The Pattern Book: Fractals, Art, and Nature

Front Cover
World Scientific, 1995 - Computers - 427 pages
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This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)
 

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Contents

Evolution of the Solar and Planetary Vortices
3
Trajectories of a Neural Network Quantizer in Rhythm Space
18
Broccoli Minaret
28
RNA Structure Based on Prime Number Sequence
42
Goldbachs Comet
55
3DCubes
60
The Reversible GreenbergHastings Cellular Automaton
74
Locked Links
87
A Multiple Decomposition Mapping
228
Nevada Sets
233
Julia Iteration z z2 + c
246
Stripes 260
256
An Octahedral Fractal
273
TriHadamards
288
Fractal Limit A Fractal Pattern Emulating M C Escher
290
Inflation Rules 3
304

An Iteration Map
103
Voronoi Fractal
116
Modified Logistic Map in the Plane
120
An Asymmetric Sierpinski Carpet
135
Mappings from Recursion of the Function
151
Multiple Decomposition
155
Unrolling the Mandelbrot Set
169
Embellished Lissajous Figures
183
Swirl
197
11
199
Mappings of the Transcendental Function
215
Bistable Tiling Patterns with ConvergingDiverging Arrows
317
Vivid Depth Percepts from Simple GrayLevel Line Patterns
319
Hyperbolic Tilings
339
Rotation
353
Patterns Composed with Squares
362
An Informal Tesselation of Cats
375
Horoscope
388
Ambiguous Art
391
Art Deco Design 1
407
Index
425
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