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E-grāmata: Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education

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Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.

The fifth such meeting, 5OSME (July 1317, 2010, Singapore Management University) followed the precedent previous meetings to explore the interdisciplinary connections between origami and the real world. This book begins with a section on origami history, art, and design. It is followed by sections on origami in education and origami science, engineering, and technology, and culminates with a section on origami mathematicsthe pairing that inspired the original meeting.

Within this one volume, you will find a broad selection of historical information, artists descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the mathematical underpinnings of origami.

Recenzijas

I will readily admit I became engaged with, even engrossed in, this seminal volume on the multifaceted aspects of the art, history, science, and engineering of origami in almost four dozen short papers astutely organized, really threaded through, four main sections. There is plenty of mathematics learning and teaching engagingly embedded within the covers. Theres something for virtually everyone, students and teachers alike, those mathematically or artistically inclined or interested, and those not so much. novices and the origami-ignorant like me can find starting points to commence their own personalized explorations of this fascinating field. So, pick up this volume and begin unfolding it to reveal all its intricacies. May you find your own treasure ship or sacred crane among its pages! John E. Hammett III, Professor of Mathematics, Saint Peters University, and President, New Jersey Association of Mathematics Teacher Educators

When I first visited Japan in 1983 I was curious to learn how origami was taught and developed in Japan. My search for a connection of origami with mathematics was not successful at that time. I wished that I could have seen a book or even some articles as they are published now in this book Until recently, the scientific view of origami was rather underdeveloped and [ these] proceedings might change this. Wolfgang Polasek, International Statistical Review, 2012

Origami 5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of international meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields. Within this one volume, you will find a broad selection of historical information, artists descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the underpinnings of origami. LEnseignement Mathematique (2) 57, 2011

fascinating With Origami 5 you can make everything from an origami angel to a full-sized baseball cap and learn all the associated mathematics along the way. Kay Gilliland, NCSM Newsletter, Winter 2011

Praise for the Previous Volume:Wow! Fantastic book! It will create new folds in your brain whether you are an artist, scientist, inventor, educator, or simply like to be amazed. The balance between mathematical theory and manipulative practice, and between artistic and educational applications makes this a book for everyone. I look forward to using this book personally and professionally. Robert Root-Bernstein, Ph.D., co-author of Sparks of Genius: The Thirteen Thinking Tools of the World's Most Creative People

Preface xvii
I Origami History, Art, and Design
1(138)
History of Origami in the East and the West before Interfusion
3(10)
Koshiro Hatori
Deictic Properties of Origami Technical Terms and Translatability: Cross-Linguistic Differences between English and Japanese
13(16)
Koichi Tateishi
Betsy Ross Revisited: General Fold and One-Cut Regular and Star Polygons
29(10)
Arnold Tubis
Crystal Elaine Mills
Reconstructing David Huffman's Legacy in Curved-Crease Folding
39(14)
Erik D. Demaine
Martin L. Demaine
Duks Koschitz
Simulation of Nonzero Gaussian Curvature in Origami by Curved-Crease Couplets
53(16)
Cheng Chit Leong
Compression and Rotational Limitations of Curved Corrugations
69(12)
Christine E. Edison
Polygon Symmetry Systems
81(8)
Andrew Hudson
New Collaboration on Modular Origami and LED
89(10)
Miyuki Kawamura
Hiroyuki Moriwaki
Using the Snapology Technique to Teach Convex Polyhedra
99(12)
Faye Goldman
A Systematic Approach to Twirl Design
111(16)
Krystyna Burczyk
Wojciech Burczyk
Oribotics: The Future Unfolds
127(12)
Matthew Gardiner
II Origami in Education
139(112)
Origametria and the van Hiele Theory of Teaching Geometry
141(10)
Miri Golan
Student Teachers Introduce Origami in Kindergarten and Primary Schools: Froebel Revisited
151(14)
Maria Lluisa Fiol
Neus Dasquens
Montserrat Prat
Narratives of Success: Teaching Origami in Low-Income Urban Communities
165(8)
Christine E. Edison
Origami and Spatial Thinking of College-Age Students
173(16)
Norma Boakes
Close Observation and Reverse Engineering of Origami Models
189(16)
James Morrow
Charlene Morrow
Origami and Learning Mathematics
205(14)
Sue Pope
Tung Ken Lam
Hands-On Geometry with Origami
219(14)
Michael J. Winckler
Kathrin D. Wolf
Hans Georg Bock
My Favorite Origamics Lessons on the Volume of Solids
233(18)
Shi-Pui Kwan
III Origami Science, Engineering, and Technology
251(142)
Rigid-Foldable Thick Origami
253(12)
Tomohiro Tachi
Folding a Patterned Cylinder by Rigid Origami
265(12)
Kunfeng Wang
Yan Chen
The Origami Crash Box
277(14)
Jiayao Ma
Zhong You
Origami Folding: A Structural Engineering Approach
291(14)
Mark Schenk
Simon D. Guest
Designing Technical Tessellations
305(18)
Yves Klett
Klaus Drechsler
A Simulator for Origami-Inspired Self-Reconfigurable Robots
323(12)
Steven Gray
Nathan J. Zeichner
Mark Yim
Vijay Kumar
A CAD System for Diagramming Origami with Prediction of Folding Processes
335(12)
Naoya Tsuruta
Jun Mitani
Yoshihiro Kanamori
Yukio Fukui
Development of an Intuitive Algorithm for Diagramming and 3D Animated Tutorial for Folding Crease Patterns
347(24)
Hugo Akitaya
Matheus Ribeiro
Carla Koike
Jose Ralha
Hands-Free Microscale Origami
371(14)
Noy Bassik
George M. Stern
Alla Brafman
Nana Y. Atuobi
David H. Gracias
Foldable Parylene Origami Sheets Covered with Cells: Toward Applications in Bio-Implantable Devices
385(8)
Kaori Kuribayashi-Shigetomi
Shoji Takeuchi
IV Mathematics of Origami
393(234)
Introduction to the Study of Tape Knots
395(10)
Jun Maekawa
Universal Hinge Patterns for Folding Orthogonal Shapes
405(16)
Nadia M. Benbernou
Erik D. Demaine
Martin L. Demaine
Aviv Ovadya
A General Method of Drawing Biplanar Crease Patterns
421(16)
Herng Yi Cheng
A Design Method for Axisymmetric Curved Origami with Triangular Prism Protrusions
437(12)
Jun Mitani
Folding Any Orthogonal Maze
449(6)
Erik D. Demaine
Martin L. Demaine
Jason S. Ku
Every Spider Web Has a Simple Flat Twist Tessellation
455(20)
Robert J. Lang
Alex Bateman
Flat-Unfoldability and Woven Origami Tessellations
475(14)
Robert J. Lang
Degenerative Coordinates in 22.5° Grid System
489(10)
Tomohiro Tachi
Erik D. Demaine
Two Folding Constructions
499(8)
Robert Orndorff
Variations on a Theorem of Haga
507(12)
Emma Frigerio
Precise Division of Rectangular Paper into an Odd Number of Equal Parts without Tools: An Origamics Exercise
519(12)
Kazuo Haga
The Speed of Origami Constructions Versus Other Construction Tools
531(12)
Eulalia Tramuns
A Note on Operations of Spherical Origami Construction
543(10)
Toshikazu Kawasaki
Origami Alignments and Constructions in the Hyperbolic Plane
553(22)
Roger C. Alperin
A Combinatorial Definition of 1D Flat-Folding
575(10)
Hidefumi Kawasaki
Stamp Foldings with a Given Mountain-Valley Assignment
585(14)
Ryuhei Uehara
Flat Vertex Fold Sequences
599(10)
Thomas C. Hull
Eric Chang
Circle Packing for Origami Design Is Hard
609(18)
Erik D. Demaine
Sandor P. Fekete
Robert J. Lang
Contributors 627
Patsy Wang-Iverson is Vice President for Special Projects at the Gabriella and Paul Rosenbaum Foundation. Introduced to origami as a child by her mother, her personal interest in origami merged in recent years with her work in helping to improve students' interest in and success with mathematics. She co-organized, with Eileen Tan and Benjamin Tan, the 2010 Fifth International Meeting on Origami in Science, Mathematics and Education (5OSME) plus a Folding Convention (PLUS!) at the Singapore Management University in Singapore. Robert J. Lang has been an avid student of origami for some forty years and is now recognized as one of the world's leading masters of the art. He is one of the pioneers of the cross-disciplinary marriage of origami with mathematics and organized the 2006 Fourth International Meeting on Origami in Science, Mathematics, and Education at Caltech. He has consulted on applications of origami to medical devices, air-bag design, and space telescopes, is the author or co-author of twelve books and numerous articles on origami and lectures widely on the connections between origami, mathematics, science, and technology.Mark Yim is a professor of mechanical engineering at the University of Pennsylvania. Previously, he was a Principal Scientist at the Palo Alto Research Center (formerly Xerox PARC). His group studies modular self-reconfigurable robots and has demonstrated robots that can transform into different shapes, jump, ride tricycles, climb stairs, poles and fences, manipulate objects and reassemble themselves. Collaborative work with researchers at Harvard, MIT and Berkeley include robotic self-folding origami. He has authored over 100 journal and conference papers and over 40 patents on topics ranging from robotics and videogame feedback devices to education and robotic performance art.