The Invisible Solutions of the Rubik’s Cube
Allen Charest, Ben Coté, Ward Heilman · Mathematics Magazine · 2023
SummaryThe center cubies on the Rubik’s Cube can change orientation when the puzzle is brought from one solved state to another. The set of all possible reorientations of the center cubies creates what we call the invisible solutions group. We investigate the size and structure of the invisible solutions group for the Rubik’s Cube, Rubik’s Revenge, and the Professor’s Cube.