Max Planck Institute for Chemical Physics of Solids - Library Catalog

Shaping space exploring polyhedra in nature, art, and the geometrical imagination Marjorie Senechal (ed.) with George Fleck and Stan Sherer

Contributor(s): Material type: TextTextLanguage: English Publisher: New York Heidelberg [u.a.] Springer 2013Description: X, 341 S. Ill. 21 cmContent type:
  • Text
Media type:
  • ohne Hilfsmittel zu benutzen
Carrier type:
  • Band
ISBN:
  • 0387927131
  • 9780387927138
Subject(s): Additional physical formats: No title; Erscheint auch als: Shaping SpaceDDC classification:
  • 516.156 23
LOC classification:
  • TA660.P73
Other classification:
  • SK 380
  • *52-06
  • 52B15
  • 00A66
  • 00A09
  • 51M20
  • 82D25
  • 52B10
  • 31.08
  • 31.50
Online resources:
Contents:
Introduction to the Polyhedron Kingdom Marjorie SenechalSix Recipes for Making Polyhedra / Marion Walter, Jean Pedersen, MagnusWenninger, Doris Schattschneider, Arthur L. Loeb, Eric Demaine, Martin Demaine, and Vi Hart
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
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 and Istvan Hargittai
Form, Function, and Functioning George Fleck
The Polyhedron Kingdom Tomorrow Marjorie Senechal
Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu
Duality of Polyhedra Banko Grünbaum and 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 with Peter Ash, Ethan Bolker, and Henry Crapo
Uniform Polyhedra from Diophantine Equations Barry Monson
Torus Decompositions of Regular Polytopes in 4-space Thomas F. Banchoff
Tensegrities and Global Rigidity Robert Connelly
Ten Problems in Geometry Günter Ziegler and Moritz Schmitt.
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  • 1
  • Potenzieller Alleinbesitz Niedersachsen
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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
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Introduction to the Polyhedron Kingdom Marjorie SenechalSix Recipes for Making Polyhedra / Marion Walter, Jean Pedersen, MagnusWenninger, Doris Schattschneider, Arthur L. Loeb, Eric Demaine, Martin Demaine, and Vi Hart

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

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 and Istvan Hargittai

Form, Function, and Functioning George Fleck

The Polyhedron Kingdom Tomorrow Marjorie Senechal

Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu

Duality of Polyhedra Banko Grünbaum and 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 with Peter Ash, Ethan Bolker, and Henry Crapo

Uniform Polyhedra from Diophantine Equations Barry Monson

Torus Decompositions of Regular Polytopes in 4-space Thomas F. Banchoff

Tensegrities and Global Rigidity Robert Connelly

Ten Problems in Geometry Günter Ziegler and Moritz Schmitt.

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

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