This is a two-dimensional set with a relatively simple definition that exhibits great complexity. The set is defined in the complex plane as the complex numbers; for which the function " f = z^2 + c " does not diverge to infinity when iterated starting at z=0 i.e. for which the sequence f(0), f(f (0) etc., remains bounded in absolute value. The blue colors show where it converges and the red show where it diverges, the green and yellow shows how fast it diverges if it diverges slowly, it shows yellow and green and if it diverges rapidly, it is completely red.
For more information watch this video
## https://youtu.be/FFftmWSzgmk
