| 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. |
