Geometric Puzzles
ABCD is a long rectangular piece of paper. When folded along EF as shown in Figure 8.1, with AB landing on A’B’, the distance between A’B’ and CD is 2 centimeters.
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Andy Liu George Sicherman Takayuki Yoshigahara
The Puzzles of Nobuyuki Yoshigahara
Problem Books in Mathematics Series Editor: Peter Winkler Department of Mathematics Dartmouth College Hanover, NH 03755 USA
More information about this series at http://www.springer.com/series/714
Andy Liu • George Sicherman Takayuki Yoshigahara
The Puzzles of Nobuyuki Yoshigahara
Andy Liu Edmonton, AB, Canada
George Sicherman Wayside, NJ, USA
Takayuki Yoshigahara Tokyo, Japan
All puzzles described in this book were originally conceived by Nobuyuki Yoshigahara (deceased). ISSN 0941-3502 ISSN 2197-8506 (electronic) Problem Books in Mathematics ISBN 978-3-030-62895-6 ISBN 978-3-030-62896-3 (eBook) https://doi.org/10.1007/978-3-030-62896-3 Mathematics Subject Classification (2020): 00A07, 97D50, 97U40 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed 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. 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. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Dedicated to the memory of
John Conway, Martin Gardner, Solomon Golomb, Richard Guy, Klaus Peters, Raymond Smullyan and
Nob Yoshigahara
Preface My fondest memory was sitting at my father’s knees as he designed mechanical puzzles in the small craft shop at home. Apart from a creative mind, he also had dexterous hands. Many of his puzzles were marketed, but I had the special privilege of playing with a huge number of puzzles he was developing but did not eventually release. My father was thinking of puzzles every day. He always carried a notepad to jot down inspirations of the moment. Although he had a puzzle column in several magazines, he was always able to meet their deadlines. My father was intoxicated with both p
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