Honeycomb -Tetrakites – The Pieces

Honeycomb Tetrakites – A Puzzle Based on Kites

The base shape of the honeycomb tetrakites is a kite formed from one sixth of a regular hexagon. Each piece consists of four of these shapes and fits seamlessly into the honeycomb grid shown.

The honeycomb tetrakites belong to the family of honeycomb polykites.
There are 2 dikites, 4 trikites, 10 tetrakites, 27 pentakites, and 85 hexakites.

Monokite
Monokite
Dikites and Trikites in the Honeycomb Grid
Dikites and Trikites in the Honeycomb Grid
10 Trikites
10 Trikites

Honeycomb-Tetrakites-Puzzles

Symmetries in Honeycomb Tetrakite Shapes

Shapes composed of 10 Tetrakites cover an area of 40 kite-shaped cells.

Only a few symmetric shapes are known for the complete set, and none of them have more than a single line of reflection.

Additional information on Tetrakites, Pentakites, Hexakites, and Heptakites can be found on the website The Poly Pages.

Some Shapes for the Tetrakite Puzzle
Tetrakite shape 1
10 Tetrakites – 9 solutions
Tetrakite shape 2
10 Tetrakites – 1 solution
Tetrakite shape 3
10 Tetrakites – 5 solutions
Tetrakite shape 4
9 Tetrakites – 8 solutions
Tetrakite shape 5
9 Tetrakites – 24solutions
Tetrakite shape 6
6 Tetrakites – 7 solutions

Resources & Downloads

3D Print Templates

The 3D-print templates consist of the 10 Honeycomb tetrakite puzzle pieces and a box.

3D printed Tetrakite Puzzle
3D printed Tetrakite pieces

Solution program

screenshot tetrakite solver

The Tetrakite 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!