# Infinity Cube facts for kids

**Infinity cube** is a kind of mechanical puzzle toy with mathematical principles, the shape is similar to a Rubik's cube. It can be opened and put together from different directions, thus creating a visually interesting effect.

## Construction

The principle of the **Infinity Cube** is simple and can be made by hand with simple paper cutting and pasting. First make 8 small squares, then arrange the small squares in a 2 by 2 by 2 way, and tape 8 edges together. When combined, there are 24 small squares exposed and 24 small squares hidden inside.

## Mathematics

Like the Rubik's Cube, the various states of the **Infinity cube** can be represented as a group, but the **Infinity cube** have far fewer variations than the Rubik's Cube, so the representation is also much simpler.

Rubik's Cube group have elements，and isomorphic to the below group，where are alternating groups and are cyclic groups：

The largest group representation for **Infinity cube** only contains 6 elements, and can be represented as:

*Kiddle Encyclopedia.*