Fractional Exponent Mandelbrot Sets (Thanks to Carl Weiman for help with the math.)
Below are several animations of a Z^T+C Mandelbrot set where T slowly grows.
Negative Fractional Exponent Mandelbrot & Julia Sets
Z^T+C Mandelbrot Sets for various negative T, with cycle detection as the bailout criteria.
On the left is a zoom into the five-pointed set above (far right, T=-4).
On the right is a zoom into the top left of the first zoom.