The Coxeter Legacy: Reflections and Projections

Preface vii

Coxeter Diagrams xi

Coxeter Graph xiii

The Isomorphism Problem for Coxeter Groups 1
Bernhard Mühlherr

Coxeter Theory: The Cognitive Aspects 17
Alexandre V. Borovik

From Galois and Lie to Tits Buildings 45
Mark Ronan

The Coxeter Element and the Branching Law for the Finite Subgroups of SU(2) 63
Bertram Kostant

Hyperbolic Coxeter Groups and Space Forms 71
Ruth Kellerhals

Regular and Chiral Polytopes in Low Dimensions 87
Peter McMullen and Egon Schulte

Polytopes, Honeycombs, Groups and Graphs 107
Barry Monson and Asia Ivić Weiss

Equivelar Polyhedra 121
Jörg M. Wills

Combinatorics of Sections of Polytopes and Coxeter Groups in Lobachevsky Spaces 129
Askold Khovanskii

Donald and the Golden Rhombohedra 159
Marjorie Senechal

Configurations of Points and Lines 179
Branko Grünbaum

Meditations on Ceva’s Theorem 227
Jürgen Richter-Gebert

Coxeter and the Artists: Two-way Inspiration 255
Doris Schattschneider

The Visual Mind: Art, Mathematics and Cinema 281
Michele Emmer

Publications of H. S. M. Coxeter 297

Index 315