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.


Power Series Symmetric Group Permutation Group Transitivity System Regular Polyhedron 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • G. Pólya
  • R. C. Read
    • 1
  1. 1.Department of Combinatorics and OptimizationUniversity of WaterlooWaterlooCanada

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