Fractal type : Complex Newton (or Complexnewton).
Complexnewton colors pixels according to the number of iterations to escape to a root.
Complexbassin colors pixels according to which root captures the orbit.
The equation is based on the Newton formula for solving the equation z^p = r.
Four paramaters : real and imaginary parts of degree p and root r.
A large variety of fractals can be generated depending of
these four parameters and the number of iterations.
See below the thumbnails of 12 examples of fractals generated.
Basic equations provided by FRACTINT for this type of fractals :
z(0) = pixel;
z(n+1) = ((p-1)*z(n)^p+r) / (p*z(n)^(p-1))
Four parameters : real and imaginary parts of p and r.
For the factal here, the following parameters are used :
real(p) = 4, imag(p) = -1
real(r) = 1, imag(r) = 1
Maximum number of iterations = 150