Cayley graph
Groups, moves and rules · the move map of a group
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The map of a group: a point is a position, an arrow is a move from one position to another. The map of the game “step and lift” is circles of six points joined by lifts. The same kind of graph lies under the Rubik’s Cube: the points are all positions of the cube, the arrows are face turns.
Source: Wikipedia: Cayley graph
Read more: A neural network solves the Rubik’s Cube: the graph of positions and movesBalls on a ring: the move map and the most tangled arrangementThe map of the game “step and lift”