Michael G. LaFosse

Geometric Origami


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      The Tuttle Story

      “Books to Span the East and West”

      Most people are surprised to learn that the world’s largest publisher of books on Asia had its humble beginnings in the tiny American state of Vermont. The company’s founder, Charles

       E. Tuttle, belonged to a New England family steeped in publishing. And his first love was naturally books—especially old and rare editions.

      Immediately after WW II, serving in Tokyo under General Douglas MacArthur, Tuttle was tasked with reviving the Japanese publishing industry. He later founded the Charles E. Tuttle Publishing Company, which thrives today as one of the world’s leading independent publishers.

      Though a westerner, Tuttle was hugely instrumental in bringing a knowledge of Japan and Asia to a world hungry for information about the East. By the time of his death in 1993, Tuttle had published over 6,000 books on Asian culture, history and art—a legacy honored by the Japanese emperor with the “Order of the Sacred Treasure,” the highest tribute Japan can bestow upon a non-Japanese.

      With a backlist of 1,500 titles, Tuttle Publishing is more active today than at any time in its past—inspired by Charles Tuttle’s core mission to publish fine books to span the East and West and provide a greater understanding of each.

      Published by Tuttle Publishing, an imprint of Periplus Editions (HK) Ltd.

       www.tuttlepublishing.com

      Copyright © 2011 Michael LaFosse, Richard Alexander, Origamido, Inc.

      All rights reserved. No part of this publication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without prior written permission from the authors. The models in this book may not be used for commercial purposes without the express written permission of the authors.

      Library of Congress Cataloging-in-Publication Data

       ISBN 978-4-8053-1150-9

      LaFosse, Michael G.

      Geometric origami kit : the art of modular paper sculpture /

       Michael LaFosse, Richard Alexander.

       p. cm.

       ISBN 978-4-8053-1150-9

       ISBN 978-1-4629-1578-1 (ebook)

      1. Origami. 2. Paper sculpture. 3. Geometry in art. I. Alexander, Richard L., 1953- II. Title.

       TT870.L2336 2011

       736’.982--dc23

      2011019343

      Distributed by

      North America, Latin America & Europe

       Tuttle Publishing, 364 Innovation Drive, North Clarendon, VT 05759-9436

       U.S.A.

       Tel: 1 (802) 773-8930 | Fax: 1 (802) 773-6993

       [email protected] | www.tuttlepublishing.com

      Asia Pacific

       Berkeley Books Pte. Ltd., 61 Tai Seng Avenue #02-12, Singapore 534167

       Tel: (65) 6280-1330 | Fax: (65) 6280-6290

       [email protected] | www.periplus.com

      Japan

       Tuttle Publishing, Yaekari Building, 3rd Floor, 5-4-12 Osaki, Shinagawa-ku

       Tokyo 141 0032

       Tel: (81) 3 5437-0171 | Fax: (81) 3 5437-0755

       [email protected] | www.tuttle.co.jp

      16 15 14 13 12 8 7 6 5 4 3 2 1204EP

       Printed in Hong Kong

      TUTTLE PUBLISHING® is a registered trademark of Tuttle Publishing, a division of Periplus Editions (HK) Ltd

Contents

       Introduction

       The Compass Star

       The Aster

       The Mette Unit Ring One

       The I-Ching Wheel

       The Lightning Bolt Octahedron

       The Alexander Modular Dish

       The Butterfly Ball

       The Borloz Ball 1 & 2

       The Picture Cube

       The WXYZ

       The Modular Crane

       The HOU-SAN-CHUU (Radiolaria)

       The Sonobe Module and Cube

       The Magic Rose Cube

      How to Download the Bonus Material of this Book.

      1. You must have an internet connection.

      2. Click the link below or copy paste the URL to your web browser.

       http://www.tuttlepublishing.com/geometric-origami-kit-downloadable-cd-content

      For support email us at [email protected].

      Introduction

      Some of the most popular classes at our Origamido Studio in Massachusetts (and at our Origami Do Experience in Waikiki) involve multiple, interlocking pieces of folded paper. This field of “Geometric Origami” has grown in popularity as more origami practitioners in the fields of mathematics, engineering, and computer science have enriched the origami community with their stunning, innovative, folded designs. This collection represents some of the best-loved designs from these distinguished creators. The video provides you with repeatable private lessons on all of these projects. Using the “Pause” and “Play” features on your computer or player will allow you to learn at your own pace.

      Folding modular elements requires skill to produce neat, precise and crisp folds. Technique is also important. Stacking each of the finished pieces also helps ensure that each is congruent (and not wrong-handed). Turning the piece as you fold each edge or flap away from you helps produce consistent folds. Perhaps it is easier for your brain to calibrate and refine the forces in your hands and fingers when the posture and motions are limited (at first by choice, and then by habit). The process of folding multiple pieces also provides repetition, so once you have folded a certain modular design, you might just remember how to fold it forever!