Lesson 1 of 10 · Strange attractors on the GPU
The point
One point. Three rules. An impossible form.
Everything begins with one point. You do not place it: you release it, and three equations decide where it goes, step by step. That thread of light is one point drawing its path.
It never repeats and never escapes. That is a strange attractor: chaos with form.
attractor(p)The rule of motion. It receives where the point is and returns where it goes next. We open it in the following lesson.
Move Stretch and Inflate: they edit
d and a in the equation. The form reconfigures instantly.The code
vec3 attractor(vec3 p){
// Aizawa · mueve los números y mira
float a=0.95, b=0.70, c=0.60, d=3.50, e=0.25, f=0.10;
float dx = (p.z - b)*p.x - d*p.y;
float dy = d*p.x + (p.z - b)*p.y;
float dz = c + a*p.z - p.z*p.z*p.z/3.0
- (p.x*p.x + p.y*p.y)*(1.0 + e*p.z) + f*p.z*p.x*p.x*p.x;
return vec3(dx, dy, dz);
}