An infinity cube is a kind of mechanical puzzle toy with mathematical principles. Its shape is similar to a 2×2x2 Rubik's Cube, but with a different mechanism. It can be opened and put back together from different directions, thus creating a visually interesting effect.
Mathematics The infinity cube has far fewer permutations than the Rubik's Cube.
The Rubik's Cube group has permutationsTom Davis, "Rubik's Cube. Part II", p.23 in, Zvezdelina Stankova, Tom Rike (eds), A Decade of the Berkeley Math Circle, American Mathematical Society, 2015 , and is isomorphic to the following group, where are alternating groups and are cyclic groups:
The infinity cube only has 6 configurations.
See also Yoshimoto Cube Paper model Fidget Cube 15 puzzle
References
External links
Magic Folding Cube – Mathematische-Basteleien