Rigidity and Symmetry

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. Ov

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Robert Connelly Asia Ivic´ Weiss Walter Whiteley Editors

Rigidity and Symmetry

Fields Institute Communications VOLUME 70 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Carl R. Riehm, Managing Editor Edward Bierstone, Director of the Institute Matheus Grasselli, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University

The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.

For further volumes: http://www.springer.com/series/10503

Robert Connelly • Asia Ivi´c Weiss • Walter Whiteley Editors

Rigidity and Symmetry

The Fields Institute for Research in the Mathematical Sciences

123

Editors Robert Connelly Department of Mathematics Cornell University Ithaca, NY, USA

Asia Ivi´c Weiss Department of Mathematics and Statistics York University Toronto, ON, Canada

Walter Whiteley Department of Mathematics and Statistics York University Toronto, ON, Canada

ISSN 1069-5265 ISSN 2194-1564 (electronic) ISBN 978-1-4939-0780-9 ISBN 978-1-4939-0781-6 (eBook) DOI 10.1007/978-1-4939-0781-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014938202 Mathematics Subject Classification (2010): 05C, 05E, 20B, 20D, 20E, 51E, 51M, 52B, 52C © Springer Science+Business Media New York 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Cop