|Ken Shirriff -> Fractals -> Fractional-exponent fractals|
The problem is that z^2.5 doesn't have a unique value. (Just like the square root of 4 is 2 or -2.) A standard formula for fractional powers will pick one of values, and there will be a "fault line" of z values where the formula suddenly switchs from one value to another. This results in artifacts in the fractal.
I'm exploring different ways of computing the "real" structure of a fractal generate from a multi-valued function such as a fractional exponent.
The following image is a sample result: