Pentacubits – the puzzle pieces
Pentacubits – a puzzle based on a rhombus
Each of the 12 Pentacubits consists of 5 rhombi. Pentacubits belong to the family of Polycubits.
The basic shape of a Polycubit is a rhombus with two 60° and two 120° interior angles. These rhombi fit seamlessly into the Cubit grid shown.
The number of distinct shapes is 1 for Dicubits, 3 for Tricubits, 4 for Tetracubits, 12 for Pentacubits, 27 for Hexacubits, and 78 for Heptacubits.

Pentacubits puzzles
Symmetrical shapes made from Pentacubits
The 12 Pentacubits consist of 60 rhombi in total. The 3D-printed puzzle has an approximately equilateral triangular shape made up of 63 rhombi. One Tricubit was therefore added.
The underlying Cubit grid allows shapes with six axes of reflection and sixfold rotational symmetry. However, fully symmetrical shapes made exclusively from the 12 Pentacubits are probably impossible.

Some shapes made from Pentacubits












Resources & Downloads
3D-Printing Templates
The 3D-printing files include the 12 Pentacubits, one Tricubit, and a box.



