Infinity cube

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being played with 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.

being played with 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 43{,}252{,}003{,}274{,}489{,}856{,}000\,\! = \frac{12!}{2} \cdot 2^{12-1} \cdot 8! \cdot 3^{8 - 1} permutations and is isomorphic to the following group, where A_n are alternating groups and \mathbb Z_n are cyclic groups: (\mathbb Z_3^7 \times \mathbb Z_2^{11}) \rtimes \,((A_8 \times A_{12}) \rtimes \mathbb Z_2). 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

Text derived from https://en.wikipedia.org/w/index.php?oldid=1379029787 under CC BY-SA 4.0; modifications have been made.