Title | The Geometric Vein [electronic resource] : The Coxeter Festschrift / edited by Chandler Davis, Branko Grรผnbaum, F. A. Sherk |
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Imprint | New York, NY : Springer New York, 1981 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5648-9 |
Descript | 598p. online resource |
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 Schoenbergโs Star-Polytopes from Schouteโs 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 Coxeterโs 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 Minkowskiโs Lattice Point Theorem -- Intersections of Convex Bodies with Their Translates -- An Extremal Property of Plane Convex Curvesโ P. Ungarโs Conjecture -- III: Geometric Transformations -- Polygons and Polynomials -- Algebraic Surfaces with Hyperelliptic Sections -- On the Circular Transformations of Mรถbius, 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 Kleinโs 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