Architecture and Mathematics from Antiquity to the Future Volume

The aim of this collection of essays is to present a broad portrait of the ways in which two seemingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathem

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Architecture and Mathematics from Antiquity to the Future Volume I: Antiquity to the 1500s

Architecture and Mathematics from Antiquity to the Future

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Kim Williams • Michael J. Ostwald Editors

Architecture and Mathematics from Antiquity to the Future Volume I: Antiquity to the 1500s

Editors Kim Williams Kim Williams Books Torino, Italy

Michael J. Ostwald School of Architecture and Built Environment The University of Newcastle Callaghan, Australia

Cover photo: The Pyramids of Akhet Khufu, Khafre and Menkaura, Giza, Egypt. Photograph © Giulio Magli, reproduced by permission.

ISBN 978-3-319-00136-4 ISBN 978-3-319-00137-1 (eBook) DOI 10.1007/978-3-319-00137-1 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014958157 © Springer International Publishing Switzerland 2015 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 Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer International Publisher is part of Springer Science+Business Media (www.birkhauser-science.com)

Preface to Architecture and Mathematics from Antiquity to the Future

In June of 1996, in his keynote address at the conference ‘Nexus’96: Relationships Between Architecture and Mathematics’, the founding international conference of what would become an international community for research in a new interdisciplinary field, eminent engineer Mario Salvado