Pentomino Pair Dual Orthogonal 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-orthogonal oddities
for the 66 pairs of pentominoes.
See also
Carl Schwenke and Johann Schwenke contributed improvements.
| | F | I | L | N | P | T | U | V | W | X | Y | Z |
|---|
| F | * | 5 | 7 | 5 | 7 | 3 | 3 | 7 | 7 | 5 | 5 | 3 |
|---|
| I | 5 | * | 3 | 5 | 3 | 3 | 3 | 5 | 5 | 3 | 5 | 5 |
|---|
| L | 7 | 3 | * | 7 | 3 | 3 | 5 | 7 | 11 | 5 | 7 | 3 |
|---|
| N | 5 | 5 | 7 | * | 5 | 5 | 7 | 9 | 7 | 5 | 7 | 5 |
|---|
| P | 7 | 3 | 3 | 5 | * | 3 | 5 | 3 | 9 | 5 | 3 | 3 |
|---|
| T | 3 | 3 | 3 | 5 | 3 | * | 7 | 13 | 5 | 3 | 5 | 7 |
|---|
| U | 3 | 3 | 5 | 7 | 5 | 7 | * | 5 | 9 | 3 | 5 | 7 |
|---|
| V | 7 | 5 | 7 | 9 | 3 | 13 | 5 | * | 15 | 5 | 9 | 3 |
|---|
| W | 7 | 5 | 11 | 7 | 9 | 5 | 9 | 15 | * | 5 | 9 | 7 |
|---|
| X | 5 | 3 | 5 | 5 | 5 | 3 | 3 | 5 | 5 | * | 5 | 5 |
|---|
| Y | 5 | 5 | 7 | 7 | 3 | 5 | 5 | 9 | 9 | 5 | * | 5 |
|---|
| Z | 3 | 5 | 3 | 5 | 3 | 7 | 7 | 3 | 7 | 5 | 5 | * |
|---|
3 Tiles
5 Tiles
7 Tiles
9 Tiles
11 Tiles
13 Tiles
15 Tiles
Solutions shown above that are holeless are not shown here.
5 Tiles
7 Tiles
9 Tiles
11 Tiles
13 Tiles
35 Tiles
Last revised 2025-05-25.
Back to Polyform Oddities
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Polyform Curiosities
Col. George Sicherman
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