JuliaFractals.jl

A library for exploring Julia set fractals using the Julia programming language, because when life gives you Julias, you make Julia set fractals with Julia!

Installation

To install GeneticTextures.jl, open your Julia REPL and type the following commands:

using Pkg
Pkg.add("https://github.com/jofrevalles/JuliaFractals.jl.git")

Usage

Here's a simple example of how to generate and visualize a Julia set fractal using JuliaFractals.jl:

using JuliaFractals
using CairoMakie
CairoMakie.activate!(type = "png")

w = h = 1000
style = :smooth
max_it = 100
c = -0.8 + 0.156im

julia_fractal = julia(c, max_iter)
img = generate_image(julia_fractal, style, w, h, (-2.0, 2.0), (-2.0, 2.0), max_iter)

cmap = :algae
f = visualize(img, :makie; cmap=cmap)

This example generates a Julia set fractal with the smooth method and visualizes it using the Makie backend.

References

This project was inspired by and uses techniques from the following sources:

1. Mandelbrot, B. B. (1980). The Fractal Geometry of Nature. W. H. Freeman and Company.
2. Peitgen, H.-O., Jürgens, H., & Saupe, D. (1992). Chaos and Fractals: New Frontiers of Science. Springer-Verlag.
3. Sims, K. (1991). Artificial Evolution for Computer Graphics. Computer Graphics, 25(4), 319-328.
4. Sims, K. (1992). Fractal Attraction: A Persistent Illusion. Computer Graphics, 26(2), 148-149.
5. Shiffman, D. (2012). The Nature of Code.
6. Braverman, M. (1999). Fractal Explorer.