skip to content
Shaping space : exploring polyhedra in nature, art, and the geometrical imagination Preview this item
ClosePreview this item
Checking...

Shaping space : exploring polyhedra in nature, art, and the geometrical imagination

Author: Marjorie Senechal; George Fleck; Stan Sherer
Publisher: New York ; London : Springer, 2013.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Marjorie Senechal; George Fleck; Stan Sherer
ISBN: 9780387927138 0387927131 9780387927145 038792714X
OCLC Number: 809936500
Description: x, 341 pages : illustrations (some color) ; 26 cm
Contents: Introduction to the Polyhedron Kingdom / Marjorie Senechal --
Six 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.
Responsibility: Marjorie Senechal, editor ; with George Fleck and Stan Sherer.

Abstract:

Here is an exuberant survey of polyhedra that also offers a hands-on introduction to one of the oldest and most fascinating branches of mathematics. It presents a treasury of ideas, history, and  Read more...

Reviews

Editorial reviews

Publisher Synopsis

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 Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/809936500> # Shaping space : exploring polyhedra in nature, art, and the geometrical imagination
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "809936500" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/London> ; # London
   schema:about <http://id.worldcat.org/fast/940864> ; # Geometry
   schema:about <http://dewey.info/class/516.156/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/natur> ; # Natur
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/geometrische_figur> ; # Geometrische Figur
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/kunst> ; # Kunst
   schema:about <http://id.worldcat.org/fast/884652> ; # Crystallography
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/angewandte_mathematik> ; # Angewandte Mathematik
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/raumvorstellung> ; # Raumvorstellung
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/polyeder> ; # Polyeder
   schema:about <http://experiment.worldcat.org/entity/work/data/1167704432#Topic/raumwahrnehmung> ; # Raumwahrnehmung
   schema:about <http://id.worldcat.org/fast/1070511> ; # Polyhedra
   schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/91453860> ; # George Fleck
   schema:contributor <http://viaf.org/viaf/33643498> ; # Stan Sherer
   schema:datePublished "2013" ;
   schema:description "Introduction to the Polyhedron Kingdom / Marjorie Senechal -- Six 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."@en ;
   schema:description "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."@en ;
   schema:editor <http://viaf.org/viaf/61606648> ; # Marjorie Senechal
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1167704432> ;
   schema:inLanguage "en" ;
   schema:name "Shaping space : exploring polyhedra in nature, art, and the geometrical imagination"@en ;
   schema:productID "809936500" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/809936500#PublicationEvent/new_york_london_springer_2013> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1167704432#Agent/springer> ; # Springer
   schema:workExample <http://worldcat.org/isbn/9780387927145> ;
   schema:workExample <http://worldcat.org/isbn/9780387927138> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB290946> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/809936500> ;
    .


Related Entities

<http://dbpedia.org/resource/London> # London
    a schema:Place ;
   schema:name "London" ;
    .

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167704432#Topic/angewandte_mathematik> # Angewandte Mathematik
    a schema:Intangible ;
   schema:name "Angewandte Mathematik"@en ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
   schema:name "Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1070511> # Polyhedra
    a schema:Intangible ;
   schema:name "Polyhedra"@en ;
    .

<http://id.worldcat.org/fast/884652> # Crystallography
    a schema:Intangible ;
   schema:name "Crystallography"@en ;
    .

<http://id.worldcat.org/fast/940864> # Geometry
    a schema:Intangible ;
   schema:name "Geometry"@en ;
    .

<http://viaf.org/viaf/33643498> # Stan Sherer
    a schema:Person ;
   schema:familyName "Sherer" ;
   schema:givenName "Stan" ;
   schema:name "Stan Sherer" ;
    .

<http://viaf.org/viaf/61606648> # Marjorie Senechal
    a schema:Person ;
   schema:familyName "Senechal" ;
   schema:givenName "Marjorie" ;
   schema:name "Marjorie Senechal" ;
    .

<http://viaf.org/viaf/91453860> # George Fleck
    a schema:Person ;
   schema:familyName "Fleck" ;
   schema:givenName "George" ;
   schema:name "George Fleck" ;
    .

<http://worldcat.org/isbn/9780387927138>
    a schema:ProductModel ;
   schema:isbn "0387927131" ;
   schema:isbn "9780387927138" ;
    .

<http://worldcat.org/isbn/9780387927145>
    a schema:ProductModel ;
   schema:isbn "038792714X" ;
   schema:isbn "9780387927145" ;
    .

<http://www.worldcat.org/title/-/oclc/809936500>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/809936500> ; # Shaping space : exploring polyhedra in nature, art, and the geometrical imagination
   schema:dateModified "2017-12-25" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.