We begin by generalizing the problem which is at the root of the example in Sec. 2. There are two types of generalizations: on the one hand the colored balls discussed in Sec. 2 have to be replaced by more complex objects, which we will call figures; on the other hand, the special permutation group of the octahedron rotations will have to be replaced by a more general permutation group.
KeywordsPower Series Symmetric Group Permutation Group Transitivity System Regular Polyhedron
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