Graphical Fractals Based on Circles - Abstract

Robert W. Fathauer
Bridges: Mathematical Connections in Art, Music, and Science (2002)
Pages 305–305


Fractals such as the Mandelbrot set are constructed computationally. based on an equation. It is also possible to construct fractals graphically, based on a set of rules for progressing from one iteration to the next. The use of a computer drawing program such as FreeHand greatly aids this repetitive construction process. A variety of such fractals are constructed using the circle as the fundamental building block. In some of these, overlapping circles are employed, while in others, the circles do not overlap, but touch tangentially.