
Scale-isometric Polytopal Graphs In Hypercubes And Cubic Lattices: Polytopes In Hypercubes And Zn
Imperial College Press
Will be published approx. on 16. February 2004
Book
Hardback
188 pages
978-1-86094-421-5 (ISBN)
Description
This monograph identifies polytopes that are "combinatorially ?1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to "?2-prominent" affine polytopal objects.The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph theory. The book concentrates on such concise and, as much as possible, independent definitions. The scale-isometric embeddability - the main unifying question, to which those lists are subjected - is presented with the minimum of technicalities.
Reviews / Votes
"The authors give concise and independent presentations of most of the topics and the readers of different backgounds will be able to browse or study those chapters which are of interest for them. The presentation allows the book to serve a variety of needs." Mathematical ReviewsMore details
Language
English
Place of publication
London
United Kingdom
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 235 mm
Width: 156 mm
Thickness: 15 mm
Weight
404 gr
ISBN-13
978-1-86094-421-5 (9781860944215)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Author
Ecole Normale Superieure, Paris, France
Central Institute Of Mathematical Economics, Moscow, Russia
Steklov Mathematical Inst, Russia
Content
Introduction: Graphs and Their Scale-Isometric Embedding - An Example: Embedding of Fullerenes - Regular Tilings and Honeycombs - Semi-regular Polyhedra and Relatives of Prisms and Antiprisms - Truncation, Capping and Chamfering - 92 Regular-faced (not Semi-regular) Polyhedra - Semi-regular and Regular-faced n-Polytopes, n 4 - Polycycles and Other Chemically Relevant Graphs - Plano Tilings - Uniform; Partitions of 3-Space and Relatives - Lattices, Bi-lattices and Tiles - Small Polyhedra - Bifaced Polyhedra - Special 1-graphs - Some Generalization of 1-embedding