Fields Institute Communications

Rigidity and Symmetry

Editors: Connelly, Robert, Ivić Weiss, Asia, Whiteley, Walter (Eds.)

  • 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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eBook $99.00
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  • ISBN 978-1-4939-0781-6
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Hardcover $129.00
price for USA
  • ISBN 978-1-4939-0780-9
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About this book

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)

  • Volumes of Polytopes in Spaces of Constant Curvature

    Abrosimov, Nikolay (et al.)

    Pages 1-26

  • Cubic Cayley Graphs and Snarks

    Hujdurović, Ademir (et al.)

    Pages 27-40

  • Local, Dimensional and Universal Rigidities: A Unified Gram Matrix Approach

    Alfakih, A. Y.

    Pages 41-60

  • Geometric Constructions for Symmetric 6-Configurations

    Berman, Leah Wrenn

    Pages 61-85

  • On External Symmetry Groups of Regular Maps

    Conder, Marston D. E. (et al.)

    Pages 87-96

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4939-0781-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4939-0780-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4939-4970-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Rigidity and Symmetry
Editors
  • 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 and Tables
36 b/w illustrations, 28 illustrations in colour
Topics