Ciekawostka: If done perfectly, a rubix cube combination can be solved in 17 turns

Evidence: 65 • authority: 72

Optimal solutions for the Rubik's Cube are solutions that are the shortest in some sense. There are two common ways to measure the length of a solution. The first is to count the number of quarter turns (90°). The second and more popular is to count the number of outer-layer twists, called "face turns". A move to turn an outer layer two quarter turns (2×90°) in the same direction would be counted as two moves in the quarter turn metric (QTM), but as one turn in the face metric (FTM, or HTM "Half Turn Metric"). It means that the length of an optimal solution in HTM ≤ the length of an optimal solution in QTM. The maximal number of face turns needed to solve any instance of the Rubik's Cube is…

Evidence: 53 • authority: 72

Evidence: 45 • authority: 72

A combination puzzle, also known as a sequential move puzzle, is a puzzle which consists of a set of pieces which can be manipulated into different combinations by a group of operations. Many such puzzles are mechanical puzzles of polyhedral shape, consisting of multiple layers of pieces along each axis which can rotate independently of each other. Collectively known as twisty puzzles, the archetype of this kind of puzzle is the Rubik's Cube. Each rotating side is usually marked with different colours, intended to be scrambled, then solved by a sequence of moves that sort the facets by colour. Generally, combination puzzles also include mathematically defined examples that have not been, or…

Evidence: 45 • authority: 72

Evidence: 35 • authority: 72

The Pocket Cube (also known as the 2×2×2 Rubik's Cube, Mini Cube or simply just 2x2 Rubik's Cube for short.) is a 2×2×2 combination puzzle invented in 1970 by American puzzle designer Larry D. Nichols. The cube consists of 8 external pieces, which are all corners.

Evidence: 35 • authority: 72

The Rubik's Cube group ( G , ⋅ ) {\displaystyle (G,\cdot )} represents the mathematical structure of the Rubik's Cube mechanical puzzle. Each element of the set G {\displaystyle G} 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 moves required to rotate the solved cube into that position. Indeed, with the solved position as a starting point, there is a one-to-one correspondence between each of the legal positions of the Rubik's Cube and the elements of G {\displaystyle G} . The group operation ⋅ {\displaystyle \cdo…

Evidence: — • authority: 35