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