000 04667nam a22004575i 4500
001 978-0-387-92714-5
003 DE-He213
005 20140220082758.0
007 cr nn 008mamaa
008 130322s2013 xxu| s |||| 0|eng d
020 _a9780387927145
_9978-0-387-92714-5
024 7 _a10.1007/978-0-387-92714-5
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aSenechal, Marjorie.
_eeditor.
245 1 0 _aShaping Space
_h[electronic resource] :
_bExploring Polyhedra in Nature, Art, and the Geometrical Imagination /
_cedited by Marjorie Senechal.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aX, 341 p. 406 illus., 32 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- 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.
520 _aMolecules, 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.
650 0 _aMathematics.
650 0 _aDesign and construction.
650 0 _aGeometry.
650 0 _aCrystallography.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aCrystallography.
650 2 4 _aDesign, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387927138
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-92714-5
912 _aZDB-2-SMA
999 _c94200
_d94200