Shaping space : exploring polyhedra in nature, art, and the geometrical imagination
Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space-Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most f...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Shaping Space, Texte imprimé, 9780387928814 • Shaping space, exploring polyhedra in nature, art, and the geometrical imagination, Marjorie Senechal, editor, New York, Springer, 2013, 1 vol. (X-341 p.), 978-0-387-92713-8 • Shaping Space, Texte imprimé, 9781493939480 |
جدول المحتويات:
- Preface
- I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart
- 3 Regular and Semiregular Polyhedra. H. S. M. Coxeter
- 4 Milestones in the History of Polyhedra. Joseph Malkevitch
- 5 Polyhedra: Surfaces or Solids? Arthur Loeb
- 6 Dürer's Problem. Joseph O'Rourke
- II Polyhedra in Nature and Art
- 7 Exploring the Polyhedron Kingdom. Marjorie Senechal
- 8 Spatial Perception and Creativity. Janos Baracs
- 9 Goldberg Polyhedra. George Hart
- 10 Polyhedra and Crystal Structures. Chung Chieh
- 11 Polyhedral Molecular Geometries. Magdolna Hargittai and Istvan Hargittai
- 12 Form, Function, and Functioning. George Fleck
- III Polyhedra in the Geometrical Imagination
- 13 The Polyhedron Kingdom Tomorrow. Marjorie Senechal
- 14 Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu
- 15 Duality of Polyhedra. Banko Grünbaum and G. C. Shephard
- 16 Combinatorial Prototiles. Egon Schulte
- 17 Polyhedra Analogues of the Platonic Solids. Jörg M. Wills
- 18 Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. Walter Whiteley with Peter Ash, Ethan Bolker, and Henry Crapo
- 19 Uniform Polyhedra from Diophantine Equations. Barry Monson
- 20 Torus Decompositions of Regular Polytopes in 4-space. Thomas F. Banchoff
- 21 Tensegrities and Global Rigidity. Robert Connelly
- 22 Ten Problems in Geometry. Günter Ziegler and Moritz Schmitt
- Notes and References
- Sources, Acknowledgments, and Contributors
- Index.