Algebraic Fractals

Algebraic fractals

From Mandelbrot set to higher dimensions

  • Dynamical systems in complex plane
    • From quadratic equation to fractals
    • Julia and Mandelbrot sets
    • Complex fractal visualization — orbit traps, escape trajectories, decomposition & coloring
  • Numerical systems
    • Numerical root finding methods
    • Newton set
  • Spatial fractals
    • Mandelbulb algorithm
    • Hypercomplex numbers & quaternion fractals

Resources

Assignment

Multidimensional fractals

Multidimensional fractals

MS WindowsAmazing Boxplorer MS WindowsChaosPro Mac OSXMS WindowsLinuxFragmentarium MS WindowsIncendia Mac OSXMS WindowsMandelbulb 3d Mac OSXMS WindowsLinuxMandelbulber MS WindowsQuat MS WindowsQuatern MS WindowsQuaternion Julia Navigator Mac OSXMS WindowsLinuxSynthclipse

Gallery of multidimensional fractals  »