Robert P. Munafo, 1996 Mar 5.

[AMY] Amygdala, PO Box 219 San Cristobal, NM 87564-0219. This is a newsletter about the Mandelbrot Set and other fractals. Write to them for more info. Issue #22, A Mandelbrot Set Lecture Tour, by Philip & Philip, and Issue #19, The Taming of the Shrew, also by Philip & Philip, covers many of the same things described here.

[DE1] A. K. Dewdney. Computer Recreations. Scientific American August 1985. This article was the first description of the Mandelbrot Set in a well-known magazine; thus it is responsible for most of the current interest in the Mandelbrot Set. In other issues of Scientific American, this column discussed other simple, interesting computer programs, including several other types of computer art. The column no longer runs.

[DO1] A. Douady. Algorithms for Computing Angles in the Mandelbrot Set. Chaotic Dynamics and Fractals, 1986 (vol./# unknown). Rather technical description of the relationships between external angles in different Julia Sets and in corresponding parts of the Mandelbrot Set.

[MB1] Benoit B. Mandelbrot. The Fractal Geometry of Nature. New York: W. H. Freeman and Company. ISBN 0-7167-1186-9. This book discusses dozens of fractals that Mandelbrot has worked on over the years. The book, which is an updated and expanded version of the earlier Fractals: Form, Chance, and Dimension, contains lots of useful information but does not serve well as a reference book due to its rather terse and complex style. Mandelbrot's primary goal in the book seems to be to simulate the common forms of nature with mathamatics, and at this he succeeds in most cases.

[PE1] H. O. Peitgen and P. H. Richter. The Beauty of Fractals. New York: Springer-Verlag Inc. ISBN 0-387-15851-0. This book has a dual purpose. To mathematicians and scientists it describes the chaotic behavior of complex systems, to which the Mandelbrot Set and Julia Sets are closely related. To the rest of us, it presents dozens of beautiful, high-resolution pictures and describes in a fairly simple manner how to program the computer to duplicate them. It describes the structure of the Mandelbrot Set in a more complete manner than Mandelbrot's book.

[PJS] Heinz-Otto Pietgen, Hartmut Jürgens, and Dietmar Saupe. Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, Inc. ISBN 0-387-97903-4. This book is an excellent reference on current knowledge throughout the entire field of chaos and fractals. There is also quite a bit of discussion on related topics such as pi (¼). Several BASIC programs, extensive footnotes and bibliography

[SL1] N. J. A. Sloane. A Handbook of Integer Sequences. New York: Academic Press, 1973. This book lists nearly every integer sequence which has ever been mentioned in scientific literature, although by now it is a bit old. Several important sequences are related to the Mandelbrot Set, including the powers of 2, Euler's totient function, and others.

[SO1] Peter R. Sørensen. Fractals. Byte, Sep. 1984 p. 157. Article discusses a few of Mandelbrot's fractals and gives a program for drawing Julia Set plots.