Modular Origami Polyhedra, Revised and Enlarged Edition

Lewis Simon,Bennett Arnstein,Rona Gurkewitz

ISBN 10: 0486404765 / ISBN 13: 9780486404769

Published by Dover Publications, 1999

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Synopsis:

Step-by-step instructions and clearly detailed diagrams enable origamists to build over 35 different polyhedra from origami units. Fascinating models range from relatively simple modular cubes to more advanced two-piece modules, a gyroscope, and a 14-sided cuboctahedron. Subjects will challenge devotees of the craft, and can demonstrate geometric principles in the classroom.

From the Author: Corrections & comments
The picture of Magic Cube #9 on p. 58 is not correct, and is a duplicate of the picture of Magic Cube #8. The correct picture of Magic Cube #9 will eventually appear on Rona Gurkewitz's web page.On p. 50, fifth paragraph from the top, the last sentence should read "Every module is part of two 6-sided rings and also part of one 4-sided ring at the eight polar modules or one 5-sided ring at all other modules between the poles."An interesting spinning toy can be made from the Jim Plank 60-degree module on p. 43, which takes advantage of the fact that the 60-degree approximation is slightly less than 60 degrees. The toy is a double 6-sided pyramid and is shaped like a lens, or flying saucer. Six modules meet at the north pole & south pole, and four modules meet at each of the six corners around the equator. This was discovered by Joe Hamamoto of Gardena, CA, who also discovered that the icosahedron made from 30 60-degree modules can be made using 10 different colors, each color forming a 3-module band around the icosahedron.Francis Ow has an interesting 60-degree module called a "Y-module" on his web page. It is folded from a square and exposes both sides of the paper, which creates a colorful pattern when folded from paper with different colors on each side. The structure of the module is identical to the the exact 60-degree module folded from a half-square on p. 44.The wreath on the front cover is made from the cube on p. 25, using 14 cubes. The minimum number of cubes that can make a wreath is 12. The 12-cube wreath is stiffer than the 14-cube wreath.Other shapes can be linked to form a chain or a wreath. A wreath can be made from 10 linked truncated octahedrons, described in the second paragraph from the top on p. 50.

Bibliographic Details

Title: Modular Origami Polyhedra, Revised and ...
Publisher: Dover Publications
Publication Date: 1999
Binding: paperback
Condition: Very Good