Polytopes Abstract, Convex and Computational

Polytopes Abstract, Convex and Computational / edited by Tibor Bisztriczky, Peter McMullen, Rolf Schneider, Asia Ivic Weiss.

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Bisztriczky, Tibor (Editor), McMullen, Peter (Editor), Schneider, Rolf (Editor), Weiss, Asia Ivic (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1994.
Edition:1st ed. 1994.
Series:Nato Science Series C:, Mathematical and Physical Sciences, 440
Springer eBook Collection.
Subjects:
Geometry.
Convex geometry .
Discrete geometry.
Numerical analysis.
Computer science—Mathematics.
Group theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Abstract
  • Recent results on Coxeter groups
  • The evolution of Coxeter-Dynkin diagrams
  • Polyhedra with hollow faces
  • A hierarchical classification of Euclidean polytopes with regularity properties,
  • Modern developments in regular polytopes
  • Classification of locally toroidal regular polytopes
  • Convex
  • Face numbers and subdivisions of convex polytopes
  • Approximation by convex polytopes
  • Some aspects of the combinatorial theory of convex polytopes
  • On volumes of non-Euclidean polytopes
  • Manifolds in the skeletons of convex polytopes,tightness, and generalized Heawood inequalities
  • Generalized stress and motions
  • Polytopes and Brunn-Minkowski theory
  • A survey of Eulerian posets
  • Computational
  • On recent progress in computational synthetic geometry
  • The ridge graph of the metric polytope and some relatives
  • On the complexity of some basic problems in Computational Convexity: II. Volume and mixed volumes
  • The diameter of polytopes and related applications
  • Problems
  • Contributed problems
  • Three problems about 4-polytopes.

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