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 [ HOME | MAIL ]