Spherical Models,9780486409214

Spherical Models

by
ISBN13: 9780486409214
ISBN10: 048640921X
Format: Paperback
Pub. Date: 2012-06-13
Publisher(s): Dover Publications
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Summary

Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. Discusses tessellation, or tiling, and the relationship of polyhedra to geodesic domes and directions for building models of domes. 1979 edition.

Table of Contents

Foreword ix
Arthur L. Loeb
Preface xi
Introduction: Basic properties of the sphere 1(3)
I. The regular spherical models
The spherical hexahedron or cube
4(3)
General instructions for making models
7(1)
The spherical octahedron
7(2)
The spherical tetrahedron
9(3)
The spherical icosahedron and dodecahedron
12(4)
The polyhedral kaleidoscope
16(2)
Summary
18(6)
II. The semiregular spherical models
The spherical cuboctahedron
24(1)
The spherical icosidodecahedron
24(4)
Spherical triangles as characteristic triangles
28(6)
The five truncated regular spherical models
34(5)
The rhombic spherical models
39(5)
The rhombitruncated spherical models
44(4)
The snub forms as spherical models
48(3)
The spherical duals
51(3)
Summary
54(1)
III. Variations
Regular and semiregular variations
55(3)
Star-faced spherical models
58(22)
IV. Geodesic domes
The simplest geodesic domes
80(2)
Geodesic domes derived from the icosahedron
82(10)
General instructions for making geodesic models
92(1)
An alternative method of approaching geodesic segmentation
92(6)
Introduction to geodesic symbolism and classification
98(2)
Geodesic models derived from the dodecahedron
100(8)
An alternative for geodesic segmentation of the dodecahedron
108(2)
A second alternative for geodesic segmentation of the icosahedron
110(4)
An alternative for geodesic segmentation of the snub dodecahedron
114(6)
A third alternative for geodesic segmentation of the icosahedron
120(2)
Final comments
122(3)
V. Miscellaneous models
Honeycomb models, edge models, and nolids
125(7)
An introduction to the notion of polyhedral density
132(3)
Edge models of stellated forms
135(2)
Some final comments about geodesic domes
137(7)
Epilogue 144(1)
Appendix 145(16)
References 161(2)
List of models 163

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