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Symmetry 2 : unifying human understanding /

Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various bran...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Hargittai, Istv�an
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Pergamon Press, �1989.
Colección:International series in modern applied mathematics and computer science ; v. 18.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface / I. Hargittai
  • Symmetry revisited / M. Senechal
  • Symmetry at the foundations of science / J. Rosen
  • Symmetry and chaos / A.A. Chernikov [and others]
  • The magic of the pentangle; dynamic symmetry from Merlin to Penrose / A.L. Loeb
  • Symmetry, groupoids and higher-dimensional analogues / R. Brown
  • Trisecting an orthoscheme / H.S.M. Coxeter
  • Duality and the Descartes deficiency / P. Hilton and J. Pedersen
  • Extending the binomial coefficients to preserve symmetry and pattern / P. Hilton and J. Pedersen
  • Symmetry in the simplest case : the real line / S. Marcus
  • Delicate symmetry / J. Pach
  • Halley maps for a trigonometric and rational function / C.A. Pickover
  • A class of symmetric polytopes / A. Hill and D.G. Larman
  • Arrangements of minimal variance : multidimensional scaling in the symmetrical case / L. Telegdi.
  • Tilings by regular polygons-II : a catalog of tilings / D. Chavey
  • Symmetry and polyhedral stellation-Ia / G.M. Fleurent
  • Symmetry and polyhedral stellation-Ib / G.M. Fleurent
  • Symmetry and polyhedral stellation-II / P.W. Messer and M.J. Wenninger
  • The complete set of Jitterbug transformers and the analysis of their motion / H.F. Verheyen
  • A geometrical analogue of the phase transformation of crystals / G. Fejes T�oth and L. Fejes T�oth
  • Computers and group-theoretical methods for studying structural phase transitions / G.M. Checin
  • Structural theory of space-time and intrapoint symmetry / A.V. Malikov
  • Visual and hidden symmetry in geometry / A.T. Fomenko
  • Mathematics and beauty-VII : tesselation automata derived from a single defect / C.A. Pickover.
  • Interpretation of so-called icosahedral and decagonal quasicrystals of alloys showing apparent icosahedral symmetry elements as twins of an 820-atom cubic crystal / L. Pauling
  • Local pseudosymmetry in simple liquids / J.L. Finney
  • Topological aspects of benzenoids and coronoids, including "snowflakes" and "laceflowers" / S.J. Cyvin, J. Brunvoll and B.N. Cyvin
  • A set theoretic approach to the symmetry analysis of hexadecahedrane / E.R. Kouyoumdjian
  • Carbon and its nets / A.T. Balaban
  • C [B superscript, 60 subscript] buckminsterfullerene, other fullerenes and icospiral shell / H.W. Kroto
  • Asymmetry through the eyes of a(another) chemist / M. �Acs
  • Chemical kinetics and thermodynamics : a history of their relationship / S. Lengyel
  • Symmetries and the notion of elementarity in high energy physics / K. Gavroglu.
  • Symmetry-breaking pattern formation in semiconductor physics : spatio-temporal current structures during avalanche breakdown / J. Parisi [and others]
  • The perceptual value of symmetry / P. Locher and C. Nodine
  • Mind's eye / A.H. Lowrey
  • Non-Euclidean geometries and algorithms of living bodies / S.V. Petukhov
  • Spiral phyllotaxis / R. Dixon
  • A symmetry-oriented mathematical model of classical counterpoint and related neurophysiological investigations by depth EEG / G. Mazzola [and others]
  • Square spirals, dimensionality and biopolymers / J.F. Liebman [and others]
  • The golden section in the measurement theory / A.P. Stakhov
  • Buckling patterns of shells and spherical honeycomb structures / T. Tarnai
  • Symmetry in free markets / B.P. Fabricand
  • Symmetries in music teaching / M. Apagyi
  • Uncertainty principle and symmetry in metaphors / L. Bencze
  • Modern symmetry / A. Hill.