Fivefold Symmetry

Front Cover
István Hargittai
World Scientific, 1992 - Mathematics - 561 pages
1 Review
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.
 

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See also http://www.sciencemag.org/cgi/reprint/sci;318/5855/1383a.pdf

Contents

Fivefold Symmetry in Mathematics Physics Chemistry
11
The Relationship Between Mathematics and Mysticism of
33
800YearOld Pentagonal Tiling From Maragha Iran and
67
Plane Projections of Regular Polytopes with Fivefold Symmetries
87
Fivefold Symmetry in Hyperbolic Crystallography
129
The Pentasnow Gasket and its Fractal Dimension
141
How to Inscribe a Dodecahedron in a Sphere
167
The Discovery of Space Frames with Fivefold Symmetry
205
Notes on Some Pentagonal Mysteries in Egyptian
307
The Icosahedral Design of the Great Pyramid
333
A Mystic History of Fivefold Symmetry in Japan
361
Fivefold Symmetry in the Literature
395
Certain Quinary Aspects of the Hindu Civilization
423
On the Shape of Five in Early Hindu Thought
445
Albrecht Durer and the Regular Pentagon
465
Fivefold Symmetry in the Graphic Art of M C Escher
489

The New Zome Primer
221
A Calvinist Church
235
Pentagon and Decagon Designs in Islamic Art
263
An Islamic Pentagonal Seal from Scientific Manuscripts of
283
Nomothetical Modelling of Spiral Symmetry in Biology
505
Hawaiian Flowers with Fivefold Symmetry
529
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About the author (1992)

Istvan Hargittai is Professor of Chemistry and head of the George A. Olah PhD School of Chemistry and Chemical Engineering at the Budapest University of Technology and Economics and research professor at E otv os University. He is a member of the Hungarian Academy of Sciences, foreign member of the
Norwegian Academy of Science and Letters, and member of the Academia Europaea (London). He holds a PhD degree from E otv os University, D.Sc. degree from the Hungarian Academy of Sciences, and honorary doctorates from Moscow State University, the University of North Carolina, and the Russian Academy
of Sciences. He has lectured in some 30 countries and taught at several universities in the United States. He has published extensively on structural chemistry and on symmetry-related topics. His books include the Candid Science series of his collected interviews with famous scientists, The Road to
Stockholm about the Nobel Prize, and Our Lives, which includes a considerable amount of autobiographical material. He and his fellow professor wife live in Budapest. Their grown children, both PhDs, live in the United States.

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