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       Copyright

      4th Estate

      An imprint of HarperCollinsPublishers

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      London SE1 9GF

       www.4thEstate.co.uk

      First published in Great Britain by 4th Estate in 2019

      Copyright © Marcus du Sautoy 2019

      Marcus du Sautoy asserts the moral right to be identified as the author of this work.

      All reasonable efforts have been made by the author and the publisher to trace the copyright holders of the images and material quoted in this book. In the event that the author or publisher are contacted by any of the untraceable copyright holders after the publication of this book, the author and the publisher will endeavour to rectify the position accordingly.

      Diagrams redrawn by Martin Brown

      Cover image © Hands of God and Adam, detail from The Creation of Adam, from the Sistine Ceiling, 1511 (fresco) (pre restoration), Buonarroti, Michelangelo (1475-1564) / Vatican Museums and Galleries, Vatican City / Bridgeman Images

      A catalogue record for this book is available from the British Library.

      All rights reserved under International and Pan-American Copyright Conventions. By payment of the required fees, you have been granted the non-exclusive, non-transferable right to access and read the text of this e-book on-screen. No part of this text may be reproduced, transmitted, down-loaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of HarperCollins.

      Source ISBN: 9780008288198

      Ebook Edition © March 2019 ISBN: 9780008288167

      Version: 2020-01-30

       Dedication

       To Shani, for all her love and support, creativity and intelligence