Front Cover -- CHAOS AND FRACTALS -- Copyright Page -- Preface -- Introduction -- Contents -- Part I: Geometry and Nature -- Chapter 1. Chaos game visualization of sequences -- Chapter 2. Tumor growth simulation -- Chapter 3. Computer simulation of the morphology and development of several species of seaweed using Lindenmayer systems -- Chapter 4. Generating fractals from Voronoi diagrams -- Chapter 5. Circles which kiss: a note on osculatory packing -- Chapter 6. Graphical identification of spatio-temporal chaos -- Chapter 7. Manifolds and control of chaotic systems -- Chapter 8. A vacation on Mars - an artist's journey in a computer graphics world -- Part II: Attractors -- Chapter 9. Automatic generation of strange attractors -- Chapter 10. Attractors with dueling symmetry -- Chapter 11. A new feature in Henon's map -- Chapter 12. Lyapunov exponents of the logistic map with periodic forcing -- Chapter 13. Toward a better understanding of fractality in nature -- Chapter 14. On the dynamics of real polynomials on the plane -- Chapter 15. Phase portraits for parametrically excited pendula: an exercise in multidimensional data visualisation -- Chapter 16. Self-reference and paradox in two and three dimensions -- Chapter 17. Visualizing the effects of filtering chaotic signals -- Chapter 18. Oscillating iteration paths in neural networks learning -- Chapter 19. The crying of fractal batrachion 1,489 -- Chapter 20. Evaluating pseudo-random number generators -- Part III: Cellular Automata, Gaskets, and Koch Curves -- Chapter 21. Sensitivity in cellular automata: some examples -- Chapter 22. One tub, eight blocks, twelve blinkers and other views of life -- Chapter 23. Scouts in hyperspace -- Chapter 24. Sierpinski fractals and GCDs -- Chapter 25. Complex patterns generated by next nearest neighbors cellular automata.

Chapter 26. On the congruence of binary patterns generated by modular arithmetic on a parent array -- Chapter 27. A simple gasket derived from prime numbers -- Chapter 28. Discrete approximation of the Koch curve -- Chapter 29. Visualizing Cantor cheese construction -- Chapter 30. Notes on Pascal's pyramid for personal computer users -- Chapter 31. Patterns generated by logical operators -- Part IV: Mandelbrot, Julia and Other Complex Maps -- Chapter 32. A tutorial on efficient computer graphic representations of the Mandelbrot set -- Chapter 33. Julia sets in the quaternions -- Chapter 34. Self-similar sequences and chaos from Gauss sums -- Chapter 35. Color maps generated by "trigonometric iteration loops" -- Chapter 36. A note on Halley's method -- Chapter 37. A note on some internal structures of the Mandelbrot set -- Chapter 38. The method of secants -- Chapter 39. A generalized Mandelbrot set and the role of critical points -- Chapter 40. A new scaling along the spike of the Mandelbrot set -- Chapter 41. Further insights into Halley's method -- Chapter 42. Visualizing the dynamics of the Rayleigh quotient iteration -- Chapter 43. The "burning ship" and its quasi-Julia sets -- Chapter 44. Field lines in the Mandelbrot set -- Chapter 45. A tutorial on the visualization of forward orbits associated with Siegel disks in the quadratic Julia sets -- Chapter 46. Image generation by Blaschke products in the unit disk -- Chapter 47. An investigation of fractals generated by z -> l/z-n + c -- Chapter 48. Infinite-corner-point fractal image generation by Newton's method for solving exp[-a(C+z)(C-2)]-l=0 -- Chapter 49. Chaos and elliptic curves -- Chapter 50. Newton's method for multiple roots -- Chapter 51. Warped midgets in the Mandelbrot set -- Chapter 52. Automatic generation of general quadratic map basins -- Part V: Iterated Function Systems.

Chapter 53. Some nonlinear iterated function systems -- Chapter 54. Balancing order and chaos in image generation -- Chapter 55. Estimating the spatial extent of attractors of iterated function systems -- Chapter 56. Automatic generation of iterated function systems -- Chapter 57. Modeling and rendering of nonlinear iterated function systems -- Part VI: Computer Art -- Chapter 58. Automatic parallel generation of aeolian fractals on the IBM power visualization system -- Chapter 59. Julia set art and fractals in the complex plane -- Chapter 60. Methods of displaying the behaviour of the mapping z -> z2 + u -- Chapter 61. AUTUMN - a recipe for artistic fractal images -- Chapter 62. Biomorphic mitosis -- Chapter 63. Computer art representing the behavior of the Newton-Raphson method -- Chapter 64. Systemised serendipity for producing computer art -- Chapter 65. Computer art from Newton's, Secant, and Richardson's methods -- Author index -- Subject index -- About the Editor.