The Resource Rigidity and Symmetry, edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley, (electronic resource)

Rigidity and Symmetry, edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley, (electronic resource)

Label
Rigidity and Symmetry
Title
Rigidity and Symmetry
Statement of responsibility
edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
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
Member of
Dewey number
  • 511.5
  • 513.6
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • o0v7pxcU1A0
  • dMvoz6EF3LA
  • Wg1ezLqL05s
Language note
English
LC call number
QA166-166.247
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Connelly, Robert.
  • Ivić Weiss, Asia.
  • Whiteley, Walter.
Series statement
Fields Institute Communications,
Series volume
70
http://library.link/vocab/subjectName
  • Combinatorics
  • Discrete groups
  • Topology
  • Graph Theory
  • Combinatorics
  • Polytopes
  • Convex and Discrete Geometry
  • Topology
Label
Rigidity and Symmetry, edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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)
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (378 p.)
Form of item
online
Isbn
9781493907816
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4939-0781-6
Specific material designation
remote
System control number
  • (CKB)3710000000129994
  • (EBL)1783833
  • (SSID)ssj0001277624
  • (PQKBManifestationID)11739177
  • (PQKBTitleCode)TC0001277624
  • (PQKBWorkID)11280333
  • (PQKB)10336014
  • (MiAaPQ)EBC1783833
  • (DE-He213)978-1-4939-0781-6
  • (EXLCZ)993710000000129994
Label
Rigidity and Symmetry, edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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)
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (378 p.)
Form of item
online
Isbn
9781493907816
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4939-0781-6
Specific material designation
remote
System control number
  • (CKB)3710000000129994
  • (EBL)1783833
  • (SSID)ssj0001277624
  • (PQKBManifestationID)11739177
  • (PQKBTitleCode)TC0001277624
  • (PQKBWorkID)11280333
  • (PQKB)10336014
  • (MiAaPQ)EBC1783833
  • (DE-He213)978-1-4939-0781-6
  • (EXLCZ)993710000000129994

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