Fractal-like phase plots

Define f(z) = iz*exp(-z/sin(iz)) + 1 and g(z) = f(f(z)) + 2 for a complex argument z. Here’s what the phase plots of g look like.The first image lets the real and imaginary parts of z range from -10 to 10.This close-up plots real parts between -1 and 0, and imaginary part between -3 and [...]