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Origami Polyhedra Design

Origami Polyhedra Design
Author: John Montroll
Publisher: CRC Press
Total Pages: 304
Release: 2009-10-26
Genre: Mathematics
ISBN: 143987106X

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This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube,


The Complete Book of Origami Polyhedra

The Complete Book of Origami Polyhedra
Author: Tomoko Fuse
Publisher: Tuttle Publishing
Total Pages: 101
Release: 2021-10-12
Genre: Crafts & Hobbies
ISBN: 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*


A Plethora of Polyhedra in Origami

A Plethora of Polyhedra in Origami
Author: John Montroll
Publisher: Courier Corporation
Total Pages: 124
Release: 2002-01-01
Genre: Crafts & Hobbies
ISBN: 9780486422718

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Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.


Multimodular Origami Polyhedra

Multimodular Origami Polyhedra
Author: Rona Gurkewitz
Publisher: Courier Corporation
Total Pages: 80
Release: 2012-03-08
Genre: Crafts & Hobbies
ISBN: 0486136779

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Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Detailed instructions, clear diagrams.


Geometric Folding Algorithms

Geometric Folding Algorithms
Author: Erik D. Demaine
Publisher: Cambridge University Press
Total Pages: 388
Release: 2007-07-16
Genre: Computers
ISBN: 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.


Modular Origami Polyhedra

Modular Origami Polyhedra
Author: Lewis Simon
Publisher: Courier Corporation
Total Pages: 64
Release: 2012-03-08
Genre: Crafts & Hobbies
ISBN: 0486137848

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Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!


Beginner's Book of Modular Origami Polyhedra

Beginner's Book of Modular Origami Polyhedra
Author: Rona Gurkewitz
Publisher: Courier Corporation
Total Pages: 66
Release: 2012-03-07
Genre: Crafts & Hobbies
ISBN: 0486132188

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This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models.


Mind-Blowing Modular Origami

Mind-Blowing Modular Origami
Author: Byriah Loper
Publisher: Tuttle Publishing
Total Pages: 96
Release: 2016-10-11
Genre: Crafts & Hobbies
ISBN: 1462917712

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Modular origami is the latest craze in paper folding! These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins—to ornate flower-like spheres. Each piece of paper is held by the tension of the other papers—demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong! Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village. A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf!


Active Origami

Active Origami
Author: Edwin A. Peraza Hernandez
Publisher: Springer
Total Pages: 464
Release: 2018-07-12
Genre: Technology & Engineering
ISBN: 3319918664

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Origami structures have the ability to be easily fabricated from planar forms, enable the deployment of large structures from small volumes, and are potentially reconfigurable. These characteristics have led to an increased interest in theoretical and computational origami among engineers from across the world. In this book, the principles of origami, active materials, and solid mechanics are combined to present a full theory for origami structures. The focus is on origami structures morphed via active material actuation and formed from sheets of finite thickness. The detailed theoretical derivations and examples make this an ideal book for engineers and advanced students who aim to use origami principles to develop new applications in their field.


Ornamental Origami

Ornamental Origami
Author: Meenakshi Mukerji
Publisher: CRC Press
Total Pages: 154
Release: 2020-03-27
Genre: Mathematics
ISBN: 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.