A Recursive Fractal Design Generator for Dimensions Zero to Two Implemented within a Two Dimensional Core Graphics Package

This thesis incorporates the technique developed by Benoit Mandelbrot to describe recursive fractals into an interactive graphics package based on the Core Graphics System (Core) produced by an ACM SIGGRAPH Committee (1977, 1979). The graphics package encompasses simple standard geometric shapes as well as the recursive fractals. To draw those fractals requires knowing both the basic shape or generator, and the points of recursion. These two pieces are acquired through the using of two windows which allow the generator and the points of recursion to be built. Once built, the fractal recursion level is chosen interactively on the main drawing. The conclusion I reached as a result of this project is that it is possible to integrate fractals in a systematic way into a standard graphics package, much as rectangles and circles are today in most graphics systems