# Hexahex 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 82 hexahexes.
Black hexahexes have no solution; gray ones are unsolved.
Please write if you find a smaller solution or solve an unsolved case.

For smaller polyhexes, see Polyhex Tri-Oddities.

## Cell-Centered Solutions

## Vertex-Centered Solutions

### Holeless Variants

*Last revised 2024-06-11.*

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Col. George Sicherman
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