Infinity cube

An Infinity cube is a kind of mechanical puzzle toy with mathematical principles.

Its shape is similar to a 2×2 Rubik's cube.

It can be opened and put back together from different directions, thus creating a visually interesting effect.

The principle of the infinity cube is simple and can be made by hand with simple paper cutting and pasting.

are cyclic groups: The largest group representation for Infinity Cube only contains 6 elements, and can be represented as:

An Infinity cube made of dice being played with
An animation showing different moves and states of the Infinity cube ( click to animate )
The hinges are coloured, the glow denoting the next hinges to be employed. From the 6 cycle state of the Infinity cube, you can see that its group representation is isomorphic to .