The term "God's number" is sometimes given to the graph diameter of Rubik's graph, which is the maximum, over all starting positions, of the minimum number of moves required to solve a Rubik's cube. Rokicki et al. (2010) showed that this number equals 20 when a quarter-turn or half-turn of a face counts as one move. This computation used a bank of computers at Google and required a total of 35 CPU-years.
God's Number
See also
Rubik's Clock, Rubik's Cube, Rubik's Graph, Rubik's GroupExplore with Wolfram|Alpha
References
Knill, O. "God Numbers #maths." May 9, 2026. https://www.youtube.com/watch?v=UmgWaAU3BTE.Rokicki, T.; Kociemba, H.; Davidson, M.; and Dethridge, J. "God's Number is 20." https://www.cube20.org/.Referenced on Wolfram|Alpha
God's NumberCite this as:
Weisstein, Eric W. "God's Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GodsNumber.html