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
Trihex Oddities,
Tetrahex Oddities,
Pentahex Oddities,
and
Hexahex 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 2025-01-13.
Back to Polyform Oddities
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Polyform Curiosities
Col. George Sicherman
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