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Origami Polyhedra Design

John Montroll

$69.99

Paperback

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English
A K Peters
26 October 2009
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.
By:  
Imprint:   A K Peters
Country of Publication:   United States
Dimensions:   Height: 280mm,  Width: 210mm,  Spine: 18mm
Weight:   326g
ISBN:   9781568814582
ISBN 10:   1568814585
Series:   AK Peters/CRC Recreational Mathematics Series
Pages:   300
Publication Date:  
Audience:   College/higher education ,  General/trade ,  Primary ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active
Part I: Designing Origami Polyhedra. Polyhedra Overview. Design Factors and Techniques. Math and Design. Design Method Examples. Polygons. Part II: Platonic and Related Polyhedra. Tetrahedron Design. Cube Design. Octahedron Design. More Platonic Solids Design. Sunken Platonic Solids Design. Part III: Dipyramids and Dimpled Dipyramids. Dipyramid Design. Dimpled Dipyramid Design

John Montroll, St. Anselm's Abbey School, Washington, D.C., USA

Reviews for Origami Polyhedra Design

Origami Polyhedra Design is a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... -Thomas Hagedorn, MAA Reviews, April 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. -D. V. Feldman, CHOICE Magazine, August 2010


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