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

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

    The cube restricted to only 6 edges, not looking at the corners nor at the other edges. The cube restricted to the other 6 edges. Clearly the number of moves required to solve any of these subproblems is a lower bound for the number of moves needed to solve the entire cube. Given a random cube C, it is solved as iterative deepening. First all ...

  3. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    The steps involved in solving any cube of size greater than 4 are fairly straightforward extensions of those required to solve size 3 and size 4 cubes. However, there is limited availability of generalized instructions that can be applied for solving cubes of any size (particularly the large ones).

  4. n-dimensional sequential move puzzle - Wikipedia

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

    The position of this cell is the extreme foreground of the 4th dimension beyond the position of the viewer's screen. 4-cube 3 4 virtual puzzle, rotated in the 4th dimension to show the colour of the hidden cell. 4-cube 3 4 virtual puzzle, rotated in normal 3D space. 4-cube 3 4 virtual puzzle, scrambled. 4-cube 2 4 virtual puzzle, one cubie is ...

  5. CFOP method - Wikipedia

    en.wikipedia.org/wiki/CFOP_method

    Cube mid-solve on the OLL step. The CFOP method (Cross – F2L (first 2 layers) – OLL (orientate last layer) – PLL (permutate last layer)), also known as the Fridrich method, is one of the most commonly used methods in speedsolving a 3×3×3 Rubik's Cube. It is one of the fastest methods with the other most notable ones being Roux and ZZ.

  6. How to solve the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/How_to_solve_the_Rubik's_Cube

    The moves from the other steps should become very natural after a short time. There are two basic parts to this step, as follows: The goal of the whole step is to solve all of the 5 remaining edge pieces. The first part is to solve three of these (UF, UL, UB), and the second part is to solve the other two together.

  7. Menger sponge - Wikipedia

    en.wikipedia.org/wiki/Menger_sponge

    Begin with a cube. Divide every face of the cube into nine squares in a similar manner to a Rubik's Cube. This sub-divides the cube into 27 smaller cubes. Remove the smaller cube in the middle of each face, and remove the smaller cube in the center of the larger cube, leaving 20 smaller cubes. This is a level-1 Menger sponge (resembling a void ...

  8. Doubling the cube - Wikipedia

    en.wikipedia.org/wiki/Doubling_the_cube

    In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x 3 = 2; in other words, x = , the cube root of two. This is because a cube of side length 1 has a volume of 1 3 = 1, and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2.

  9. Superflip - Wikipedia

    en.wikipedia.org/wiki/Superflip

    The superflip is a completely symmetrical combination, which means applying a superflip algorithm to the cube will always yield the same position, irrespective of the orientation in which the cube is held. The superflip is self-inverse; i.e. performing a superflip algorithm twice will bring the cube back to the starting position.