Contents
Preface xi
Chapter 1. Beginnings 1
§1.1. Introduction 1
§1.2. An informal history of configurations 8
§1.3. Basic concepts and definitions 14
§1.4. Tools for the study of configurations 26
§1.5. Symmetry 32
§1.6. Reduced Levi graphs 38
§1.7. Derived figures and other tools 47
Chapter 2. 3-Configurations 59
§2.0. Overview 59
§2.1. Existence of 3-configurations 60
§2.2. Enumeration of 3-configurations (Part 1) 69
§2.3. Enumeration of 3-configurations (Part 2) 81
§2.4. General constructions for combinatorial 3-configurations 89
§2.5. Steinitz’s theorem—the combinatorial part 92
§2.6. Steinitz’s theorem—the geometric part 102
§2.7. Astral 3-configurations with cyclic symmetry group 110
§2.8. Astral 3-configurations with dihedral symmetry group 121
§2.9. Multiastral 3-configurations 134
§2.10. Duality of astral 3-configurations 144
§2.11. Open problems (and a few exercises) 150
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