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A cube number, or a perfect cube, or sometimes just a cube, is a number which is the cube of an integer. The non-negative perfect cubes up to 60 3 are (sequence A000578 in the OEIS ): 0 3 =
The Rubik's Cube group (,) represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces. With this representation, not only can any cube move be represented, but any position of the cube as well, by detailing the cube ...
The Rubik's Cube is a 3D combination puzzle invented in 1974 [2] [3] by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, [4] the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in the UK in 1978, [5] and then by Ideal Toy Corp in 1980 [6] via businessman Tibor Laczi and Seven Towns ...
Cube size: The number of cubies to be placed is a quadratic (second order polynomial) function of cube size and therefore has a major influence on cube solving complexity. Odd or even size: Even size cubes have an additional effect to just cube size that adds complexity relative to odd size cubes.
The Fibonacci cube of order n is the simplex graph of the complement graph of an n-vertex path graph. [2] That is, each vertex in the Fibonacci cube represents a clique in the path complement graph, or equivalently an independent set in the path itself; two Fibonacci cube vertices are adjacent if the cliques or independent sets that they represent differ by the addition or removal of a single ...
However, draughts with only 5 × 10 20 positions [21] and even fewer, 3.9 × 10 13, in the database, [22] is a much easier problem to solve –of the same order as Rubik's cube. The magnitude of the set of positions of a puzzle does not entirely determine whether a God's algorithm is possible.
Proof without words that the difference of two consecutive cubes is a centered hexagonal number by arranging n 3 ... 23497, 24571, 25117, 26227 (sequence ...
A cube with unit side length is the canonical unit of volume in three-dimensional space, relative to which other solid objects are measured. The cube can be represented in many ways, one of which is the graph known as the cubical graph. It can be constructed by using the Cartesian product of graphs. The cube was discovered in antiquity.