DescriptionSymmetric group 4; Cayley graph as half-turns of 2×2×2 Rubik's cube.svg
English: These are the 24 configurations of the 2×2×2 Rubik's Cube which can be reached by performing 180° half-turns. These configurations are marked by the effects of the half-turns performed on the right face (indicated in red), front face (in green), and top face (in blue). This represents the Cayley graph of S₄, generated by (12), (13), and (14). Additionally, this serves as an instance of the Nauru graph.
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