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The Geometric Vein

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Cover of 'The Geometric Vein'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 H. S. M. Coxeter: Published Works
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    Chapter 3 Uniform Tilings with Hollow Tiles
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    Chapter 4 Spherical Tilings with Transitivity Properties
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    Chapter 5 Some Isonemal Fabrics on Polyhedral Surfaces
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    Chapter 6 Convex Bodies which Tile Space
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    Chapter 7 Geometry of Radix Representations
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    Chapter 8 Embeddability of Regular Polytopes and Honeycombs in Hypercubes
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    Chapter 9 The Derivation of Schoenberg’s Star-Polytopes from Schoute’s Simplex Nets
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    Chapter 10 The Harmonic Analysis of Skew Polygons as a Source of Outdoor Sculptures
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    Chapter 11 The Geometry of African Art III. The Smoking Pipes of Begho
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    Chapter 12 Crystallography and Cremona Transformations
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    Chapter 13 Cubature Formulae, Polytopes, and Spherical Designs
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    Chapter 14 Two Quaternionic 4-Polytopes
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    Chapter 15 Span-Symmetric Generalized Quadrangles
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    Chapter 16 On Coxeter’s Loxodromic Sequences of Tangent Spheres
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    Chapter 17 Elementary Geometry, Then and Now
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    Chapter 18 Some Researches Inspired by H. S. M. Coxeter
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    Chapter 19 Some Problems in the Geometry of Convex Bodies
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    Chapter 20 On an Analog to Minkowski’s Lattice Point Theorem
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    Chapter 21 Intersections of Convex Bodies with Their Translates
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    Chapter 22 An Extremal Property of Plane Convex Curves—P. Ungar’s Conjecture
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    Chapter 23 Polygons and Polynomials
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    Chapter 24 Algebraic Surfaces with Hyperelliptic Sections
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    Chapter 25 On the Circular Transformations of Möbius, Laguerre, and Lie
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    Chapter 26 The Geometry of Cycles, and Generalized Laguerre Inversion
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    Chapter 27 Inversive Geometry
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    Chapter 28 Absolute Polarities and Central Inversions
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    Chapter 29 Products of Axial Affinities and Products of Central Collineations
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    Chapter 30 Normal Forms of Isometries
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    Chapter 31 Finite Geometries with Simple, Semisimple and Quasisimple Fundamental Groups
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    Chapter 32 Motions in a Finite Hyperbolic Plane
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    Chapter 33 Generation of Linear Groups
  35. Altmetric Badge
    Chapter 34 On Covering Klein’s Curve and Generating Projective Groups
  36. Altmetric Badge
    Chapter 35 A Local Approach to Buildings
  37. Altmetric Badge
    Chapter 36 Representations and Coxeter Graphs
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    Chapter 37 Coinvariant Theory of a Coxeter Group
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    Chapter 38 Two-Generator Two-Relation Presentations for Special Linear Groups
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    Chapter 39 Groups Related to F a,b,c Involving Fibonacci Numbers
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    Chapter 40 Convex Polyhedra
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    Chapter 41 Non-Hamilton Fundamental Cycle Graphs
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    Chapter 42 Some Combinatorial Identities
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    Chapter 43 Binary Views of Ternary Codes
Attention for Chapter 36: Representations and Coxeter Graphs
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Chapter title
Representations and Coxeter Graphs
Chapter number 36
Book title
The Geometric Vein
Published by
Springer, New York, NY, January 1981
DOI 10.1007/978-1-4612-5648-9_36
Book ISBNs
978-1-4612-5650-2, 978-1-4612-5648-9
Authors

David Ford, John McKay, Ford, David, McKay, John

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 50%
Lecturer 1 50%
Readers by discipline Count As %
Mathematics 1 50%
Agricultural and Biological Sciences 1 50%