A Primer for Undergraduate Research From Groups and Tiles to Frames
This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle
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Aaron Wootton Valerie Peterson Christopher Lee Editors
A Primer for Undergraduate Research From Groups and Tiles to Frames and Vaccines
Foundations for Undergraduate Research in Mathematics Series editor Aaron Wootton Department of Mathematics, University of Portland, Portland, USA
More information about this series at http://www.springer.com/series/15561
Aaron Wootton • Valerie Peterson Christopher Lee Editors
A Primer for Undergraduate Research From Groups and Tiles to Frames and Vaccines
Editors Aaron Wootton Department of Mathematics University of Portland Portland, OR, USA
Valerie Peterson Department of Mathematics University of Portland Portland, OR, USA
Christopher Lee Department of Mathematics University of Portland Portland, OR, USA
ISSN 2520-1212 ISSN 2520-1220 (electronic) Foundations for Undergraduate Research in Mathematics ISBN 978-3-319-66064-6 ISBN 978-3-319-66065-3 (eBook) DOI 10.1007/978-3-319-66065-3 Library of Congress Control Number: 2017959749 Mathematics Subject Classification: 00A05, 00A07, 00A08, 00B10 © Springer International Publishing AG 2017 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. 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, express 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. Printed on acid-free paper This book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents
Coxeter Groups and the Davis Complex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Timothy A. Schroeder A Tale of Two Symmetries: Embeddable and Non-embeddable Group Actions on Surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Valerie Peterson and Aaron Wootton
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Tile Invariants for Tackling Tiling Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Mich
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