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Making Geometry

Exploring Three-Dimensional Forms

Paperback
November 2012
9780863159145
More details
  • Publisher
    Floris Books
  • Published
    15th November 2012
  • ISBN 9780863159145
  • Language English
  • Pages 136 pp.
$24.95

Following on from his successful Drawing Geometry, Jon Allen explores the creation of the many-sided three-dimensional forms known as the Platonic and Archimedean solids. Based on patterns of equally spaced points on a sphere, these polyhedra have constituted the fundamentals of geometric exploration for millennia.

Many professionals find that they need to know how to build three-dimensional shapes accurately and understand the principles behind them. This unique book shows the reader how to make models of all the Platonic and Archimedean solids, as well as several other polyhedra and stellated forms. It provides systematic instructions for constructing the three-dimensional forms and shows how to draw the geometry of the paperfold nets accurately.

Beginners and experienced artists and designers alike will find this book a source of practical guidance, delight, and inspiration that will amply repay the careful attention needed to construct the models.

144 color photographs, 120 b/w drawings

“The instructions and illustrations are very clear and could be used in the classroom.”

— Network Review

“This beautifully presented book...gives practical instructions on how to make the five Platonic regular solids and thirteen semi-regular Archimedean solids.”

— David Heaf, Science Group of the Anthroposophical Society in Great Britain

C O N T E N T S:

Introduction

A Family Tree of Regular and Semi-regular Convex Polyhedra
Circles and Spherepoints
Constructing Small 3D Stick Models
Paperfolds for the Five Platonic Solids
Paperfolds for the Thirteen Archimedean Solids
Paperfolds for Other Polyhedra

Appendices:
Some Mathematical Terms
Plain Nets for All Platonic and Archimedean Solids
Data Table for the Platonic and Archimedean Solids
Recommended Reading and Resources

Index

Jon Allen

Jon Allen has been a practicing architect for twenty-five years. He has worked closely with Keith Critchlow, a world authority on geometry, and has developed a particular interest in the application of geometry in architectural design. He lives in London.