1995: At least 20 moves are necessary for solving certain scrambled states of the Rubik’s cube. (A move is any rotation of any face).

2010: 20 moves are sufficient to solve any scrambled state.

2011: The optimal number of moves for an n×n×n Rubik’s Cube is proportional to *n*^{2}/log(* n*)

2014: 26 is “God’s number” for moves limited to quarter-turn

2018: A robot can solve any Rubik’s Cube in 0.38 seconds.

To the MNS presentation