Hexiamond Oddities
A polyiamond oddity
is a figure with binary symmetry formed by an odd number of copies of
a polyiamond.
Here are the minimal known oddities for the 12 hexiamonds.
Click on the figures with pink backgrounds to expand them.
See also
Pentiamond, Heptiamond,
and Enneiamond Oddities
and Octiamond Oddities.
Johann and Carl Schwenke found improved holeless solutions for the H hexiamond.
Rowwise
Bilateral
| Columnwise
Bilateral
| Birotary on Edge | Birotary on Vertex
| Double
Bilateral
on Edge
| Double
Bilateral
on Vertex
| Sextuple
Rotary | Full |
1
| 9
| 11
| 45
| 11
|
| 45
|
|
3
| 1
| 11
| 3
| 11
| 3
| 3
| 3
|
9
| 5
| 7
| 9
| 25
| 9
| 9
| 9
|
3
| 3
| 1
| 5
| 3
| 5
| 9
| 9
|
3
| 3
| 3
| 3
| 7
| 3
| 3
| 3
|
3
| None
| None
| None
| None
| None
| None
| None
|
1
| 1
| None
| 1
| None
| 1
| 1
| 1
|
3
| None
| None
| None
| None
| None
| None
| None
|
5
| 3
| 1
| 9
| 5
| 21
| 43
|
|
3
| 3
| 9
| 3
| 25
| 9
| 3
| 9
|
1
| 1
| 1
| None
| 1
| None
| None
| None
|
1
|
|
|
|
|
| None
| None
|
Holeless Variants
Rowwise Bilateral
Columnwise Bilateral
Birotary on Edge
Birotary on Vertex
Double Bilateral on Vertex
Sextuple Rotary
Full
Last revised 2021-12-02.
Back to Polyform Oddities
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Polyform Curiosities
Col. George Sicherman
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