Heptahex Oddities
A heptahex oddity
is a figure with binary symmetry formed by an odd number of copies of
a heptahex.
Here are the minimal known oddities for heptahexes.
Please write if you find a smaller solution or solve an unsolved case.
Mike Reid
contributed improvements to some of these solutions.
For hexahexes, see
Hexahex Oddities.
For other orders of polyhexes, see
Polyhex Oddities.
[ Rowwise Bilateral
| Columnwise Bilateral
| Birotary
| Double Bilateral
| Sextuple Rotary
| Full
]
1 to 15 tiles
17 to 27 tiles
33 or more tiles
Unsolved
Impossible
1 to 7 tiles
9 to 11 tiles
13 to 21 tiles
27 or more tiles
Unsolved
1 to 21 tiles
23 or more tiles
For heptahex tilings of straight and ragged regular hexagons,
see Tiling
a Hexagon Polyhex with a Heptahex.
Holeless Variants
Last revised 2024-10-08.
Back to Polyform Oddities
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Polyform Curiosities
Col. George Sicherman
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