An Introduction To Computational Origami

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Introduction to Computational Origami

Ryuhei Uehara
Introduction to Computational Origami Book PDF

Author : Ryuhei Uehara
Publisher : Springer Nature
Page : 227 pages
File Size : 43,5 Mb
Release : 2020-06-29
Category : Computers
ISBN : 9789811544705

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Introduction to Computational Origami by Ryuhei Uehara Pdf

This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.

An Introduction to Computational Origami

Tetsuo Ida
An Introduction to Computational Origami Book PDF

Author : Tetsuo Ida
Publisher : Springer
Page : 217 pages
File Size : 40,6 Mb
Release : 2020-10-16
Category : Computers
ISBN : 3319591886

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An Introduction to Computational Origami by Tetsuo Ida Pdf

In this book, origami is treated as a set of basic geometrical objects that are represented and manipulated symbolically and graphically by computers. Focusing on how classical and modern geometrical problems are solved by means of origami, the book explains the methods not only with mathematical rigor but also by appealing to our scientific intuition, combining mathematical formulas and graphical images to do so. In turn, it discusses the verification of origami using computer software and symbolic computation tools. The binary code for the origami software, called Eos and created by the author, is also provided.

Origami^{3}

Thomas Hull
Origami 3 Book PDF

Author : Thomas Hull
Publisher : CRC Press
Page : 363 pages
File Size : 46,6 Mb
Release : 2002-07-18
Category : Mathematics
ISBN : 9781439870044

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Origami^{3} by Thomas Hull Pdf

The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA. They cover topics ranging from the mathematics of origami using polygon constructions and geometric projections, applications, and science of origami, and the use of origami in education.

Geometric Folding Algorithms

Erik D. Demaine,Joseph O'Rourke
Geometric Folding Algorithms Book PDF

Author : Erik D. Demaine,Joseph O'Rourke
Publisher : Cambridge University Press
Page : 388 pages
File Size : 49,5 Mb
Release : 2007-07-16
Category : Computers
ISBN : 9781107394094

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Geometric Folding Algorithms by Erik D. Demaine,Joseph O'Rourke Pdf

Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.

Origami 5

Patsy Wang-Iverson,Robert J. Lang,Mark YIM
Origami 5 Book PDF

Author : Patsy Wang-Iverson,Robert J. Lang,Mark YIM
Publisher : CRC Press
Page : 662 pages
File Size : 43,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439873502

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Origami 5 by Patsy Wang-Iverson,Robert J. Lang,Mark YIM Pdf

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 13-17, 2010, Singapore Management University) fol

Origami${}^6$: II. Technology, Art, Education

Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson
Origami 6 II Technology Art Education Book PDF

Author : Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson
Publisher : American Mathematical Soc.
Page : 376 pages
File Size : 46,5 Mb
Release : 2015-12-18
Category : Origami
ISBN : 9781470418762

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Origami${}^6$: II. Technology, Art, Education by Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson Pdf

is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 2 focuses on the connections of origami to education and more applied areas of science: engineering, physics, architecture, industrial design, and other artistic fields that go well beyond the usual folded paper.

Project Origami

Thomas Hull
Project Origami Book PDF

Author : Thomas Hull
Publisher : CRC Press
Page : 365 pages
File Size : 44,5 Mb
Release : 2012-12-21
Category : Mathematics
ISBN : 9781466567917

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Project Origami by Thomas Hull Pdf

Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.

Mathematical Knowledge Management

Michael Kohlhase
Mathematical Knowledge Management Book PDF

Author : Michael Kohlhase
Publisher : Springer
Page : 408 pages
File Size : 46,9 Mb
Release : 2006-01-20
Category : Computers
ISBN : 9783540314318

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Mathematical Knowledge Management by Michael Kohlhase Pdf

This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Mathematical Knowledge Management. The 26 revised full papers presented were carefully selected during two rounds of reviewing and improvement from 38 submissions. The papers cover mathematical knowledge management. Topics range from foundations and the representational and document-structure aspects of mathematical knowledge, over process questions like authoring, migration, and consistency management by automated theorem proving to applications in e-learning and case studies.

Origametry

Thomas C. Hull
Origametry Book PDF

Author : Thomas C. Hull
Publisher : Cambridge University Press
Page : 343 pages
File Size : 43,7 Mb
Release : 2020-10-08
Category : Art
ISBN : 9781108478724

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Origametry by Thomas C. Hull Pdf

Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.

Twists, Tilings, and Tessellations

Robert J. Lang
Twists Tilings and Tessellations Book PDF

Author : Robert J. Lang
Publisher : CRC Press
Page : 756 pages
File Size : 44,9 Mb
Release : 2017-12-22
Category : Mathematics
ISBN : 9781439873588

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Twists, Tilings, and Tessellations by Robert J. Lang Pdf

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Discrete and Computational Geometry

Satyan L. Devadoss,Joseph O'Rourke
Discrete and Computational Geometry Book PDF

Author : Satyan L. Devadoss,Joseph O'Rourke
Publisher : Princeton University Press
Page : 270 pages
File Size : 42,7 Mb
Release : 2011-04-11
Category : Mathematics
ISBN : 9781400838981

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Discrete and Computational Geometry by Satyan L. Devadoss,Joseph O'Rourke Pdf

An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only).

Origami 4

Robert J. Lang
Origami 4 Book PDF

Author : Robert J. Lang
Publisher : CRC Press
Page : 572 pages
File Size : 53,5 Mb
Release : 2009-08-05
Category : Mathematics
ISBN : 9781439871041

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Origami 4 by Robert J. Lang Pdf

The connections between origami, mathematics, science, technology, and education have been a topic of considerable interest now for several decades. While many individuals have happened upon discrete connections among these fields during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other through a series of conferences exploring the links between origami and "the outside world." The Fourth International Meeting on Origami in Science, Mathematics, and Education (4OSME), held in September, 2006, at the California Institute of Technology in Pasadena, California, brought together an unprecedented number of researchers presenting on topics ranging from mathematics, to technology, to educational uses of origami, to fine art, and to computer programs for the design of origami. Selected papers based on talks presented at that conference make up the book you hold in your hands.

How to Fold It

Joseph O’Rourke
How to Fold It Book PDF

Author : Joseph O’Rourke
Publisher : Cambridge University Press
Page : 191 pages
File Size : 45,8 Mb
Release : 2011-04-25
Category : Mathematics
ISBN : 9781139498548

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How to Fold It by Joseph O’Rourke Pdf

What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Algorithms and Data Structures

Faith Ellen,Antonina Kolokolova,Jörg-Rüdiger Sack
Algorithms and Data Structures Book PDF

Author : Faith Ellen,Antonina Kolokolova,Jörg-Rüdiger Sack
Publisher : Springer
Page : 613 pages
File Size : 41,6 Mb
Release : 2017-07-04
Category : Computers
ISBN : 9783319621272

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Algorithms and Data Structures by Faith Ellen,Antonina Kolokolova,Jörg-Rüdiger Sack Pdf

This book constitutes the refereed proceedings of the 15th Algorithms and Data Structures Symposium, WADS 2017, held in St. John's, NL, Canada, in July/August 2017. The 49 full papers presented together with 3 abstracts of invited talks were carefully reviewed and selected from 109 submissions. They present original research on the theory and application of algorithms and data structures in many areas, including combinatorics, computational geometry, databases, graphics, and parallel and distributed computing. The WADS Symposium, which alternates with the Scandinavian Symposium and Workshops on Algorithm Theory, SWAT, is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. Papers presenting original research on the theory and application of algorithms and data structures

Intelligent Computer Mathematics

James H. Davenport,William M. Farmer,Florian Rabe,Josef Urban
Intelligent Computer Mathematics Book PDF

Author : James H. Davenport,William M. Farmer,Florian Rabe,Josef Urban
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 50,6 Mb
Release : 2011-07-18
Category : Business & Economics
ISBN : 9783642226724

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Intelligent Computer Mathematics by James H. Davenport,William M. Farmer,Florian Rabe,Josef Urban Pdf

This book constitutes the joint refereed proceedings of three international events, namely the 18th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2011, the 10th International Conference on Mathematical Knowledge Management, MKM 2011, and a new track on Systems and Projects descriptions that span both the Calculemus and MKM topics, all held in Bertinoro, Italy, in July 2011. All 51 submissions passed through a rigorous review process. A total of 15 papers were submitted to Calculemus, of which 9 were accepted. Systems and Projects track 2011 there have been 12 papers selected out of 14 submissions while MKM 2011 received 22 submissions, of which 9 were accepted for presentation and publication. The events focused on the use of AI techniques within symbolic computation and the application of symbolic computation to AI problem solving; the combination of computer algebra systems and automated deduction systems; and mathematical knowledge management, respectively.