Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination
Editat de Marjorie Senechalen Limba Engleză Paperback – 23 aug 2016
Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists.
The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb.
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 413.51 lei 38-45 zile | |
| Springer – 23 aug 2016 | 413.51 lei 38-45 zile | |
| Hardback (1) | 403.10 lei 3-5 săpt. | |
| Springer – 22 mar 2013 | 403.10 lei 3-5 săpt. |
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Specificații
ISBN-13: 9781493939480
ISBN-10: 1493939483
Pagini: 341
Ilustrații: X, 341 p.
Dimensiuni: 178 x 254 x 22 mm
Ediția:Softcover reprint of the original 1st ed. 2013
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1493939483
Pagini: 341
Ilustrații: X, 341 p.
Dimensiuni: 178 x 254 x 22 mm
Ediția:Softcover reprint of the original 1st ed. 2013
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
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Cuprins
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.
Recenzii
From the reviews:
“It consists of a collection of essays by different authors about many different aspects related to polyhedra. … The book is amply illustrated and aiming at a public from 9 till 99. It will be of interest to a very broad public. Form a mathematical side children might be interested in geometrical puzzles and advanced mathematicians may be interested in solving the open problems, and the whole range in between will probably find something interesting of their own taste.” (A. Bultheel, The European Mathematical Society, June, 2013)
“It consists of a collection of essays by different authors about many different aspects related to polyhedra. … The book is amply illustrated and aiming at a public from 9 till 99. It will be of interest to a very broad public. Form a mathematical side children might be interested in geometrical puzzles and advanced mathematicians may be interested in solving the open problems, and the whole range in between will probably find something interesting of their own taste.” (A. Bultheel, The European Mathematical Society, June, 2013)
Notă biografică
Marjorie Senechal, a world leader in mathematical crystallography, is Louise Wolff Kahn Professor Emerita in Mathematics and History of Science and Technology at Smith College, where she taught from 1966 to 2007. In 2007, she received the College's Honored Professor Award.
Professor Senechal is currently Senior Fellow of the Kahn Liberal Arts Institute at Smith and editor-in-chief of The Mathematical Intelligencer, a cultural journal for the international community of mathematical scientists. Her areas of mathematics research are discrete geometry, tiling theory, and mathematical crystallography. In addition to numerous articles, she is the author or editor of ten books, including Quasicrystals and Geometry, Long Life to Your Children! (a portrait of High Albania), and American Silk, 1830 - 1930, entrepreneurs and artifacts.
Professor Senechal is currently Senior Fellow of the Kahn Liberal Arts Institute at Smith and editor-in-chief of The Mathematical Intelligencer, a cultural journal for the international community of mathematical scientists. Her areas of mathematics research are discrete geometry, tiling theory, and mathematical crystallography. In addition to numerous articles, she is the author or editor of ten books, including Quasicrystals and Geometry, Long Life to Your Children! (a portrait of High Albania), and American Silk, 1830 - 1930, entrepreneurs and artifacts.
Textul de pe ultima copertă
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 fascinating branches of mathematics.
Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists.
The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb.
Contributing Authors: P. Ash, T. F. Banchoff, J. Baracs, E. Bolker, C. Chieh, R. Connelly, H.S.M. Coxeter, H. Crapo, E. Demaine, M. Demaine, G. Fleck, B. Grünbaum, I. Hargittai, M. Hargittai, G. Hart, V. Hart, A. Loeb, J. Malkevitch, B. Monson, J. O'Rourke, J. Pedersen, D. Schattschneider, M. Schmitt, E. Schulte, M. Senechal, G.C. Shephard, I. Streinu, M. Walter, M. Wenninger, W. Whiteley, J. M. Wills, and G. M. Ziegler.
Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists.
The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb.
Contributing Authors: P. Ash, T. F. Banchoff, J. Baracs, E. Bolker, C. Chieh, R. Connelly, H.S.M. Coxeter, H. Crapo, E. Demaine, M. Demaine, G. Fleck, B. Grünbaum, I. Hargittai, M. Hargittai, G. Hart, V. Hart, A. Loeb, J. Malkevitch, B. Monson, J. O'Rourke, J. Pedersen, D. Schattschneider, M. Schmitt, E. Schulte, M. Senechal, G.C. Shephard, I. Streinu, M. Walter, M. Wenninger, W. Whiteley, J. M. Wills, and G. M. Ziegler.
Caracteristici
Makes the geometric world of polyhedra accessible to professionals, students, and laypeople Dedicated to the memory of the legendary geometer H. S. M. Coxeter and the many-faceted design scientist Arthur L. Loeb Not to be missed book for schools, public libraries, and coffee table sections of bookstores Many contributions by outstanding authors make this book intriguing Includes supplementary material: sn.pub/extras