Geometric Fractals

Geometric fractals

Iterated functions and space filling curves

  • Fractal geometry
    • From the history of curves
    • Transformations & iterations
    • Mathematical monsters & maverick mathematicians
  • Space filling curves
    • Hausdorff and Minkowski dimensions
    • Complexity and self-similarity
  • Iterated function systems
    • Affine transformations
    • Collage theorem
    • Fractal compression
  • Fractal flames
    • Nonlinear transformations

Resources

Assignment

Fractal flames

Fractal flames

MS WindowsApophysis (with mods) – MS WindowsBrazil Design MS WindowsDesignIFS MS WindowsDragon Mac OSXMS WindowsLinuxElectric Sheep Mac OSXMS WindowsLinuxFlam4 WWWFractal Machine MS WindowsFractron9000 MS WindowsIFS CAD JavaIFS Fractal Editor MS WindowsIFS Generator JavaJWildfire Mac OSXOxidizer MS WindowsQSFlame JavaSpaceFillingCurves Mac OSXTeraFractal MS WindowsWonderland

Gallery of fractal flames  »