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

Mac OSXCommercialFractal Domains MS WindowsFractal Explorer MS WindowsFractal Forge MS WindowsCommercialFractal Science KitMS WindowsLinuxFractint/Winfract MS WindowsLinuxFractorama AndroidFractview Mac OSXMS WindowsLinuxFraqtive LinuxGnofract 4D MS WindowsKokos Fractals MS WindowsNewton Fractal Viewer Mac OSXMS WindowsLinuxPerceptron MS WindowsQSFract JavaSlatcarf Mac OSXMS WindowsCommercialUltra Fractal MS WindowsWinCIG Mac OSXMS WindowsLinuxXaoS

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  »