PATTERN BOOK

FRACTAL,ART & NATURE

By: PICKOVER CLIFFORD A

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Hardcover | 9 June 1995

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Hardcover
466 Pages

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22.86 x 15.24 x 2.54

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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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The Pattern Book: Fractals, Art, and Nature
Evolution of the Solar and Planetary Vortices	p. 3
Rotating Spiral Waves in the Belousov-Zhabotinskii Reaction	p. 4
Patterns of Protein Conformations	p. 6
Blind Watchmaker Biomorphs	p. 9
Apple Tree Pattern	p. 12
Spring Tiles the Planes of Sunlight: Decussate and Tricussate Phyllotaxy in New Growth	p. 14
Trajectories of a Neural Network Quantizer in Rhythm Space	p. 18
An Internally Mechanistic Nucleon	p. 22
Wood Pattern	p. 24
Moire Pattern	p. 26
Fractal Phyllotactic Spirals: Broccoli "Minaret"	p. 28
Puppy Representation of DNA Nucleotide Sequences	p. 30
Stone Wall Pattern	p. 32
Novel Representations, Pattern, Sound	p. 36
Haeckel's Sea-Lilies	p. 38
Diffusion Limited Aggregation	p. 40
RNA Structure Based on Prime Number Sequence	p. 42
Genetic Patterns as shown by Sequence Logos	p. 44
Gaussian Fractions	p. 49
Lattice Design 1	p. 52
Goldbach's Comet	p. 55
J-Curve (OLFRAC) (14 Iterations)	p. 57
Carpet (13 Iterations)	p. 58
3D-Cubes	p. 60
The-End	p. 62
The Ikeda Attractor	p. 64
Star-NLP1-5m	p. 66
Whirlpools	p. 68
Fern-Wolf (Filicinae Lupus)	p. 70
Magic Tessaract	p. 72
The Reversible Greenberg-Hastings Cellular Automaton	p. 74
Cybernetic Rapids	p. 77
Pinwheels	p. 79
Circlefest	p. 81
XOR Size	p. 83
Trig Gem	p. 85
Locked Links	p. 87
Exponential Tunnel	p. 90
A Generalization of the Regular Tiling (4[superscript 4])	p. 93
A Pattern by Fujita Configurations	p. 96
Star Trails	p. 99
An Iteration Map	p. 103
A Self-Similar Structure Generated by a Broken-Linear Function	p. 104
Roots of Algebraic Polynomials	p. 106
Mosaics	p. 108
Pattern of Euler's Formula	p. 112
Self-Accelerating Version of Newton's Method	p. 114
Voronoi Fractal	p. 116
The Logistic Map in the Plane	p. 118
Modified Logistic Map in the Plane	p. 120
Newton's Method in the C-Plane	p. 122
Iterations with a Limited Number of Executions	p. 124
The Starry Night - Iterates of Tan(z)	p. 126
From Asymmetry to Symmetry - Iterates of Exp(z) and Exp(z[superscript 2])	p. 129
A Variation on a Curve of Mandelbrot	p. 132
An Asymmetric Sierpinski Carpet	p. 135
The "Computer Bug" as Artist - Opus 3	p. 138
The Last Word in Fractals	p. 140
Topsy-Turvy Fractal Growth	p. 142
Symmetrized Dot-Patterns and Cellular Automata	p. 144
"Carpet of Chaos": Mapping the Bilateral Symmetric z[superscript z] + c in the Complex z and c Planes	p. 147
"Spidermorphs": Mappings from Recursion of the Function [actual symbol not reproducible]	p. 151
"Fractal Turtle" and "Elephant Star": Multiple Decomposition Mappings of [actual symbol not reproducible] in the Complex Plane	p. 155
"Floral Table": A Mapping of the Function [actual symbol not reproducible] in the Complex z Plane	p. 159
"Entrapped Lepidoptera": An Alternative Mapping of a Julia Set for the Function [actual symbol not reproducible]	p. 163
Self-Mapping of Mandelbrot Sets by Preiteration	p. 166
Unrolling the Mandelbrot Set	p. 169
Parameter Space of Mandelbrot Sets from Variation of Coefficients	p. 172
Lizards	p. 176
Four-Dimensional Space Flowers	p. 178
The Dolphin Head Bifurcation Diagram	p. 180
Embellished Lissajous Figures	p. 183
Islamic Pattern	p. 194
Swirl	p. 197
Circlegraph 7.11	p. 199
Flow 2.8	p. 200
Botanical Biomorph Arising from the Iteration of [actual symbol not reproducible]	p. 201
Transient Microstructure	p. 203
Engel Curves	p. 205
"Spinning Chaos": An Inverse Mapping of the Mandelbrot Set	p. 208
"Wings of Chaos": Mappings of the Function sinh(z) + c in the Complex Plane	p. 211
"Islands Among Chaos": Mappings of the Transcendental Function cosh(z) + c in the Complex Plane	p. 215
Alternative Methods of Displaying the Behavior of the Mapping [actual symbol not reproducible]	p. 221
"Serpents and Dragons": A Mapping of [actual symbol not reproducible] in the Complex Plane	p. 225
"Star of Chaos": A Multiple Decomposition Mapping of [actual symbol not reproducible] in the Complex Plane	p. 228
Complex Branchings	p. 231
Nevada Sets	p. 233
"Handmade" Patch Quilt Generated by L-System	p. 235
Spiraling Tree/Biomorphic Cells	p. 238
Fractal Hurricane	p. 240
Intertwined	p. 242
Mandelbrot Iteration [actual symbol not reproducible]	p. 244
Julia Iteration [actual symbol not reproducible]	p. 246
Bessel Fireworks and Bessel Parallelogram	p. 248
Fractal Moon	p. 250
Isogonal Decagons	p. 251
Analytic Computer Art	p. 254
Euler's Triangle	p. 256
Euler's Crossing I and II	p. 258
Stripes	p. 260
Outer Space	p. 262
Parquet	p. 264
TESS Patterns	p. 266
Skew Squares	p. 268
Fractal Gaskets	p. 269
An Octahedral Fractal	p. 273
A Packing with Icosahedral Symmetry I	p. 276
Hard Lines, Soft Circles	p. 278
Tesspoly 3, into Tesspoly and Sectus	p. 280
Tetrahedron	p. 283
Binary Matrix Symmetry	p. 285
TriHadamards	p. 288
Fractal Limit - A Fractal Pattern Emulating M. C. Escher	p. 290
Fractal Limit - A Perspective View	p. 292
Jungle Canopy	p. 295
A "Y" Hexomino Tiling	p. 297
Beauty in Functions	p. 299
Logistic 3	p. 302
Inflation Rules 3	p. 304
Hommage a Durer	p. 307
The Center of Dewdney's Radiolarian	p. 309
2D Feigenbaum	p. 311
Biomorphic Mitosis	p. 313
Triangular Numbers and the Distribution of Primes	p. 315
Bistable Tiling Patterns with Converging/Diverging Arrows	p. 317
Vivid Depth Percepts from Simple Gray-Level Line Patterns	p. 319
Mandelbrot Set Spiral Tile Mosaics	p. 322
Evolution of Spirals in Mandelbrot and Julia Sets	p. 331
Hyperbolic Tilings	p. 339
Products of Three Harmonics	p. 342
Pascalian Cellular Automata	p. 344
Inverse Mandelbrot Art Prints	p. 347
Bio Art Prints	p. 350
Rotation	p. 353
Wallpaper from GCONTOUR Procedure	p. 354
Pattern Generated by XOR	p. 356
Representation of a Surface on the Plane	p. 358
Composition of Color Pieces	p. 360
Patterns Composed with Squares	p. 362
Eucledian Geometry using IFS	p. 365
The Galactic Virus Attack	p. 368
Sound Ornaments	p. 370
An Informal Tesselation of Cats	p. 375
Op Art 1	p. 376
Extension(s) of a Reconstructed Tamil Ring-Pattern	p. 377
Japanese Optical and Geometrical Art 1	p. 380
Greek Landscape - A Visual Diary	p. 382
Persian Designs and Motifs	p. 384
Symmetric Celtic Sycophancy	p. 386
Horoscope	p. 388
Bizarre and Ornamental Alphabets	p. 389
Ambiguous Art	p. 391
Japanese Diaper Ornaments	p. 394
Satanic Flowers	p. 396
How to Create Celtic Anthropomorphic Ornaments (Beard-Pullers)	p. 398
Clowns	p. 400
Celtic Plants Emerging from Pots	p. 402
Interactive Patterns Between Light and Matter	p. 403
Art Deco Design 1	p. 407
Periodic Pattern of Class 19	p. 409
Turtle Moon Artists' Logo and Chop Mark	p. 411
Glossary	p. 413
Index	p. 425
Table of Contents provided by Blackwell. All Rights Reserved.

PATTERN BOOK

FRACTAL,ART & NATURE

At a Glance

Hardcover

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Defective items

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