Trihalfhexes – The Pieces

Trihalfhexes consist of three connected half-hexagons that fit precisely into the hexagonal grid shown. There are 15 distinct tri-half-hexes. They belong to the family of polyhalfhexes—composite shapes made from half hexagons.

In total, the following sets are known: 5 dihalfhexes, 15 trihalfhexes, 82 tetrahalfhexes, and 429 pentahalfhexes.

Mono- and Dihalfhexes in the Hexagonal Grid
Mono- and Dihalfhexes in the Hexagonal Grid
15 Trihalfhexes
15 Trihalfhexes

Trihalfhex-Puzzles

Symmetries in Trihalfhex Shapes

The underlying triangular grid allows shapes with up to six axes of reflection and six-fold rotational symmetry.

A fully symmetrical shape – that is, one that actually attains this maximum symmetry – is not known for the complete set of all 15 Trihalfhex pieces.

Some Shapes for the Trihalfhex Puzzle
trihalfhex shape 1
15 pieces – 91648 solutions
trihalfhex shape 2
15 pieces – 190 solutions
trihalfhex shape 3
14 pieces – 263 solutions
trihalfhex shape 4
12 pieces – 1400 solutions
trihalfhex shape 5
14 pieces – 780 solutions
trihalfhex shape 6
14 pieces – 205598 solutions

Resources & Downloads

3D Print Templates

The 3D-print templates consist of the 15 Trihalfhex puzzle pieces and a box.

3D printede Trihalfhex Puzzle
Trihalfhex shape

Solution Program

screenshot trihalfhex puzzle solver

The Trihalfhex Puzzle solver is part of a program collection available for download on Itch.io. It is for Windows only.

IMPORTANT: For a correct installation, please read the Instructions before unpacking!