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Origami Polyhedra Design by John Montroll

Title Origami Polyhedra Design
Author John Montroll
Publisher A K Peters/CRC Press
Release 2009-10-26
Category Mathematics
Total Pages 300
ISBN 9781568814582
Language English, Spanish, and French
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Book Summary:

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, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

Origami Polyhedra Design by John Montroll

Title Origami Polyhedra Design
Author John Montroll
Publisher CRC Press
Release 2009-10-26
Category Mathematics
Total Pages 300
ISBN 143987106X
Language English, Spanish, and French
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Book Summary:

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, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

Title A Constellation of Origami Polyhedra
Author John Montroll
Publisher Courier Corporation
Release 2004
Category Crafts & Hobbies
Total Pages 120
ISBN 9780486439587
Language English, Spanish, and French
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Book Summary:

From the simple Triangular Diamond and the Tower to the more advanced Cuboctahedron and the magnificent Stella Octangular, 30 multifaceted marvels will not only challenge devotees of the ancient Japanese art of paperfolding but will also appeal to students and others interested in math and geometry.

Title The Complete Book of Origami Polyhedra
Author Tomoko Fuse
Publisher
Release 2021-04-06
Category
Total Pages 96
ISBN 9784805315941
Language English, Spanish, and French
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Book Summary:

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*

Title A Plethora of Polyhedra in Origami
Author John Montroll
Publisher Courier Corporation
Release 2002-01-01
Category Crafts & Hobbies
Total Pages 120
ISBN 9780486422718
Language English, Spanish, and French
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Book Summary:

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.

Classic Polyhedra Origami by John Montroll

Title Classic Polyhedra Origami
Author John Montroll
Publisher
Release 2010
Category Crafts & Hobbies
Total Pages 120
ISBN 9780486479507
Language English, Spanish, and French
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Book Summary:

Presents step-by-step instructions showing paperfolders how to create thirty-three variations on the geometric forms known as polyhedra.

Geometric Folding Algorithms by Erik D. Demaine

Title Geometric Folding Algorithms
Author Erik D. Demaine
Publisher Cambridge University Press
Release 2008-08-21
Category Computers
Total Pages 496
ISBN 9780521715225
Language English, Spanish, and French
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Book Summary:

How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht Dürer in the early 1500s, but have only recently been studied in the mathematical literature. Over the past decade, there has been a surge of interest in these problems, with applications ranging from robotics to protein folding. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane that can sign a name or trace any other algebraic curve. One remarkable algorithm shows you can fold any straight-line drawing on paper so that the complete drawing can be cut out with one straight scissors cut. Aimed primarily at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.

Exquisite Modular Origami II by Meenakshi Mukerji

Title Exquisite Modular Origami II
Author Meenakshi Mukerji
Publisher CreateSpace
Release 2015-10-15
Category
Total Pages 102
ISBN 9781517500948
Language English, Spanish, and French
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Book Summary:

This is a step by step how-to book for making modular origami models based on polyhedra. It seems like there are myriad modular origami designs out there these days; anything that joins goes. However, in this book, Meenakshi Mukerji's sixth, she still has much more to offer, with the designs presented some of her best yet. After a successful Exquisite Modular Origami, this second volume is a natural follow up. Handpicked by the author, the models are not only beautiful, but have been subjected to rigorous design criteria such as sturdiness of the locking mechanism, easy starting paper proportions, mostly squares, and absence of inserts or separate joining units. The aesthetic appeal lies in clean well defined lines. The designs are all-new and like before, works of three new, very creative guest artists have been included as well. In grayscale, the book is practically a bargain because it is as effective as folding from a color book. Color photos of most designs are on the cover for your viewing pleasure. Just when you think you are running out of satisfying modular origami to fold, here now you have dozens more exciting new ones to enjoy. Do visit the author's popular website www.origamee.net for more ideas and color photos.

Origami 3 by Thomas Hull

Title Origami 3
Author Thomas Hull
Publisher CRC Press
Release 2002-07-18
Category Mathematics
Total Pages 352
ISBN 1439870047
Language English, Spanish, and French
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Book Summary:

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.

Ornamental Origami by Meenakshi Mukerji

Title Ornamental Origami
Author Meenakshi Mukerji
Publisher A K Peters/CRC Press
Release 2008-11-21
Category Mathematics
Total Pages 154
ISBN 9781568814452
Language English, Spanish, and French
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Book Summary:

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.

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