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Rigidity and Symmetry

  • Robert Connelly
  • Asia Ivić Weiss
  • Walter Whiteley

Part of the Fields Institute Communications book series (FIC, volume 70)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Nikolay Abrosimov, Alexander Mednykh
    Pages 1-26
  3. Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič
    Pages 27-40
  4. Marston D. E. Conder, Young Soo Kwon, Jozef Širáň
    Pages 87-96
  5. P. W. Fowler, S. D. Guest, B. Schulze
    Pages 117-130
  6. Steven J. Gortler, Dylan P. Thurston
    Pages 131-154
  7. Isabel Hubard, Dimitri Leemans
    Pages 155-175
  8. Bill Jackson, Tibor Jordán, Zoltán Szabadka
    Pages 177-203
  9. Gareth A. Jones
    Pages 205-225
  10. Justin Malestein, Louis Theran
    Pages 227-252
  11. Peter McMullen
    Pages 253-278
  12. Mark Mixer, Egon Schulte, Asia Ivić Weiss
    Pages 279-302
  13. Daniel Pellicer, Egon Schulte
    Pages 325-344
  14. Thomas W. Tucker
    Pages 345-355
  15. Richard M. Weiss
    Pages 357-374

About this book

Introduction

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. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. 

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. 

The volume will also 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 postdocs, structural engineers, and chemists.

Keywords

Cauchy identity Peterson algebras Pieri rules abstract polytope theory infinite groups rigidity theory

Editors and affiliations

  • Robert Connelly
    • 1
  • Asia Ivić Weiss
    • 2
  • Walter Whiteley
    • 3
  1. 1.Department of MathematicsCornell UniversityIthacaUSA
  2. 2.Department of Mathematics and StatisticsYork UniversityTorontoCanada
  3. 3.Department of Mathematics & StatisticsYork UniversityTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-0781-6
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-0780-9
  • Online ISBN 978-1-4939-0781-6
  • Series Print ISSN 1069-5265
  • Series Online ISSN 2194-1564
  • Buy this book on publisher's site