Rigidity and Symmetry
Editors: Connelly, Robert, Ivić Weiss, Asia, Whiteley, Walter (Eds.)
Free Preview- Presents state-of-the-art on the fields of rigidity and symmetry
- Explores the interaction of geometry, algebra and combinatorics, presenting recent trends and advances in discrete geometry
- Extends classical geometry to studies of combinatorial structures
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- About this book
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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.
- Table of contents (18 chapters)
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Volumes of Polytopes in Spaces of Constant Curvature
Pages 1-26
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Cubic Cayley Graphs and Snarks
Pages 27-40
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Local, Dimensional and Universal Rigidities: A Unified Gram Matrix Approach
Pages 41-60
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Geometric Constructions for Symmetric 6-Configurations
Pages 61-85
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On External Symmetry Groups of Regular Maps
Pages 87-96
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Table of contents (18 chapters)
- Download Preface 1 PDF (45.5 KB)
- Download Sample pages 1 PDF (319 KB)
- Download Table of contents PDF (61.9 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Rigidity and Symmetry
- Editors
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- Robert Connelly
- Asia Ivić Weiss
- Walter Whiteley
- Series Title
- Fields Institute Communications
- Series Volume
- 70
- Copyright
- 2014
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4939-0781-6
- DOI
- 10.1007/978-1-4939-0781-6
- Hardcover ISBN
- 978-1-4939-0780-9
- Softcover ISBN
- 978-1-4939-4970-0
- Series ISSN
- 1069-5265
- Edition Number
- 1
- Number of Pages
- VIII, 374
- Number of Illustrations
- 36 b/w illustrations, 28 illustrations in colour
- Topics
