Fractal geometry produces some of the most stunning images ever generated by computer. Some are unbelievably realistic. Is this the mathematics which underlies Nature and her processes? The mathematics of iteration is fascinating in its own right. This unit requires you to work autonomously, using free software from the Internet to explore this new field of mathematics. It will extend even the most advanced mathematics student. Any mathematical theory, such as basic complex number theory, which is beyond year 9 level, is included with the unit.

Introducing Fractals

Fractals as Mathematical Objects

Fractals as Art Forms

The Cantor Set

The Koch Curve

Mandelbrot - the Mathematics

Programming the Mandelbrot Set

Introducing the Julia Sets

The Mandelbrot Set

The Sierpinski Gasket & IFS Algorithms

Random Fractals - Plasma

Fractal Coastlines

Fractal Dimensions

Fractal Dimensions & Crumpled Balls

A Man Called Feigenbaum

Introducing Qbasic

Bibliography: A list of the books which have served to inspire tasks within the EUMY Mathematics set.

(c) Content: Lynne Kelly, 2007
(c) Format: EUMY Education, 2007