Hexomino Oddities
A polyomino oddity
is a symmetrical figure formed by an odd number of copies of a polyomino.
Here are the minimal known oddities
for the 35 hexominoes, as found mostly by
Mike Reid.
Click on the yellow figures to enlarge them.
For pentominoes, see
Pentomino Oddities.
|
| Lateral
on Cell
| Lateral
on Edge
| Diagonal
| Rotary
on Cell
| Rotary
on Edge
| Rotary
on Vertex
| Double
Lateral
on Cell
| Double
Lateral
on Edge
| Double
Diagonal
on Vertex
|
| 1
| 1
| None
| None
| 1
| None
| None
| 1
| None
|
| 3
Mike Reid
| 7
| None
| None
| 5
George Sicherman
| None
| None
| 9
Mike Reid
| None
|
| None
| None
| None
| None
| None
| None
| None
| None
| None
|
| 5
| 5
Mike Reid
| None
| None
| 5
Mike Reid
| None
| None
| 9
Mike Reid
| None
|
| 3
| 3
| None
| None
| 5
Mike Reid
| None
| None
| 7
George Sicherman
| None
|
| 1
| None
| None
| None
|
| None
| None
|
| None
|
| 5
| 5
| None
| None
| 5
Mike Reid
| None
| None
| 7
Mike Reid
| None
|
|
|
| None
| None
| 1
| None
| None
|
| None
|
| 3
Mike Reid
| 9
George Sicherman
| None
| None
| 5
Mike Reid
| None
| None
| 11
George Sicherman
| None
|
| 7
Mike Reid
| 7
George Sicherman
| None
| None
| 5
Mike Reid
| None
| None
| 17
George Sicherman
| None
|
| None
| None
| None
| None
| None
| None
| None
| None
| None
|
| 7
George Sicherman
| 3
Mike Reid
| None
| None
| 7
Mike Reid
| None
| None
| 13
George Sicherman
| None
|
| 7
George Sicherman
| None
| None
| 11
George Sicherman
| None
| None
| 27
George Sicherman
(after Mike Reid)
| None
| None
|
| 9
George Sicherman
| 1
| None
| None
| 11
Mike Reid
| None
| None
| 11
Mike Reid
| None
|
| None
| None
| 15
George Sicherman
| None
| None
| 1
| None
| None
| 15
George Sicherman
|
| None
| None
| 1
| None
| None
| None
| None
| None
| None
|
| 11
George Sicherman
| 23
George Sicherman
| None
| None
| 7
George Sicherman
| None
| None
|
| None
|
| 7
George Sicherman
| 11
George Sicherman
| None
| None
| 7
Mike Reid
| None
| None
| 21
George Sicherman
| None
|
| None
| None
| 7
George Sicherman
| None
| None
| 7
George Sicherman
| None
| None
| 19
George Sicherman
|
| 3
| 3
| None
| None
| 1
| None
| None
| 3
| None
|
| 7
George Sicherman
| 9
George Sicherman
| None
| None
| 9
Mike Reid
| None
| None
| 27
George Sicherman
| None
|
| None
| None
| None
| None
| None
| None
| None
| None
| None
|
| 7
George Sicherman
| 5
George Sicherman
| None
| None
| 5
Mike Reid
| None
| None
| 13
George Sicherman
| None
|
| 5
George Sicherman
| 5
George Sicherman
| None
| None
| 5
Mike Reid
| None
| None
| 13
Mike Reid
| None
|
| 1
| None
| None
|
| None
| None
|
| None
| None
|
| 9
George Sicherman
| 23
George Sicherman
| None
| None
| 7
George Sicherman
| None
| None
|
| None
|
| 13
George Sicherman
| None
| None
| None
| None
| None
| None
| None
| None
|
|
|
| None
| None
| 1
| None
| None
|
| None
|
| 3
| 5
Mike Reid
| None
| None
| 5
Mike Reid
| None
| None
| 7
Mike Reid
| None
|
|
| 1
| None
| None
|
| None
| None
|
| None
|
| 1
| 1
| None
| None
| 1
| None
| None
| 1
| None
|
| None
| None
| 1
| None
| None
| 5
| None
| None
| 5
|
| 1
| 11
Mike Reid
| None
| None
| 11
Mike Reid
| None
| None
| 11
Mike Reid
| None
|
| 17
George Sicherman
| 33
George Sicherman
| None
| None
| 1
| None
| None
| 33
George Sicherman
| None
|
| 1
| None
| None
| 23
George Sicherman
| None
| None
|
| None
| None
|
Back to Polyform Curiosities.
Col. George Sicherman
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