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.
Reid proved that the straight trihex has no solution.
For hexahexes, see Hexahex Tri-Oddities.
For heptahexes, see Heptahex Tri-Oddities.
| Mirror Symmetry
These figures have mirror symmetry as well as ternary symmetry.
Last revised 2016-06-05.
Back to Polyform Oddities
< Polyform Curiosities
Col. George Sicherman