Mathematics and Modern Art Proceedings of the First ESMA Conference,
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Man
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Claude Bruter Editor
Mathematics and Modern Art Proceedings of the First ESMA Conference, held in Paris, July 19-22, 2010
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Editor Claude Bruter ESMA Institut Henri Poincare´ Paris, France
ISSN 2190-5614 e-ISSN 2190-5622 ISBN 978-3-642-24496-4 e-ISBN 978-3-642-24497-1 DOI 10.1007/978-3-642-24497-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2012934047 Mathematical Subject Classification (2010): 00A66, 00B15, 35C08, 3701, 37C10, 51M10, 5301, 5401, 57M25, 5 M99 # Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The first Conference of the European Society for Mathematics and the Arts (ESMA) was held at the Henri Poincare´ Institute in Paris from 19 July to 22 July 2010, and was accompanied by an exhibition at the same Institute (see http://mathart.eu/ihp10/index.html). This volume gathers together the texts of the majority of talks held during the conference. A large proportion of the public may still question whether one can closely link mathematics and art. In fact, that link, implicit or explicit, was established with the first creations of decorative and religious art. Great painters, whose imagination and creativity also had a rational basis, found the structural foundations of their art inside the mathematics to whose development they sometimes contributed. The remarkable course of the symbolic sciences in the last 150 years and what it has revealed have provided us an inkling of the diversity of forms that can populate spaces, and above all ours. Because it is not bound with numbers, this diversity is infinite. These forms, mostly unexpected and often very beautiful, cannot help but arouse the curiosity of mathematicians and artists alike. By making these forms known through their work—which allows them to reach the peoples of all countries— artists contribute in a subtle way to making everyone familiar with this wonderful and plentiful universe of new objects. As such, they make an essential contribution to breaking down the psychological barriers that still separate mathe
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