Trizoids – The Pieces

Trizoids – A Puzzle Based on a Trapezoid

The Trizoids belong to the family of polyzoids. The basic unit of the polyzoids is a trapezoid equal to one quarter of a regular hexagon, which fits into the grid shown.

There are: 7 Dizoids, 24 Trizoids, 147 Tetrazoids, 839 Pentazoids, and 5461 Hexazoids.

Monozoid
Monozoid
Dizoids in the Honeycomb Grid
Dizoids in the Honeycomb Grid
24 Trizoids
24 Trizoids

Trizoid-Puzzles

Symmetries in Trizoid Shapes

Because Trizoids fit into a honeycomb grid, up to sixfold rotational symmetry and six axes of reflection are possible. However, only shapes with at most threefold rotational symmetry and three axes of reflection are known.

Further information on Trizoids can be found on the website Abaroth’s World.

Some Shapes for the Trizoid Puzzle
Trizoid shape 1
6676 solutions
Trizoid shape 2
111 solutions
Trizoid shape 3
1520 solutions
Trizoid shape 4
15 solutions
Trizoid shape 5
249 solutions
Trizoid shape 6
1328 solutions

Resources & Downloads

3D Print Templates

The 3D-print templates consist of the 24 Trizoids puzzle pieces and a box.

3D printed Trizoid puzzle box
3D printed Trizoid puzzle pieces

Solution program

screenshot Trizoid solver

The Trizoid 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!