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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Does the Golden Spiral Exist and if not Where is its Center?
An Artists Personal Statement
The Evolution of a ThreeArmed Spiral in the Julia Set
Broken Symmetry and the Formation of Spiral Patterns
Oscillations Waves and Spirals in Chemical Systems
Determination of Spiral Symmetry in Plants and Polymers
Electromagnetic Theory for Chiral Media
On the Origins of Spiral Symmetry in Plants
The Form Function and Synthesis of the Molluscan Shell
An Artists Personal
angle appear arms atoms become bifurcation bond called cells chemical chirality circle circular close concentration conformation consider continuous corresponding curves described determined direction divergence angle dynamic effect equal equations example excitable existing Field fixed flow follows function geometry give given gnomon golden growth images increasing initial interaction interesting Julia Set leaves length lone pair mathematical measure mechanism molluscs move nature observed obtained occur orbitals organic origin oscillations pair parameters path curves patterns periodic phyllotactic phyllotaxis physical picture plane plants position possible present primordia projective reaction represent respect result rotation sequence shape shells shown in Fig shows side similar solution space spiral square structures surface symmetry theory transformation triangle University values vortex vortices walks waves York
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Human Symmetry Perception and Its Computational Analysis
Christopher W. Tyler
Sin vista previa disponible - 2002