Spherical Models [Lingua inglese] - Brossura

Wenninger, Magnus

Brossura

ISBN 10: 048640921X ISBN 13: 9780486409214

Casa editrice: Dover Pubns, 2012

Riassunto

Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spherical models from five regular solids, using only circular bands of paper, a ruler and a compass. Also discussed is tessellation, or tiling, on a sphere and how to make spherical models of all the semiregular solids. The volume concludes with a discussion of the relationship of polyhedral to geodesic domes and directions for building models of the domes.
Abundantly illustrated with photographs, drawings, and computer graphics of attractive geometrical models, this volume will appeal to a wide range of readers—from students and teachers of mathematics, art, design, architecture and engineering, to recreational mathematics enthusiasts and builders of geodesic domes.

Su questo libro

L'autore:

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Contenuti:

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

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2012
• ISBN 10: 048640921X
• ISBN 13: 9780486409214
• Rilegatura: Copertina flessibile
• Numero di pagine: 180