Fractal-rs

Fractal-rs is a fractal visualization tool crafted in Rust, designed to generate a wide array of complex and beautiful fractals. Using Rust along with Rayon, enabling it to produce high-resolution images of various fractal patterns. The tool offers configurable color gradients and a diverse selection of fractal generation algorithms, combining performance with visual versatility.

Fractals

Fractal	Description	Resources
Mandelbrot Set	A set of complex numbers for which the function $f(z) = z^2 + c$ does not diverge when iterated from $z = 0$	Wikipedia, Paul Bourke
Julia Set	A set of complex numbers for which the function $f(z) = z^2 + c$ does not diverge when iterated from $z = c$	Wikipedia, Paul Bourke
Burning Ship	A variant of the Mandelbrot set, with the function $f(z) = (| Re(z) | + i | Im(z) | )^2 + c$	Wikipedia, Paul Bourke
Lyapunov	A fractal based on the logistic map $x_{n+1} = r x_n (1 - x_n)$	Wikipedia, Paul Bourke
Newton Raphson	A fractal based on Newton's method for finding roots of a function	Wikipedia, Paul Bourke
Sierpiński	A fractal based on the Sierpiński triangle	Wikipedia, Paul Bourke
Koch Snowflake	A fractal based on the Koch curve	Wikipedia
Dragon Curve	A fractal based on the Heighway dragon curve	Wikipedia
L-Systems	A fractal based on Lindenmayer systems	Wikipedia, Paul Bourke

References

• Fractals Wikipedia
• Paul Bourke Fractals