ORIGAMI SCIENCE &amp

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
128 083 670
Editors:
Koryo Miura
Tomoko Fuse
Toshikazu Kawasaki
Jun Maekawa
89
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
Proposal of a Term Origamics
233
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
Kunio Suzuki
361
'Snow Crystals' : Some New Approaches to Geometric Origami
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 l i n e 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.