Platonic & Archimedean Solids

by Sutton, Daud

• ISBN13: 9780802713865
• ISBN10: 0802713866
• Format: Hardcover
• Copyright: 2002-04-01
• Publisher: Walker Books

Summary

WhereasSacred Geometryintroduced readers to two-dimensional forms,Platonic & Archimedean Solidspresents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen formsfrom the cube to the octahedron and icosidodecahedronthat are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. For anyone interested in design, architecture, and mathematics, this will be a delight. Platonic & Archimedean Solidspresents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen formsfrom the cube to the octahedron and icosidodecahedronthat are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. "The fascinating, informative Wooden Books series blends ancient wisdom and modern knowledge. The books . . . will stimulate more thinking and subsequent 'Eureka' moments than a dozen novels laced with narrative innovation and postmodern stylings."The Atlanta Journal-Constitution

Table of Contents

Introduction	1	(1)
The Platonic Solids	2	(2)
The Tetrahedron	4	(2)
The Octahedron	6	(2)
The Icosahedron	8	(2)
The Cube	10	(2)
The Dodecahedron	12	(2)
A Short Proof	14	(2)
All Things in Pairs	16	(2)
Around the Globe	18	(2)
Round and Round	20	(2)
The Golden Ratio	22	(2)
Polyhedra Within Polyhedra	24	(2)
Compound Polyhedra	26	(2)
The Kepler Polyhedra	28	(2)
The Poinsot Polyhedra	30	(2)
The Archimedean Solids	32	(2)
Five Truncations	34	(2)
The Cuboctahedron	36	(2)
A Cunning Twist	38	(2)
The Icosidodecahedron	40	(2)
Four Explosions	42	(2)
Turning	44	(2)
The Archimedean Duals	46	(2)
More Explosions	48	(2)
Flat-Packed Polyhedra	50	(2)
Archimedean Symmetries	52	(1)
Three-Dimensional Tessellations	53	(1)
Each Embracing Every Other	54	(1)
Expansions and Formulas	55	(1)
Data Table	56	(2)
Further Reading	58