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Adventures in Group Theory

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Adventures in Group Theory

Rubik’s Cube, Merlin’s Machine,

and Other Mathematical Toys

Second Edition

David Joyner

The Johns Hopkins University Press

Baltimore

2008 The Johns Hopkins University Press

Printed in the United States of America on acid-free paper

987654321

The Johns Hopkins University Press

2715 North Charles Street

Baltimore, Maryland 21218-4363

www.press.jhu.edu

Library of Congress Cataloging-in-Publication Data

Joyner, David, 1959–

Adventures in group theory : Rubik’s cube, Merlin’s machine, and other

mathematical toys / David Joyner—2nd ed.

p. cm.

Includes bibliographical references and index.

ISBN-13: 978-0-8018-9012-3 (hardcover : alk. paper)

ISBN-13: 978-0-8018-9013-0 (pbk.: alk. paper)

ISBN-10: 0-8018-9012-8 (hardcover : alk. paper)

ISBN-10: 0-8018-9013-6 (pbk.: alk. paper)

1. Group theory. 2. Mathematical recreations. I. Title.

QA 174.2.J69 2008

512 .2—dc22

2008011322

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

Special discounts are available for bulk purchases of this book. For more

information, please contact Special Sales at 410-516-6936 or

specialsales@press.jhu.edu.

The Johns Hopkins University Press uses environmentally friendly book

materials, including recycled text paper that is composed of at least 30

percent post-consumer waste, whenever possible. All of our book papers

are acid-free, and our jackets and covers are printed on paper with

recycled content.