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**Book is in full color.**

*Part 1. Geometry and Nature*

Chaos game visualization of sequences (H. J. Jeffrey).
Tumor growth simulation (W. Düchting). Computer simulation of the
morphology and development of several species of seaweed using Lindenmayer
systems (J.D. Corbit, D.J. Garbary). Generating fractals from Voronoi diagrams
(K.W. Shirriff). Circles with kiss: a note on osculatory packing (C.A.
Pickover). Graphical identification of spatio-temporal chaos (A.V. Holden,
A.V. Panfilov). Manifolds and control of chaotic systems (H. Qammari, A.
Venkatesan). A vacation on Mars - an artist's journey in a computer graphics
world (C.A. Pickover).

*Part II. Attractors*

Automatic Generation of strange attractors (J.C. Sprott).
Attractors with dueling symmetry (C.A. Reiter). A new feature in Hénon's
map (M. Michelitsch, O.E. Rössler). Lyapunov exponents of the logistics
map with periodic forcing (M. Markus, B. Hess). Toward a better understanding
of fractality in nature (M. Klein, O.E. Rössler, J. Parisi, J. Peinke,
G. Baier, C. Khalert, J.L. Hudson). On the dynamics of real polynomials
on the plane (A.O. Lopes). Phase portraits for parametrically excited pendula:
an exercise in multidimensional data visualisation (D. Pottinger, S. Todd,
I. Rodrigues, T. Mullin, A. Skeldon). Self-reference and paradox in two
and three dimensions (P. Grim, G. Mar, M. Neiger, P. St. Denis). Visualizing
the effects of filtering chaotic signals (M.T. Rosenstein, J.J. Collins).
Oscillating iteration paths in neural networks learning (R. Rojas). The
crying of fractal batrachion 1,489 (C.A. Pickover). Evaluating pseudo-random
number generators (R.L. Bowman).

*Part III. Cellular Automata, Gaskets, and Koch Curves*

Sensitivity in cellular automata: some examples (M. Frame).
One tub, eight blocks, twelve blinkers and other views of life (J.E. Pulsifer,
C.A. Reiter). Scouts in hyperspace (S. Shepard, A. Simoson). Sierpinski
fractals and GCDs (C.A. Reiter). Complex patterns generated by next nearest
neighbors cellular automata (W. Li). On the congruence of binary patterns
generated by modular arithmetic on a parent array (A. Lakhtakia, D.E. Passoja).
A simple gasket derived from prime numbers (A. Lakhtakia). Discrete approximation
of the Koch curve (S.C. Hwang, H.S. Yang). Visualizing Cantor cheese construction
(C.A. Pickover, K. McCarty). Notes on Pascal's pyramid for personal computer
users (J. Nugent). Patterns generated by logical operators (M. Szyszkowicz).

*Part IV. Mandelbrot, Julia and Other Complex Maps*

A tutorial on efficient computer graphics representations
of the Mandelbrot set (R. Rojas). Julia sets in the quaternions (A. Norton).
Self-similar sequences and chaos from Gauss sums (A. Lakhtakia, R. Messier).
Color maps generated by "trigonometric iteration loops" (M. Michelitsch).
A note on Halley's method (R. Reeves). A note on some internal structures
of the Mandelbrot set (K. J. Hopper ). The method of secants (J.D. Jones).
A generalized Mandelbrot set and the role of critical points (M. Frame,
J. Robertson). A new scaling along the spike of the Mandelbrot set (M.
Frame, A.G. Davis Philip, A. Robocci). Further insights into Halley's method
(R. Reeves). Visualizing the dynamics of the Rayleigh quotient iteration
(C.A. Reiter). The "burning ship" and its quasi-Julia sets (M. Michelitsch,
O. E. Rössler). Field lines in Mandelbrot set (K.W. Phillip). A tutorial
on the visualization of forward orbits associated with Siegel disks in
the quadratic Julia sets (G.T. Miller). Image generation by Blaschke products
in the unit disk (H.S. Kim, H.O. Kim, S.Y. Shin). An investigation of fractals
generated by z 1/z -n + c (K.W. Shirriff). Infinite-corner-point fractal
image generation by Newton's method for solving exp[-a ( + z)( - z)] -1
= 0 (Y.B. Kim, H.S. Kim, H.O. Kim, S.Y. Shin). Chaos and elliptic curves
(S.D. Balkin, E.L. Golebiewski, C.A. Reiter). Newton's methods for multiple
roots (W.J. Gilbert). Warped midgets in the Mandelbrot set (A.G. Davis
Philip, M. Frame, A. Robucci). Automatic generation of general quadratic
map basins (J.C. Sprott, C.A. Pickover).

** Part V. Iterated Function Systems.**
Some nonlinear iterated function systems (M. Frame, M. Angers). Balancing
order and chaos in image generation (K. Culik II, S. Dube). Estimating
the spatial extent of attractors of iterated function systems (D. Canright).
Automatic generation of iterated function systems (J.C. Sprott). Modelling
and rendering of nonlinear iterated function systems (E. Gröller).

*Part VI. Computer Art*

Automatic parallel generation of aeolian fractals on
the IBM power visualization system (C.A. Pickover). Julia set art and fractals
in the complex plane (I.D. Entwistle). Methods of displaying the behaviour
of the mapping z z2 + (I.D. Entwistle). AUTUMN - a recipe for artistic
fractal images (J.E. Loyless). Biomorphic mitosis (D. Stuedell). Computer
art representing the behavior of the Newton-Raphson method (D.J. Walter).
Systemized serendipity for producing computer art (D. Walter). Computer
art from Newton's, Secant, and Richardson's methods (D. Walter). Author
index. Subject index.

Aeolian fractals Amalgamated Research, vii Apollonian packing, 27 Art, 341, 413-445 Artificial intelligence, 53, 61, 341, 415 Attractors, 49-142 Barnsley, M., 349 Basins of attraction, 79, 341 Batrachions, 127 Bifurcation, 103 Biology, 5, 15, 33, 435 Biomorphs, 435 Blaschke products, 301 Bubbles, 31 Cancer growth, 15 Cantor cheese, 201 Cardiac tissues, 33 Cellular automata, 145-218 Chaos game, 5 Chaos, control of, 35 Chaos, filtering 115 Chaotic forcing, 79 Chemistry, 35 Circle packing, 27 Clarke, A. 222 Complex maps, 221-345 Correlation dimension, 391 Critical points, 263, 321 Diffusion limited aggregation, viii DNA, 5 Dueling symmetry, 61 Eigenvalue estimation, 283 Elliptic curves, 321 Epsilon cross, 255 Field lines, 291 Filtering, 115 Fischer, Y., 349 Fractal Antenna Systems, vii Fractal fiberoptics, vii Fractal Loop, viii Fractals, practical, vii Fractals, terrain, 41 Fractint, viii Games, 161 Gaskets, 145-218 Gauss sums, 247 Genetic sequences, 5 Goose fractal, vi Halley's method, 253, 281 Henon's map, 69 Integer sequences, 127, 247 Iterated function systems, 349-410 Julia sets, 221-345 Koch curves, 145-218 L-systems, 19 Leaf patterns, 23 Lebesgue measure, 93 Life, game of, 155 Logic, 111 Logical operators, 217 Logistic map, 73 Lyapunov exponent, 50, 53, 73, 391 Mandelbrot set, scaling, 269 Mandelbrot sets, 221-345 Mandelbrot, B., vi Mathematica, 133 Menger sponges, 169 Midgets, 269, 331 Moon, F., vii Mountains, 41 Multidimensionality, 103 Mutually recursive function systems, 361 Nature, 3-45, 79 Neural networks, 121 Newton's method, 313, 327, 437, 439, 441 Noise spheres, 137 Oscillations, 35 Osculatory packing, 27 Paradoxes, 111 Pascal's triangle, 207 Pendula, 103 Phase portraits, 103 Phase transition, 93 Plants, 19, 23 Poincare cross-section, 108 Practical fractals, vii Prime numbers, 191 Quaternions, 225 Random numbers, 133 Rayleigh quotient iteration, 283 Repellers, 93 Root-finding, 253, 259, 283, 313, 327, 437, 439, 441 Seaweed, 19 Secant method, 259, 439, 441 Self-similarity, 79 Siegel disks, 297 Sierpinski gaskets, see Gaskets Solenoid, 201 Spatio-temporal chaos, 33 Terrain, 41 Tumor growth, 15 Tutorials, 225, 297 Voronoi diagrams, 23

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