Boundary of the Mandelbrot Set
Robert P. Munafo, 1999 Feb 3.
The boundary of the Mandelbrot Set contains all of the chaotic behavior in the iteration algorithm: all points that iterate indefinitely without a period are in the boundary. All "interesting" views of the Mandelbrot Set contain points in the boundary.
The boundary of the Mandelbrot Set is a fractal by Mandelbrot's definition, but not by the simple "dimension" definition since its dimension is 2.0. The Mandelbrot Set itself (boundary plus interior) is not a fractal by any definition.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2022. Mu-ency index
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2001 Jul 17. s.27