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,
and the Green Hexagon is from Andrew Clarke's
Poly Pages.
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
Holeless Variants
More Big Hexagons
These big hexagon tesselations are not minimal for full symmetry.
They may be interesting in their own right as polyform curiosities.
The red ones are by Mike Reid.
Here are three nested hexagons!
Mike Reid found the yellow layer.
Last revised 2014-02-05.
Back to Polyform Curiosities.
Col. George Sicherman
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