Fractional Julia Sets

vivianimbriotis | Oct. 28, 2021, 1:52 p.m.

Here are the Julia sets of a family of functions:

f_a(x) = x ^ (a) + 1 + 1i

for a in the real interval [1,2.2].

Colors taken from the http://colormind.io/ API (highly recommended).

About Viv

Mid-twenties lost cause.
Trapped in a shrinking cube.
Bounded on the whimsy on the left and analysis on the right.
Bounded by mathematics behind me and medicine in front of me.
Bounded by words above me and raw logic below.
Will be satisfied when I have a fairytale romance, literally save the entire world, and write the perfect koan.