Dihex, Trihex, and Tetrahex Tri-Oddities
A polyhex tri-oddity
is a figure with ternary symmetry formed by some number of copies of
a polyhex that is not a multiple of three.
Torsten Sillke first studied them in 1996.
Here are the minimal known tri-oddities for the dihex, trihexes,
tetrahexes, and pentahexes.
Please write if you find a smaller solution or solve an unsolved case.
Mike Reid proved that the straight trihex has no solution.
For pentahexes, see Pentahex Tri-Oddities.
For hexahexes, see Hexahex Tri-Oddities.
[ Dihex
| Trihexes
| Tetrahexes
]
Holeless Variant
Holeless Variant
Horizontal Mirror Symmetry
Holeless Variants
Vertical Mirror Symmetry
Holeless Variants
Last revised 2026-07-05.
Back to Polyform Oddities
< Polyform Curiosities
Col. George Sicherman
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