Infinity cube

An infinity cube is a kind of mechanical puzzle toy with mathematical principles. Its shape is similar to a ×ばつ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.

The principle of the infinity cube is simple and can be made by hand with simple paper cutting and pasting. First, make 8 small cubes, then arrange the small cubes in a 2 by 2 by 2 way, and tape 8 edges together. When combined, there are 28 small squares exposed and 20 small squares hidden inside.

The infinity cube has far fewer permutations than the Rubik's Cube.

The Rubik's Cube group has ${\displaystyle 43{,}252{,}003{,}274{,}489{,}856{,}000,円\!={\frac {12!}{2}}\cdot 2^{12-1}\cdot 8!\cdot 3^{8-1}}${\displaystyle 43{,}252{,}003{,}274{,}489{,}856{,}000,円\!={\frac {12!}{2}}\cdot 2^{12-1}\cdot 8!\cdot 3^{8-1}} permutations^{[1] [2]} and is isomorphic to the following group, where ${\displaystyle A_{n}}${\displaystyle A_{n}} are alternating groups and ${\displaystyle \mathbb {Z} _{n}}${\displaystyle \mathbb {Z} _{n}} are cyclic groups:

${\displaystyle (\mathbb {Z} _{3}^{7}\times \mathbb {Z} _{2}^{11})\rtimes ,円((A_{8}\times A_{12})\rtimes \mathbb {Z} _{2}).}${\displaystyle (\mathbb {Z} _{3}^{7}\times \mathbb {Z} _{2}^{11})\rtimes ,円((A_{8}\times A_{12})\rtimes \mathbb {Z} _{2}).}

The infinity cube only has 6 configurations.

• Yoshimoto Cube
• Paper model
• Fidget Cube
• 15 puzzle

• Magic Folding Cube - Mathematische-Basteleien

• Rubik's Cube
• Origami
• Novelty items
• Mechanical puzzles
• Sensory toys

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