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Full Description
From the tiny twisted biological molecules to the gargantuan curling arms of many galaxies, the physical world contains a startling repetition of spiral patterns. Today, researchers have a keen interest in identifying, measuring, and defining these patterns in scientific terms. Spirals play an important role in the growth processes of many biological forms and organisms. Also, through time, humans have imitated spiral motifs in their art forms, and invented new and unusual spirals which have no counterparts in the natural world. Therefore, one goal of this multiauthored book is to stress the conspicuous role that spirals play in science, and to show the reader how to create such spirals using a computer. Another goal is to show how simple mathematical formulas can reveal magnificent shapes and images. This interdisciplinary book revolves around a common theme, spiral symmetry, and is intended for scientists, humanists, and interested laypeople.
Contents
The spiral in nature, myth and mathematics, J. Kappraff; does the golden spiral exist, and if not, where is its centre, A.L. Loeb and W. Varney; pythagorian spirals, E.J. Eckert; dynamical spirals, A.V. Holden; random spirals, W.A. Seitz and D.J. Klein; spiral galaxies, B.G. Elmegreen; spiral-based self-similar sets, K. Wicks; symmetry and spirals - an artist's personal statement, R. Newman; spiral structures in Julia sets and related sets, M. Michelitsch and O.E. Rossler; electromagnetic theory of chiral media, A. Lakhtakia; isometric systems in isotropic space - an artist's personal statement on spiral and other map projections, A. Denes; on the origins of spiral symmetry in biology, J.V. Jean; and others.
