Table of Contents

Foreword by Arthur L. Loeb Preface Introduction: Basic properties of the sphere I. The regular spherical models The spherical hexahedron or cube General instructions for making models The spherical octahedron The spherical tetrahedron The spherical icosahedron and dodecahedron The polyhedral kaleidoscope Summary II. The semiregular spherical models The spherical cuboctahedron The spherical icosidodecahedron Spherical triangles as characteristic triangles The five truncated regular spherical models The rhombic spherical models The rhombitruncated spherical models The snub forms as a spherical models The spherical duals Summary III. Variations Regular and semiregular variations Star-faced spherical models IV. Geodesic domes The simplest geodesic domes Geodesic domes derived from the icosahedron General instructions for making geodesic models An alternative method of approaching geodesic segmentation Introduction to geodesic symbolism and classification Geodesic models derived from the dodecahedron An alternative for geodesic segmentation of the dodecahedron A second alternative for geodesic segmentation of the icosahedron An alternative for geodesic segmentation of the snub dodecahedron A third alternative for geodesic segmentation of the icosahedron Final comments V. Miscellaneous models "Honeycomb models, edge models, and nolids" An introduction to the notion of polyhedral density Edge models of stellated forms Some final comments about geodesic domes Epilogue Appendix References List of models