Visualize the math

// Started here

// Spent about two hours tinkering around and produced the following.

// Enjoy 😊

#ifdef GL_ES
precision mediump float;
#endif

uniform float time;
uniform vec2 resolution;
uniform sampler2D backbuffer;

#define PI 3.14159

void main(){
	vec2 p = (gl_FragCoord.xy - 0.5 * resolution) / min(resolution.x, resolution.y);
	vec2 t = vec2(gl_FragCoord.xy / resolution);
	
	vec3 c = vec3(0);
	
	for(int i = -6; i <= 6; i++) {
		if (i == 0) continue;
		
		float t = float(i) * time / 6.;
	
		
		float x = cos(t*1.618033989) * 4.;
		float y = sin(t*PI*.25) * 3.;
		
		vec2 o = .1 * vec2(x, y);
		vec2 o2 = .1 * vec2(y * 1.5, x * 1.);
		
		vec2 om = -o;
		vec2 o2m = -o2;
		
		float r = (fract(x)) * .45;
		float g = (1.0 - r) * .3;
		
		c += 0.005 / (length(p-o)) * vec3(r, g, .5);
		c += 0.005 / (length(p-om)) * vec3(r, g, .5);
		
		c += 0.002 / (length(p-o2) * .4) * vec3(g,.25, r);
		c += 0.002 / (length(p-o2m) * .4) * vec3(g,.25, r);
	}
	
	gl_FragColor = vec4(c, 1);
}