Shaping space exploring polyhedra in nature, art, and the geometrical imagination edited by Marjorie Senechal ; with George Fleck and Stan Sherer

Format:

Book

Contributor:

Senechal, Marjorie

Fleck, George M.

Sherer, Stan

Language:

English

Subjects (All):

Polyhedra.

polyhedra.

Physical Description:

1 online resource

Edition:

2nd edition

Place of Publication:

New York London Springer 2012

Summary:

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

Contents:

First Steps Introduction to the Polyhedron Kingdom Marjorie Senechal Six Recipes for Making Polyhedra Marion Walter, Jean Pedersen, Magnus Wenninger, Doris Schattschneider, Arthur L. Loeb Regular and Semiregular Polyhedra H.S.M. Coxeter Milestones in the History of Polyhedra Joseph Malkevitch Polyhedra: Surfaces or Solids? Arthur L. Loeb Dürer's Problem Joseph O'Rourke Polyhedra in Nature and Art Exploring the Polyhedron Kingdom Marjorie Senechal Spatial Perception and Creativity Janos Baracs Goldberg Polyhedra George Hart Polyhedra and Crystal Structures Chung Chieh Polyhedral Molecular Geometries Magdolna Hargittai, Istvan Hargittai Form, Function, and Functioning George Fleck Polyhedra in the Geometrical Imagination The Polyhedron Kingdom Tomorrow Marjorie Senechal Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu Duality of Polyhedra Branko Grünbaum, G.C. Shephard Combinatorial Prototiles Egon Schulte Polyhedra Analogues of the Platonic Solids Jörg M. Wills Convex Polyhedra, Dirichlet Tessellations, and Spider Webs Walter Whiteley, Peter F. Ash, Ethan Bolker, Henry Crapo Uniform Polyhedra from Diophantine Equations Barry Monson Torus Decompostions of Regular Polytopes in 4-space Thomas F. Banchoff Tensegrities and Global Rigidity Robert Connelly Ten Problems in Geometry Moritz W. Schmitt, Günter M. Ziegler

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Shaping space.

ISBN:

9780387927145

038792714X

OCLC:

831417207

Access Restriction:

Restricted for use by site license