The Geometric Vein

H. S. M. Coxeter: Published Works.- I: Polytopes and Honeycombs.- Uniform Tilings with Hollow Tiles.- Spherical Tilings with Transitivity Properties.- Some Isonemal Fabrics on Polyhedral Surfaces.- Convex Bodies which Tile Space.- Geometry of Radix Representations.- Embeddability of Regular Polytopes and Honeycombs in Hypercubes.- The Derivation of Schoenberg's Star-Polytopes from Schoute's Simplex Nets.- The Harmonic Analysis of Skew Polygons as a Source of Outdoor Sculptures.- The Geometry of African Art III. The Smoking Pipes of Begho.- Crystallography and Cremona Transformations.- Cubature Formulae, Polytopes, and Spherical Designs.- Two Quaternionic 4-Polytopes.- Span-Symmetric Generalized Quadrangles.- On Coxeter's Loxodromic Sequences of Tangent Spheres.- II: Extremal Problems.- Elementary Geometry, Then and Now.- Some Researches Inspired by H. S. M. Coxeter.- Some Problems in the Geometry of Convex Bodies.- On an Analog to Minkowski's Lattice Point Theorem.- Intersections of Convex Bodies with Their Translates.- An Extremal Property of Plane Convex Curves- P. Ungar's Conjecture.- III: Geometric Transformations.- Polygons and Polynomials.- Algebraic Surfaces with Hyperelliptic Sections.- On the Circular Transformations of Mobius, Laguerre, and Lie.- The Geometry of Cycles, and Generalized Laguerre Inversion.- Inversive Geometry.- Absolute Polarities and Central Inversions.- Products of Axial Affinities and Products of Central Collineations.- Normal Forms of Isometries.- Finite Geometries with Simple, Semisimple, and Quasisimple Fundamental Groups.- Motions in a Finite Hyperbolic Plane.- IV: Groups and Presentations of Groups.- Generation of Linear Groups.- On Covering Klein's Curve and Generating Projective Groups.- A Local Approach to Buildings.- Representations and Coxeter Graphs.- Coinvariant Theory of a Coxeter Group.- Two-Generator Two-Relation Presentations for Special Linear Groups.- Groups Related to Fa,b,c Involving Fibonacci Numbers.- V: The Combinatorial Side.- Convex Polyhedra.- Non-Hamilton Fundamental Cycle Graphs.- Some Combinatorial Identities.- Binary Views of Ternary Codes.