Any scrambled cube can be solved in 20 moves or fewer, researchers claim.
The international team used a bank of computers at Google to help crank through the solutions.
The figure is known as “God’s number” because an all-knowing entity would know the optimal number of steps needed to solve the puzzle.
“We now know for certain that the magic number is 20,” Professor Morley Davidson, a mathematician from Kent State University, told BBC News.
The results suggest that there are more than 100,000 starting positions – of a possible 43 billion billion – that can be solved in exactly 20 moves.
However, the majority of solutions take between 15 and 19 moves to solve.
While looking for a picture of this article I found some impressive art made from the retro toy.