Authors: Brigitte Servatius and Herman Servatius

Reference: Discrete Mathematics 140 (1995) 167-183

Selected Figures:

- Example of pairing $[3,4]^+ > [3,3]^+$

- Example of pairing $[3,4] > [3,3]$

Abstract: Given a self--dual map on the sphere, the collection of its self--dual permutations generates a transformation group in which the map automorphism group appears as a subgroup of index two. A careful examination of this pairing yields direct constructions of self--dual maps and provides a classification of self--dual maps. Examples from each of the symmetry classes are given.