Julia Sets topic
Julia Sets are mathematical objects relating to the field of complex dynamics. In general, Julia sets are studied in parallel to Fatou sets, as they are complementary sets defined from a complex function. To be specific, in a metric space $(X,d)$, a Fatou set of a map $f: X \to X$ is the maximal open subset of $X$ on which the family of iterates $\lbrace f^n \rbrace$ is equicontinuous, and the Julia set is its complement in $X$.
To approximate images of these sets, a common approach is to iterate the function of interest over some subset of the complex plane, which often yield beautiful fractals.
Fatou.jl
Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)
fractastic
Fractastic is a simple and approachable fractal generator written in C.
fractals-cli
Multiplatform fractals explorer 🌌