What's the Monkey Number of the Rubik's Cube?

Explore the concept of the "Monkey number" for Rubik's cube in this engaging 20-minute video. Discover the average number of random twists required to solve a Rubik's cube from a scrambled position, and delve into the mathematical complexities surrounding this enigmatic figure. Learn about creating mathematically certified random scrambles, compare virtual Monkey solvers to human speedcubers, and investigate the Monkey numbers for both 3x3x3 and 2x2x2 cubes. Gain insights into the underlying mathematics, including Markov chains and stochastic processes, while exploring fascinating Rubik's cube puzzles alongside the Mathologer and his collaborators.