Basic Chaos and Fractals Intro. Simple Iterative Fractals The geometry of Fractals lies somewhere between dimensions.
To be totally accurate "fractal" is even not a 'thing' at all but more like a unit of measure or mathematical characteristic. For example each fractal has a 'fractal dimension' which is it's degree of regularity and repetition. CANTOR SET: One very simple way to understand fractals and the meaning of "iteration" is to examine a simple recursive operation that produces a fractal pattern known as Cantor Set. you take a line of arbitrary length and remove the middle third. this is the first step or "Iteration", then take the remaining two lines and repeat the clipping procedure. Types Of Chaos & Fractals. Various Fractal Types and Categories of 'Chaos' COMPLEX PLANE FRACTALS fractals that can be produced by iterating a fractal formula with respect to a sample point on the complex plane and coloring each sample point based on the size and characteristics of the resulting iteration.
Related fractal types include Mandelbrot fractals, Julia fractals, Convergent fractals, Newton fractals, and Orbit Traps. Julia Sets Julia Sets are produced with the same formula as the Mandelbrot set, but the starting values are different. Gallery. SurfaceGen (0.9.0b) — 28 April 2012. K3DSurf images of Abdelhamid : un album sur Flickr.