Spiral Symmetry

Portada
World Scientific, 1992 - 449 páginas
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.
 

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Contenido

Does the Golden Spiral Exist and if not Where is its Center?
49
Pythagorean Spirals
63
Holden
80
Spiral Galaxies
95
An Artists Personal Statement
123
The Evolution of a ThreeArmed Spiral in the Julia Set
135
Broken Symmetry and the Formation of Spiral Patterns
187
Oscillations Waves and Spirals in Chemical Systems
221
Determination of Spiral Symmetry in Plants and Polymers
251
Electromagnetic Theory for Chiral Media
281
Sunflower Quasicrystallography
295
On the Origins of Spiral Symmetry in Plants
323
Green Spirals
353
The Form Function and Synthesis of the Molluscan Shell
369
An Artists Personal
389
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