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

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

    A 2-layer (size 2) cube has corner cubies only. Cubes of size 2 and size 3 have single solutions, meaning that all the cube elements can have only one correct location for a solved cube. Centre cubies differ from the corner and edge cubies in that their orientation or position has multiple possibilities.

  3. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    The 2×2×2 (Pocket/Mini Cube), the standard 3×3×3 cube, the 4×4×4 (Rubik's Revenge/Master Cube), and the 5×5×5 (Professor's Cube) are the most well known, as they are all available under the official Rubik's brand. The WCA sanctions speedsolving competitions for cube orders up to 7×7×7.

  4. Combination puzzle - Wikipedia

    en.wikipedia.org/wiki/Combination_puzzle

    It consists of a bonded transparent plastic box containing seven small cubes. There is an empty space the size of one small cube inside the box and the small cubes are moveable inside the box by tilting the box causing a cube to fall into the space. Commercial Name: Rubik's Clock Piece configuration: 3×3×2 12-position dials

  5. Cuboid - Wikipedia

    en.wikipedia.org/wiki/Cuboid

    Etymologically, "cuboid" means "like a cube", in the sense of a convex solid which can be transformed into a cube (by adjusting the lengths of its edges and the angles between its adjacent faces). A cuboid is a convex polyhedron whose polyhedral graph is the same as that of a cube.

  6. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    We consider two subgroups of G: First the subgroup C o of cube orientations, the moves that leave the position of every block fixed, but can change the orientations of blocks. This group is a normal subgroup of G. It can be represented as the normal closure of some moves that flip a few edges or twist a few corners.

  7. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The Super Square One, scrambled The Super Square One, solved The Super Square One, mid-turn. The Super Square One is a 4-layer version of the Square-1. Just like the Square-1, it can adopt non-cubic shapes as it is twisted. As of 2009, it is sold by Uwe Mèffert in his puzzle shop, Meffert's.

  8. Hoffman's packing puzzle - Wikipedia

    en.wikipedia.org/wiki/Hoffman's_packing_puzzle

    Each valid solution to the puzzle arranges the blocks in an approximate 3 × 3 × 3 grid of blocks, with the sides of the blocks all parallel to the sides of the outer cube, and with one block of each width along each axis-parallel line of three blocks. Counting reflections and rotations as being the same solution as each other, the puzzle has ...

  9. n-dimensional sequential move puzzle - Wikipedia

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

    2-cube 3×3 virtual puzzle Geometric shape: square. A 2-D Rubik type puzzle can no more be physically constructed than a 4-D one can. [8] A 3-D puzzle could be constructed with no stickers on the third dimension which would then behave as a 2-D puzzle but the true implementation of the puzzle remains in the virtual world.