#FractalFriday (It's already Saturday)
Elephant valley of the Mobius Mandelbrot set.
Formula: \(z_{n+1}=f(z_n^2+c,1)\)
where \(f(z, a)\) is defined as (C-like pseudocode):
Complex f(Complex z, Real a) {
Real dist = abs(re(z)) - a;
if (re(z) > a) {
re(z) = -a + dist;
im(z) = -im(z);
} else if (re(z) < -a) {
re(z) = a - dist;
im(z) = -im(z);
}
return z;
}
Coloring is done by using three very similar colormaps, mapped to triangle inequality average values.
The final color is produced by interpolating between these three colors using the so called "atom domains".
Generated using my GLSL Shadertoy fractal generator: https://www.shadertoy.com/view/33sSRf
- 太陽動物園
