2000 Mathematics Subject Classification. Primary 00A05, 90C27, 05A15.
The photograph on the cover was taken by the author.
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Library of Congress Cataloging-in-Publication Data
The shoelace book : a mathematical guide to the best (and worst) ways to lace your shoes /
p. cm. — (Mathematical world, ISSN 1055-9426 ; v. 24)
Includes bibliographical references and index.
ISBN 0-8218-3933-0 (softcover : alk. paper)
1. Mathematics—Miscellanea. 2. Combinatorial optimization. 3. Shoelaces—Mathematics.
I. Title. II. Series.
QA99 .P65 2006
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Republication, systematic copying, or multiple reproduction of any material in this publication
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2006 by the American Mathematical Society. All rights reserved.
Printed in the United States of America.
∞ The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
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