Polytopes: Abstract, Convex and Computational

Table of Contents

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   Book Overview
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   Chapter 1 Recent Results on Coxeter Groups
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   Chapter 2 The Evolution of Coxeter-Dynkin Diagrams
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   Chapter 3 Polyhedra with Hollow Faces
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   Chapter 4 A Hierarchical Classification of Euclidean Polytopes with Regularity Properties
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   Chapter 5 Modern Developments in Regular Polytopes
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   Chapter 6 Classification of Locally Toroidal Regular Polytopes
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   Chapter 7 Face Numbers and Subdivisions of Convex Polytopes
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   Chapter 8 Approximation by Convex Polytopes
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    Chapter 9 Some Aspects of the Combinatorial Theory of Convex Polytopes
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    Chapter 10 On Volumes of Non-Euclidean Polytopes
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    Chapter 11 Manifolds in the Skeletons of Convex Polytopes, Tightness, and Generalized Heawood Inequalities
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    Chapter 12 Generalized Stress and Motions
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    Chapter 13 Polytopes and Brunn-Minkowski Theory
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    Chapter 14 A Survey of Eulerian Posets
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    Chapter 15 On Recent Progress in Computational Synthetic Geometry
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    Chapter 16 The Ridge Graph of the Metric Polytope and Some Relatives
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    Chapter 17 On the Complexity of Some Basic Problems in Computational Convexity
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    Chapter 18 The Diameter of Polytopes and Related Applications
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    Chapter 19 Contributed Problems
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    Chapter 20 Three Problems About 4-Polytopes