http://personales.unican.es/gutierjm/main/fractals.html found something interesting: multifractals! can this be implemented in fractint? I think a multifractal is an object composed of many different fractals at the same time! -david from the page: The term multifractal is applied when many fractal subsets with different scaling properties coexist simultaneously. In this sense, a measure defined on a fractal may have a multifractal character. The irregularity of this measure contains much information about the system that can be conveniently analyzed using multifractal theory. The main objective of the multifractal analysis of a measure m defined on a fractal set, S, is characterizing the dimensions and the structure associated with the sets S(a), as a function of the singularities a (for further information see, for example, (Falconer 1990)). where B(x,e) is the e-radio ball with centered at x. Each of the singularities a determine a subset of the fractal, S(a), with a characteristic scaling property which is given by the corresponding fractal dimension d(a). In the case of measures generated generated with the chaos game algorithm, it can be shown that all the singularities are of the form where x1+...+xn=1, being the associated dimension