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1. Introduction

In the past books like [1] presented recipes to create interesting random patterns using physical phenomena. More recently programs like fractint [6] can create innumerable images by using fractals. If you look more in detail on how those images are produced, you have mainly the following origin [4]:

It seems that only people expert in those two fields can discover interesting new formulas. For example the algorithm corresponding to the Mandelbrot set is:

equation34

How can you discover the magical coefficients if you don't know the algebra of complex numbers? The starting point for the method proposed here is the possibility that the algorithm (1) is more fundamental than the complex formula from which it comes (or the system of differential equation). A computer with only the ability to execute the four algebraic operations can create any fractal. This would be in the end a algorithm like (1) with only algebraic operations which is repeatedly executed .


Giuseppe Zito
Wed Jul 31 18:19:39 MET DST 1996