Fivefold Symmetry

By: Istvan Hargittai

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Hardcover | 1 March 1992

At a Glance

Hardcover
580 Pages

Dimensions(cm)
22.86 x 15.88 x 3.18

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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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Non-Fiction Mathematics Algebra Science Science in General Booktopia Publisher Services World Scientific Publishing

Contributors
Preface
Fivefold Symmetry: A Lesser Symmetry	p. 1
Fivefold Symmetry in Mathematics, Physics, Chemistry, Biology, and Beyond	p. 11
The Relationship Between Mathematics and Mysticism of the Golden Mean Through History	p. 33
800-Year-Old Pentagonal Tiling From Maragha, Iran, and the New Varieties of Aperiodic Tiling it Inspired	p. 67
Plane Projections of Regular Polytopes with Fivefold Symmetries	p. 87
Continuous Transformations of Non-Periodic Tilings and Space-Fillings	p. 97
Fivefold Symmetry in Hyperbolic Crystallography	p. 129
The Pentasnow Gasket and its Fractal Dimension	p. 141
Pentagonal Chaos	p. 151
How to Inscribe a Dodecahedron in a Sphere	p. 167
Complete Symmetry of Figures with Fivefold Symmetry Axes	p. 171
Icosahedral Morphology	p. 177
The Discovery of Space Frames with Fivefold Symmetry	p. 205
The New Zome Primer	p. 221
A Unique Fivefold Symmetrical Building: A Calvinist Church in Szeged, Hungary	p. 235
Fivefold Symmetry and (Basket) Weaving in Various Cultures	p. 245
Pentagon and Decagon Designs in Islamic Art	p. 263
An Islamic Pentagonal Seal (from Scientific Manuscripts of the Geometry of Design)	p. 283
Notes on Some Pentagonal "Mysteries" in Egyptian and Christian Iconography	p. 307
The Icosahedral Design of the Great Pyramid	p. 333
A Mystic History of Fivefold Symmetry in Japan	p. 361
Fivefold Symmetry in the Literature	p. 395
The Allegorical Method and Systems of Fives--A Beginning Discussion Exemplified in Beowulf	p. 407
Certain Quinary Aspects of the Hindu Civilization	p. 423
On the Shape of Five in Early Hindu Thought	p. 445
Albrecht Durer and the Regular Pentagon	p. 465
Fivefold Symmetry in the Graphic Art of M.C. Escher	p. 489
Nomothetical Modelling of Spiral Symmetry in Biology	p. 505
Hawaiian Flowers with Fivefold Symmetry	p. 529
Table of Contents provided by Blackwell. All Rights Reserved.

Fivefold Symmetry

At a Glance

Hardcover

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