Exploring the Mandelbrot Set
Robert P. Munafo, 2002 Apr 18.
Most people who encounter the Mandelbrot set and begin to explore it discover its various features in a particular order. Each is discussed separately. In order of discovery, these features are:
3. The Island mu-molecules.
and then, at roughly the same time:
Then one reaches a bit of a lull. To most observers, these properties seem to account for everything in the structure of the Mandelbrot Set. In fact, most people will stop here, and some technically-minded enthusiasts have devised Naming Systems based on these features alone (plus possibly the External Arguments).
Persistent explorers and those with a more mathematical background will also discover:
- The External Arguments.
- The Embedded Julia Sets.
algorithms, for discussion of how to write a Mandelbrot program.
history, for a brief history of the Mandelbrot Set's exploration.
R2 for a guide to the largest features of the Mandelbrot Set.
enumeration of features for a discussion of the various number sequences that are discovered when the Mandelbrot set's features are counted.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2012. Mu-ency index