Overview

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.

Full Product Details

Author:   Robert Connelly ,  Asia Ivić Weiss ,  Walter Whiteley
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2014
Volume:   70
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   5.796kg
ISBN:  

9781493949700

ISBN 10:   1493949705
Pages:   374
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Volumes of Polytopes in Spaces of Constant Curvature (N. Abrosimov, A. Mednykh).- Cubic Cayley Graphs and Snarks (H. Ademir, K. Kutnar, D. Marušič).- Local, Dimensional and Universal Rigidities: A unified Gram Matrix Approach (A. Alfakih).- Geometric Constructions for Symmetric 6-Configurations (L.W. Berman).- On External Symmetry Groups of Regular Maps (M.D.E. Conder, Y.S. Kwon, J. Širáň).- Variance Groups and the Structure of Mixed Polytopes (G. Cunningham).- Mobility in Symmetry-Regular Bar-and-Joint Frameworks (P.W. Fowler, S.D. Guest, B. Schulze).- Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces (S.J. Gortler, D.P. Thurston).- Chiral Polytopes and Suzuki simple Group (I. Hubard, D. Leemans).- Globally Linked Pairs of Vertices in Rigid Frameworks (B. Jackson, T. Jordán, Z. Szabadka).- Beauville Surfaces and Groups: A survey (G.A. Jones).- Generic Rigidity with Forced symmetry and Sparse Colored Graphs (G. Malestein, L. Theran).- Rigidity of Regular Polytopes (P. McMullen).- Hereditary Polytopes (M. Mixer, E. Schulte, A.I. Weiss).- One Brick at a Time: A Survey of Inductive Constructions in Rigidity Theory (A. Nixon, E. Ross).- Polygonal Complexes and Graphs for Crystallographic Groups (D. Pellicer, E. Schulte).- Two Notes on Maps and Surface Symmetry (T.W. Tucker).- Buildings and s-Transitive Graphs (R.M. Weiss).

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