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Full Product Details

Author:   Marjorie Senechal ,  George M. Fleck ,  Stan Sherer
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Dimensions:   Width: 17.80cm , Height: 2.50cm , Length: 25.40cm
Weight:   8.842kg
ISBN:  

9780387927138

ISBN 10:   0387927131
Pages:   341
Publication Date:   22 March 2013
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

"Reviews of the first edition: ""There is an engaging freshness abouot this book. Shaping Space not onlyprovides an excellent introduction to the subject, but it will suggest new connections to more experienced readers."" -Cyril Stanley Smith, Professor Emeritus, Massachusetts Institute of Technology ""There is a goldmine of information here for students (and their teachers)intersted in expanding their views of geometry, architecture, molecular science,history, biology, art, and how scientists thinkabout their thinking. As aneducational specialist, I am constantly searching for material that allowslearners to bridge the gap between what they know about a subject and what the experts know."" -Ann Nevin, Ph. D., Educational Psychologist, University of Vermont ""As the table of contents shows, several prominent authors have contributed articles on polyhedra and their relations to abstract and applied mathematics and various other disciplines. Many interesting figures and photographs support these articles and the idea of the book. The book encourages mathematicians and nonmathematicians to think about the world of polyhedra and to try to create new objects and theories. This book bridges the gap between research mathematicians and the general public."" -J. M. Wills for Mathematical Reviews"

Reviews of the first edition: There is an engaging freshness abouot this book. Shaping Space not onlyprovides an excellent introduction to the subject, but it will suggest new connections to more experienced readers. -Cyril Stanley Smith, Professor Emeritus, Massachusetts Institute of Technology There is a goldmine of information here for students (and their teachers)intersted in expanding their views of geometry, architecture, molecular science,history, biology, art, and how scientists thinkabout their thinking. As aneducational specialist, I am constantly searching for material that allowslearners to bridge the gap between what they know about a subject and what the experts know. -Ann Nevin, Ph. D., Educational Psychologist, University of Vermont As the table of contents shows, several prominent authors have contributed articles on polyhedra and their relations to abstract and applied mathematics and various other disciplines. Many interesting figures and photographs support these articles and the idea of the book. The book encourages mathematicians and nonmathematicians to think about the world of polyhedra and to try to create new objects and theories. This book bridges the gap between research mathematicians and the general public. -J. M. Wills for Mathematical Reviews

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)

Author Information

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.

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