7 | 5 | 5 | 5 |

I | 7 | * | 5 | 7 | 3 | 5 | 7 | 7 | 9 | 5 | 7 | 7 |

L | 9 | 5 | * | 7 | 5 | 9 | 7 | 7 | 7 | 5 | 9 | 7 |

N | 7 | 7 | 7 | * | 7 | 9 | 13 | 7 | 5 | 5 | 9 | 7 |

P | 7 | 3 | 5 | 7 | * | 5 | 7 | 3 | 5 | 5 | 5 | 5 |

T | 9 | 5 | 9 | 9 | 5 | * | 21 | 9 | 11 | 5 | 9 | 7 |

U | 7 | 7 | 7 | 13 | 7 | 21 | * | 7 | 13 | 5 | 9 | 7 |

V | 9 | 7 | 7 | 7 | 3 | 9 | 7 | * | 5 | 3 | 5 | 7 |

W | 7 | 9 | 7 | 5 | 5 | 11 | 13 | 5 | * | 3 | 9 | 7 |

X | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 3 | 3 | * | 5 | 5 |

Y | 5 | 7 | 9 | 9 | 5 | 9 | 9 | 5 | 9 | 5 | * | 5 |

Z | 5 | 7 | 7 | 7 | 5 | 7 | 7 | 7 | 7 | 5 | 5 | * |

### 3 Tiles

### 5 Tiles

### 7 Tiles

### 9 Tiles

### 11 Tiles

### 13 Tiles

### 21 Tiles

Solutions shown above that are holeless are not shown here.
### 7 Tiles

### 9 Tiles

### 11 Tiles

### 13 Tiles

### 15 Tiles

### 25 Tiles

Last revised 2024-04-27.

Back to Polyform Oddities
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Polyform Curiosities

Col. George Sicherman
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