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  2. Megaminx - Wikipedia

    en.wikipedia.org/wiki/Megaminx

    The Minx of Madness was revealed in May 2022. It is the dodecahedral equivalent to a 21x21x21 Rubik's cube. [8] Alexander's Star is equivalent to solving only the edges of a six-color Megaminx. The Impossiball and Kilominx are equivalent to solving only the corners of a Megaminx, but are very different mechanically. The Impossiball is available ...

  3. Tuttminx - Wikipedia

    en.wikipedia.org/wiki/Tuttminx

    A Tuttminx (/ ˈ t ʊ t m ɪ ŋ k s / or / ˈ t ʌ t m ɪ ŋ k s /) is a Rubik's Cube-like twisty puzzle, in the shape of a truncated icosahedron. It was invented by Lee Tutt in 2005. [1] It has a total of 150 movable pieces to rearrange, compared to 20 movable pieces of the Rubik's Cube.

  4. Alexander's Star - Wikipedia

    en.wikipedia.org/wiki/Alexander's_Star

    The purpose of the puzzle is to rearrange the moving pieces so that each star is surrounded by five faces of the same color, and opposite stars are surrounded by the same color. This is equivalent to solving just the edges of a six-color Megaminx. The puzzle is solved when each pair of parallel planes is made up of only one colour.

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

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

    The maximal number of face turns needed to solve any instance of the Rubik's Cube is 20, [2] and the maximal number of quarter turns is 26. [3] These numbers are also the diameters of the corresponding Cayley graphs of the Rubik's Cube group. In STM (slice turn metric) the minimal number of turns is unknown, lower bound being 18 and upper bound ...

  6. Pyraminx Crystal - Wikipedia

    en.wikipedia.org/wiki/Pyraminx_Crystal

    The Pyraminx Crystal (also called a Chrysanthemum puzzle) is a dodecahedral puzzle similar to the Rubik's Cube and the Megaminx. It is manufactured by Uwe Mèffert and has been sold in his puzzle shop since 2008. The puzzle was originally called the Brilic, [1] and was first made in 2006 by Aleh Hladzilin, [2] a member of the Twisty Puzzles Forum.

  7. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    Non-human solving: The fastest non-human Rubik's Cube solve was performed by Rubik's Contraption, a robot made by Ben Katz and Jared Di Carlo. A YouTube video shows a 0.38-second solving time using a Nucleo with the min2phase algorithm. [98] Highest order physical n×n×n cube solving: Jeremy Smith solved a 21x21x21 in 95 minutes and 55.52 seconds.

  8. Dogic - Wikipedia

    en.wikipedia.org/wiki/Dogic

    The Dogic (/ ˈ d ɒ dʒ ɪ k /) is an icosahedron-shaped puzzle like the Rubik's Cube. The 5 triangles meeting at its tips may be rotated, or 5 entire faces (including the triangles) around the tip may be rotated. It has a total of 80 movable pieces to rearrange, compared to the 20 pieces in the Rubik's Cube.

  9. God's algorithm - Wikipedia

    en.wikipedia.org/wiki/God's_algorithm

    A scrambled Rubik's Cube. An algorithm to determine the minimum number of moves to solve Rubik's Cube was published in 1997 by Richard Korf. [10] While it had been known since 1995 that 20 was a lower bound on the number of moves for the solution in the worst case, Tom Rokicki proved in 2010 that no configuration requires more than 20 moves. [11]