Great Fractal Software
list of great software for Fractals, IFS, L-systems.
Mandelbrot and Newton fractal varieties
Mandelbrot and Newton fractal are a type of fractal that iterates a function and see if it converges.
See also: Mandelbrot Set Explained (no complex number needed)
http://www.fractaldomains.com/ (2003-10,2011-02) macOS
Fractal Domain is one of the best fractal program on the Mac as of 2003. It can plot Mandelbrot and Julia sets, but also arbitrary formula for Rational, Newton, Harley types of fractals. It has a color map editor, and also parameter adjustments such as dwell value and orbit. It comes with a comprehensive documentation that explains the basic math of various fractal types and the program details. Author is Dennis C De Mars.
https://xaos-project.github.io/ macOS Windows Linux
Xaos is a real-time fractal zoomer.