Simple geometric fractals

Recently, vision scientists have begun to explore fractals. This paper describes a set of programs that can be used to create fractal and fractal-like drawings. The programs were implemented on the Apple II series of computers. The programs were primarily designed to create deterministic and random fractal-like patterns with fractal dimensionality between 1 and 2. A supplementary program computes the box dimensionality, a measure of dimensionality that does not assume an infinite recursive process. The advantages of this measure of dimensionality over the more typical self-similar measure are discussed.