Fractals

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[edit] Contents

Here you can find algorithms and examples of source code for drawing fractals. Multiplatform, open source and free tools are suggested.

1. Introduction
2. Introductory Examples
3. Real-world fractals
4. Lyapunov fractal
5. Iterations of real numbers : 1D
6. Iterations in the complex plane :2D
   1. Iterations of complex quadratic polynomials
      1. Theory
         1. Definitions
         2. Basin of attraction of infinity - Boettcher coordinate
      2. Dynamical plane : Julia and Fatou set
      3. Parameter plane and Mandelbrot set
   2. Multibrot sets ( monic polynomials )
   3. The Buddhabrot.
   4. Iterations of Chebyshev polynomials
   5. exponential families
   6. trigonometric families
   7. The Newton-Raphson fractal
7. Quaternion Fractals : 3D
8. Iterated function systems
   1. Nonlinear IFS
   2. Flame fractals
9. Misc.
   1. L-Systems
   2. Midpoint displacement algorithm
   3. Diamond-square algorithm
10. Applications
    1. Fractal mountains
11. Links to other fractal learning resources on the web