Optimal Solutions For Rubik's Cube
There are many algorithms to solve scrambled Rubik's Cubes. The maximum number of face turns needed to solve any instance of the Rubik's Cube is 20. This number is also known as the diameter of the Cayley graph of the Rubik's Cube group. An algorithm that solves a cube in the minimum number of moves is known as God's algorithm.
There are two common ways to measure the length of a solution. The first is to count the number of quarter turns. The second is to count the number of face turns. A move like F2 (a half turn of the front face) would be counted as 2 moves in the quarter turn metric and as only 1 turn in the face metric.
Read more about Optimal Solutions For Rubik's Cube: Move Notation, Lower Bounds
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