Keywords: Symmetric group 4; Cayley graph 4,9.svg Cayley graph of S<sub>4</sub> Red arrows stand for permutation http //upload wikimedia org/wikipedia/commons/thumb/6/6d/Symmetric_group_4 3B_permutation_list_with_matrices svg/1000px-Symmetric_group_4 3B_permutation_list_with_matrices svg png number 9 moving all elements one place to the right and the rightmost element on the leftmost place Blue arrows stand for permutation number 4 which is a similar move to le left but leaving the rightmost element unchanged GrapheCayley-S4-Plan svg 2011 GrapheCayley-S4-Plan svg Fool talk derivative work Lipedia <span class signature-talk >talk</span> 200px Rhombicuboctahedron Schlegel diagrams of Archimedean solids Cayley graph of S4 |