Solve A Rubik's Cube With Augmented Reality

The program works in two phases: In the first phase it detects the permutation of the cube. The faces of the cube can be shown in arbitrary order. Then, as soon as it is confident about the permutation of the cube, it computes how to solve it in 20 turns or less and shows the first turn directly on the cube. It recognizes whenever a turn is done and shows the next one right away. There is no other input from the user other than the data from the camera.