ORIGAMI SCIENCE & ART
1994 Otsu Shiga Japan
Proceedings of the Second International Meeting of Origami Science and Scientific Origami
TECHNISCHE INFORMATIONSBIBLIOTHEK UNIVERSITATSBIBLIOTHEK HAMNOVER
November 29-December 2, 1994 Seian University of Art and Design Otsu, Shiga, Japan TIB/UB Hannover 89 128 083 670
Editors: Koryo Miura Tomoko Fuse Toshikazu Kawasaki Jun Maekawa Contents
Preface Koryo Miura, Tomoko Fuse, Toshikazu Kawasaki, and Jun Maekawa I
Welcome to Otsu Yoheilzutsu IE
For the Second International Meeting of Origami Science and Scientific Origami Kodi Husimi IV
Papers
Fujimoto Successive Method to Obtain Odd-Number Section of a Segment or an Angle by Folding Operations Humiaki Huzita and Shuzo Fujimoto 1
Towards a Mathematical Theory of Origami Jacques Justin 15
Toshikazu Kawasaki 31
Fold - its Physical and Mathematical Principles Koryo Miura 41
Four-dimensional Origami Koji Miyazaki 51
The Technique to Fold Free Flaps of Formative Art "ORIGAMI" Fumiaki Kawahata 63
The Tree Method of Origami Design Robert J. Lang 73
Folding of Uniform Plane Tessellations Tibor Tarnai 83
Folded and Unfolded Nature Biruta Kresling 93
Similarity in Origami Jun Maekawa 109
Breaking Symmetry: Origami, Architecture, and the Forms of Nature Peter Engel 119
Discrete Symmetric Origami Structures : Dissigami Misha Litvinov 147
Planar Graphs and Modular Origami Thomas Hull 151 Origami-Model of Crystal Structure, II. Spinel and Corundum Structures Shozo Ishihara 161
The Platonic Solids and its Interrelated Solids Shuzo Fujimoto 171
Molecular Modeling of Fullerenes with Modular Origami Louis A. Cuccia , R. Bruce Lennox and Francis M.Y.Ow 181
Envelope-Folding Useful for Chemical Education Shukichi Yamana 189
Finding Convex Deltahedra through Origami Youko Horii 201
Polyhedron Origami: A Possible Formulation by "Simple Units" Miyuki Kawamura 209
Modular Origami Polyhedra Rona Gurkewitz 221
Symmetry in Two-and Three-dimensional Origami with Knotted Tape Heinz Strobl 225
A Study on the Twist in Quadrangular Origami Tubes Noriko Nagata 233
Proposal of a Term Origamics for Plastic Origami - Workless Scientific Origami Kazuo Haga 239
ORIGAMI as an Aid to Understanding Symmetry Groups Junko Nitta 249
HyperGami : A Computational System for Creating Decorated Paper Constructions Michael Eisenberg and Ann Nishioka 259
Using Origami as a Teaching Tool Toshinori Tanaka 269
Teaching Origami to Develop Visual/Spatial Perception Judy Hall 279
Physically Handicapped and Origami Saburo Kase 295
Origamic Architecture Masahiro Chatani 303
Tridimensional Transformations of Paper by Cutting and Folding Ramin Razani 311
Artistic Tiling Problem by Origami Peterpaul Forcher 313
Extruding and Tessellating Polygons from a Plane Chris K. Palmer 323 Hikari-ori Reflective Folding James Minoru Sakoda 333 lines Meeting on a Surface the "MARS" Paperfolding Paulo Taborda Barreto 343
Creative Origami 'Snow Crystals' : Some New Approaches to Geometric Origami Kunio Suzuki 361
Art, Origami and Education John S. Smith 379
Form of Origami Yoshihide Momotani 389
Origami Fractal Kenzo Takei 395
Block Origami System Yoshio Sato 401
Traditional and Technical ( David Brill • 413
Thoughts on the Future of Origami Design : Something Old, Something New Herman Van Goubergen 425
One Crease Origami : Less is More Paul Jackson 431
Image Game Kunihiko Kasahara 441
The Cube Story Told in Modular-Origami Language Tomoko Fuse 451
Movement of Nature and Folding line Structures and Others Akira Yoshizawa 463
Origami and Motivation Thoki Yenn 469
How the Origami Model Explains the Theory of Kikujutsu Toshiyuki Iwasaki 481
The Origins of Origami or the Other Side to Origami Makio Araki 495
The Roots of Origami and its Cultural Background Koya Ohashi 503
Some Observations on the History of Paperfolding in Japan and the West - a Development in Parallel David Lister 511
Another View of the Word "ORIGAMI" Masao Okamura 525 Right Angle Billiard Games and their Solutions by Folding Paper Humiaki Huzita 541
Program A— I
Meeting Organization A— V
Participating Organizations A— VI
About the picture on the cover page
Orizuru (Paper crane) is one of representative models in origami. The motif of the picture on the cover page is orizuru too. Square parts in the picture show main structures of orizurus. Straight lines show creases, and arcs and circles lengths of projections.