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  2. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    The Rubik's Cube group is the subgroup of the symmetric group generated by the six permutations corresponding to the six clockwise cube moves. With this construction, any configuration of the cube reachable through a sequence of cube moves is within the group.

  3. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    The Rubik's Cube is a 3D combination puzzle invented in 1974 [2] [3] ... The Rubik's group can be endowed with a unitary representation: ...

  4. Permutation group - Wikipedia

    en.wikipedia.org/wiki/Permutation_group

    The popular puzzle Rubik's cube invented in 1974 by Ernő Rubik has been used as an illustration of permutation groups. Each rotation of a layer of the cube results in a permutation of the surface colors and is a member of the group. The permutation group of the cube is called the Rubik's cube group.

  5. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    A Rubik's Cube is in the superflip pattern when each corner piece is in the correct position, but each edge piece is incorrectly oriented. [6] In 1992, a solution for the superflip with 20 face turns was found by Dik T. Winter, of which the minimality was shown in 1995 by Michael Reid, providing a new lower bound for the diameter of the cube group.

  6. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    This puzzle is not really a true 2-dimensional analogue of the Rubik's Cube. If the group of operations on a single polytope of an n-dimensional puzzle is defined as any rotation of an (n – 1)-dimensional polytope in (n – 1)-dimensional space then the size of the group, for the 5-cube is rotations of a 4-polytope in 4-space = 8×6×4 = 192,

  7. Solving a Rubik's cube is easier than you think: Here's how

    www.aol.com/news/2015-07-21-solving-a-rubiks...

    The Rubik's Cube world champion is 19 years old an can solve it in less than 6 seconds. While you won't get anywhere near his time without some years of practice, solving the cube is really not ...

  8. Rubik’s Cube is still selling millions after 50 years. Here’s ...

    www.aol.com/finance/rubik-cube-still-selling...

    The popularity of the Cube is reflected in its strong sales—in 2022, 5.75 million units of the official Rubik’s Cube were sold globally and that figure was up 14% year-to-date, according to ...

  9. Group (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Group_(mathematics)

    The manipulations of the Rubik's Cube form the Rubik's Cube group. In mathematics, a group is a set with an operation that satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element. Many mathematical structures are groups endowed with other properties.

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