We’ve all seen videos of Rubik’s cube champions who can solve the puzzle in less than 5 seconds. And there are cube-twisting robots that can solve the cube even faster, often in under a second.

Computing with the cube group in SageMath. Label the facets of the Rubik's Cube as shown in the diagram. It may help to view this labeling on the flattened cube as follows. The permutations ...

Rubik's cube is one such puzzle ... In this course we'll investigate the cube, learn how to model it using group theory, uncover a solvability criteria, and best of all, we'll learn how to solve it by ...

It's been 50 years since the Rubik's Cube ... the cube, which is easy enough, but you have to make sure that you have two squares of matching colours following on from the cross as you move ...

You should be able to complete this step just by playing around with the cube. Make sure that the edges ... Middle Layer You may need to move some middle-layer edge pieces from the top layer.