Geometric Origami
Geometric Origami

Author: Faye Goldman

Publisher: Simon and Schuster

Published: 2014-04-01

Total Pages: 170

ISBN-13: 1626861188

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Geometric Origami is a sophisticated origami kit for advanced origami artists. Shape up with this mind-blowing origami set that includes patterns inspired by the exquisite artwork of Heinz Strobl’s Snapology Project. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don’t worry—there are even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises. Gain a whole new perspective on geometry and the world of origami. Great fun for the entire family—or for your local geometry professor. Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.

Geometric Folding Algorithms
Geometric Folding Algorithms

Author: Erik D. Demaine

Publisher: Cambridge University Press

Published: 2007-07-16

Total Pages: 388

ISBN-13: 1107394090

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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.

The Complete Book of Origami Polyhedra
The Complete Book of Origami Polyhedra

Author: Tomoko Fuse

Publisher: Tuttle Publishing

Published: 2021-10-12

Total Pages: 101

ISBN-13: 1462922333

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Learn to fold incredible geometric origami models from "The Queen of Modular Origami!" In this book, Tomoko Fuse--Japan's most famous living origami artist--shows you how to create amazing polyhedral models using the techniques of modular origami (where many paper sheets are folded then locked together without glue or tape). Make 64 intriguing modular models, including: Stackable Modules--The perfect starting point for novices, these simple constructions result in stunning three-dimensional forms 3-D Stars--Dazzling decorative starbursts that look great on a Christmas tree, on your mantle--or even in an art gallery Manifold Modulars--"Inception-like" models in which individual modular constructions themselves become modules within a larger piece Cubes and Boxes--Perfect for gift giving--and there is no finer teacher for these than renowned origami box specialist Tomoko Fuse And many more! *Recommended for experienced folders and up*

Introduction to Computational Origami
Introduction to Computational Origami

Author: Ryuhei Uehara

Publisher: Springer Nature

Published: 2020-06-29

Total Pages: 227

ISBN-13: 9811544700

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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.

Geometric Origami
Geometric Origami

Author: Michael G. LaFosse

Publisher: Tuttle Publishing

Published: 2014-11-25

Total Pages: 151

ISBN-13: 1462915787

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This impressive origami ebook contains everything you need to create beautiful, geometric origami sculptures. Art and math intertwine in exciting and complex new ways in Geometric Origami Kit. World renowned origami artists Michael G. LaFosse and Richard L. Alexander bring you this paper craft ebook where folding a piece of paper creates a new and wondrous origami object. In Geometric Origami, the initial folds are easily created, but once the basic building blocks are ready, the intricate combining of these pieces form new geometric origami sculptures that interlock into interchangeable origami puzzles. Ideal for demonstrating the sophistication and wonder of geometry, they can also be great conversation starting decorations for the home or office. This ebook and downloadable material provide the beginning folder with a series of fun, modular origami projects that represent a wide variety of subjects and techniques. This origami ebook includes: Full-color 64-page book Step-by-step instructions and easy-to-follow diagrams Downloadable material At a glance, Geometric Origami may seem too difficult to attempt, but once the methods are broken down and explained they are quite simple and can be completed by children and or beginning origami students. The intricate, multi-paper origami sculptures will put your paper folding skills on a whole new level and are excellent for use in the classroom, for art, math or geometry investigations. Origami projects include: Compass Star Aster Lightning Bolt Octahedron Butterfly Ball Picture Cube Modular Crane Sonobe Module and Cube Magic Rose Cube

Origami Tessellations
Origami Tessellations

Author: Eric Gjerde

Publisher: CRC Press

Published: 2008-12-18

Total Pages: 256

ISBN-13: 1000713156

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Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

Ornamental Origami
Ornamental Origami

Author: Meenakshi Mukerji

Publisher: CRC Press

Published: 2020-03-27

Total Pages: 154

ISBN-13: 1439871086

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This book is a great resource for people who enjoy polyhedra, symmetry, geometry, mathematics and origami. The types of models presented are similar in nature to the models in Mukerji's Marvelous Modular Origami, but some of the chapters are more advanced and all of the designs are new. The reader can learn about polyhedra while making these models and is left with the ability to design one's own models. Step-by-step folding instructions for over 40 models are presented. Although the book is for intermediate folders, beginners are encouraged to try because origami basics are explained. The diagrams are easy to follow and each model is accompanied by breathtaking finished model photographs.

Origametry
Origametry

Author: Thomas C. Hull

Publisher: Cambridge University Press

Published: 2020-10-08

Total Pages: 343

ISBN-13: 1108478727

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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.

Project Origami
Project Origami

Author: Thomas Hull

Publisher: CRC Press

Published: 2012-12-21

Total Pages: 365

ISBN-13: 1466567910

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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.