The Pattern Book: Fractals, Art, and NatureWorld Scientific, 1995 - 427 من الصفحات 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.) |
المحتوى
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 |
Nevada Sets | 233 |
Julia Iteration z z + c | 246 |
Stripes | 260 |
An Octahedral Fractal | 273 |
TriHadamards | 288 |
Fractal Limit | 290 |
A Y Hexomino Tiling | 297 |
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 |
A Multiple Decomposition Mapping | 228 |
2D Feigenbaum | 311 |
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 |
425 | |
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عبارات ومصطلحات مألوفة
A. K. Dewdney algebraic algorithm artists attractor axis Beauty behavior bifurcation biomorphs black and white Book of Kells bounded set C. A. Pickover calculated cells cellular automata Chaos chaotic circle color complex number complex plane Computer Graphics contour coordinates created curve Described designs displayed divergent points Dover drawing dynamical systems equations example Figure 1 shows Fractal Geometry Fractal Images Springer-Verlag fractions function gasket Geometry of Nature hexomino I. D. Entwistle initial integer iteration itermax Julia set level set Level Set Method M. C. Escher magnification Mandelbrot set Math mathematical method mosaic ornaments parameter pattern showing Peitgen Penrose tiling pixel plotted polygons polynomial prime produce random recursion References region represent result rotation rule Saupe Science of Fractal screen Sea Horse Valley self-similar sequence sflake shapes shown sinh(z space spiral square structure symmetry three-dimensional triangle variable vertical visual