Strange Attractors: Creating Patterns in Chaos by Julien C. Sprott Converted to PDF by Robert Coldwell 8/1/2000
[email protected] Contents Why This Book Is for You 4 Chapter 1: Order and Chaos 1.1 Predictability and Uncertainty 1.2 Bucks and Bugs 1.3 The Butterfly Effect 1.4 The Computer Artist 6 6 8 14 17 Chapter 2: Wiggly Lines 2.1 More Knobs to Twiddle 2.2 Randomness and Pseudorandomness 2.3 What’s in a Name? 2.4 The Computer Search 2.5 Wiggles on Wiggles 2.6 Making Music 25 25 26 28 30 40 48 Chapter 3: Pieces of Planes 3.1 Quadratic Map in Two Dimensions 3.2 The Butterfly Effect Revisited 3.3 Searching the Plane 3.4 The Fractal Dimension 3.5 Higher-Order Disorder 3.6 Strange Attractor Planets 3.7 Designer Plaids 3.8 Strange Attractors that Don’t 3.9 A New Dimension in Sound 50 50 54 56 74 80 107 125 132 142 Chapter 4: Attractors of Depth 4.1 Projections 4.2 Shadows 4.3 Bands 4.4 Colors 4.5 Characters 4.6 Anaglyphs 4.7 Stereo Pairs | Stereo Pairs 4.8 Slices 147 147 171 191 208 211 216 222 241 Chapter 5: The Fourth Dimension 5.1 Hyperspace 5.2 Projections 5.3 Other Display Techniques 5.4 Writing on the Wall 5.5 Murals and Movies 5.6 Search and Destroy 259 259 263 288 315 317 318 Chapter 6: Fields and Flows 6.1 Beam Me up Scotty! 6.2 Profe