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FIVEFOLD SYMMETRY

edited by István Hargittai (Hungarian Acad. Sci.)

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.


Contents:

  • Fivefold Symmetry in Mathematics, Physics, Chemistry and Beyond (J Brandmüller)
  • 800 Year Old Pentagonal Tiling from Maragha, Iran, and the New Varieties of Aperiodic Tiling it Inspired (E Makovicky)
  • Fivefold Symmetry in Hyperbolic Crystallography (D Dunham)
  • Pentagonal Chaos (C A Pickover)
  • The Discovery of Space Frames with Fivefold Symmetry (S Baer)
  • The Icosahedral Design of the Great Pyramid (H F Verheyen)
  • A Mystic History of Fivefold Symmetry in Japan (K Miyazaki)
  • Albrecht Dürer and the Regular Pentagon (D W Crowe)
  • Fivefold Symmetry in the Graphic Art of M C Escher (R A Dunlap)
  • Hawaiian Flowers with Fivefold Symmetry (M Hargittai)
  • The Relationship between Mathematics and Mysticism of the Golden Mean Through History (J Kappraff)
  • An Islamic Pentagonal Seal (W K Chorbachi & A L Loeb)
  • and other papers


Readership: Scientists, humanists, artists and laypersons.

580pp Pub. date: Mar 1992
ISBN 981-02-0600-3 US$91 / £63


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 5 September 2008