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.
Holeless variants are at the end of the page.
Figures with an orange background have holeless variants
with the same number of tiles.
For pentominoes, see
Pentomino Oddities.
For heptominoes, see
Heptomino Oddities.
| Lateral on Cell
| Lateral on Edge
| Diagonal
| Rotary
| Double Lateral on Cell
| Double Lateral on Edge
| Double Diagonal on Vertex
|
| 1
| 1
| None
| 1
| None
| 1
| None
|
| 3
Mike Reid
| 7
| None
| 5
George Sicherman
| None
| 9
Mike Reid
| None
|
| None
| None
| None
| None
| None
| None
| None
|
| 5
| 5
Mike Reid
| None
| 5
Mike Reid
| None
| 9
Mike Reid
| None
|
| 3
| 3
| None
| 5
Mike Reid
| None
| 7
George Sicherman
| None
|
| 1
| None
| None
| ?
| None
| ?
| None
|
| 5
| 5
| None
| 5
Mike Reid
| None
| 7
Mike Reid
| None
|
| ?
| ?
| None
| 1
| None
| ?
| None
|
| 3
Mike Reid
| 9
George Sicherman
| None
| 5
Mike Reid
| None
| 11
George Sicherman
| None
|
| 7
Mike Reid
| 7
George Sicherman
| None
| 5
Mike Reid
| None
| 17
George Sicherman
| None
|
| None
| None
| None
| None
| None
| None
| None
|
| 7
George Sicherman
| 3
Mike Reid
| None
| 7
Mike Reid
| None
| 13
George Sicherman
| None
|
| 7
George Sicherman
| None
| None
| 11
George Sicherman
| 27
George Sicherman (after
Mike Reid)
| None
| None
|
| 9
George Sicherman
| 1
| None
| 11
Mike Reid
| None
| 11
Mike Reid
| None
|
| None
| None
| 15
George Sicherman
| 1
| None
| None
| 15
George Sicherman
|
| None
| None
| 1
| None
| None
| None
| None
|
| 11
George Sicherman
| 17
George Sicherman
| None
| 7
George Sicherman
| None
| ?
| None
|
| 7
George Sicherman
| 11
George Sicherman
| None
| 7
Mike Reid
| None
| 21
George Sicherman
| None
|
| None
| None
| 7
George Sicherman
| 7
George Sicherman
| None
| None
| 19
George Sicherman
|
| 3
| 3
| None
| 1
| None
| 3
| None
|
| 7
George Sicherman
| 9
George Sicherman
| None
| 9
Mike Reid
| None
| 27
George Sicherman
| None
|
| None
| None
| None
| None
| None
| None
| None
|
| 7
George Sicherman
| 5
George Sicherman
| None
| 5
Mike Reid
| None
| 13
George Sicherman
| None
|
| 5
George Sicherman
| 5
George Sicherman
| None
| 5
Mike Reid
| None
| 13
Mike Reid
| None
|
| 1
| None
| None
| ?
| ?
| None
| None
|
| 9
George Sicherman
| 23
George Sicherman
| None
| 7
George Sicherman
| None
| ?
| None
|
| 13
George Sicherman
| None
| None
| None
| None
| None
| None
|
| 49
George Sicherman
| 49
George Sicherman
| None
| 1
| None
| 49
George Sicherman
| None
|
| 3
| 5
Mike Reid
| None
| 5
Mike Reid
| None
| 7
Mike Reid
| None
|
| ?
| 1
| None
| ?
| None
| ?
| None
|
| 1
| 1
| None
| 1
| None
| 1
| None
|
| None
| None
| 1
| 5
| None
| None
| 5
|
| 1
| 11
Mike Reid
| None
| 11
Mike Reid
| None
| 11
Mike Reid
| None
|
| 17
George Sicherman
| 33
George Sicherman
| None
| 1
| None
| 33
George Sicherman
| None
|
| 1
| None
| None
| 23
George Sicherman
| ?
| None
| None
|
Lateral on Cell
Lateral on Edge
Diagonal
Rotary on Edge
Rotary on Vertex
Double Lateral on Edge
Last revised 2017-09-20.
Back to Polyform Oddities
<
Polyform Curiosities
Col. George Sicherman
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