Screen LibraryFivefold symmetry /
Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been incre...
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| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 1992. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/1359#t=toc |
| Summary: |
Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been increased awareness of fivefold symmetry in all domains of human interest ever since. The present book brings together authors and ideas on a common theme from mathematics, the sciences, design, and anthropology to history, literature, and the arts. Its 29 chapters are an offering by scientists and humanists from 13 countries to a broad readership of professionals and laypersons about fivefold symmetry and the areas that are being bridged by this unique concept. |
| Carrier Form: | 1 online resource (xvi,561pages) : illustrations (some color) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789814439497 |
| CLC: | N0 |
| Contents: | Fivefold symmetry: a lesser symmetry / J. Rosen -- Fivefold symmetry in mathematics, physics, chemistry, biology, and beyond / J. Brandmuller -- The relationship between mathematics and mysticism of the golden mean through history / J. Kappraff -- 800-year-old pentagonal tiling from Maragha, Iran, and the new varieties of aperiodic tiling it inspired / E. Makovicky -- Plane projections of regular polytopes with fivefold symmetries / G. C. Shephard -- Continuous transformations of non-periodic tilings and space-fillings / H. Lalvani -- Fivefold symmetry in hyperbolic crystallography / D. Dunham -- The Pentasnow gasket and its fractal dimension / R. Dixon -- Pentagonal chaos / C. A. Pickover -- How to inscribe a dodecahedron in a sphere / J. C. Fisher and N. Fuller -- Complete symmetry of figures with fivefold symmetry axes / I. S. Zheludev -- Icosahedral morphology / G. Gevay -- The discovery of space frames with fivefold symmetry / S. Baer -- The new zome primer / D. Booth -- A unique fivefold symmetrical building: a Calvinist church in Szeged, Hungary / S. Berczi and L. Papp -- Fivefold symmetry and (basket) weaving in various cultures / P. Gerdes -- Pentagon and decagon designs in Islamic art / G. M. Fleurent -- An Islamic pentagonal seal (from scientific manuscripts of the geometry of design) / W. K. Chorbachi and A. L. Loeb -- Notes on some pentagonal "mysteries" in Egyptian and Christian iconography / L. de Freitas -- The icosahedral design of the Great Pyramid / H. F. Verheyen -- A mystic history of fivefold symmetry in Japan / K. Miyazaki -- Fivefold symmetry in the literature / N. Trinajstic -- The allegorical method and systems of fives - a beginning discussion exemplified in Beowulf / L. A. Cummings -- Certain quinary aspects of the Hindu civilization / A. Lakhtakia -- On the shape of five in early Hindu thought / H. Lalvani -- Albrecht Durer and the regular pentagon / D. W. Crowe -- Fivefold symmetry in the graphic art of M. C. Escher / R. A. Dunlap -- Nomothetical modelling of spiral symmetry in biology / R. V. Jean -- Hawaiian flowers with fivefold symmetry / M. Hargittai. |