Art›Trefoil

trefoil.pde

float r = 75;
float rotation_y = 0;

// x = r * cos(phi) * cos(theta)
// y = r * cos(phi) * sin(theta)
// z = r * sin(phi)

// r(beta) = 0.8 + 1.6 * sin(6 * beta)
// theta(beta) = 2 * beta
// phi(beta) = 0.6 * pi * sin(12 * beta)

void push() {
	pushMatrix();
	pushStyle();
}

void pop() {
	popStyle();
	popMatrix();
}

void setup() {
	size(600, 600, P3D);
	colorMode(HSB, 100);
}

void draw() {
	background(0);
	
	/*float beta = 0;
	
	push();
	
	translate(width/2, height/2);
	rotateY(rotation_y);
	
	beginShape();
	noFill();
	stroke(35, 100, 100);
	
	while(beta < PI) {
		float r = ((0.8 + 1.6 * sin(6 * beta)) * 200);
		float theta = (2 * beta);
		float phi = (0.6 * PI * sin(12 * beta));
		
		float x = r * cos(phi) * cos(theta);
		float y = r * cos(phi) * sin(theta);
		float z = r * sin(phi);
		
		vertex(x, y, z);
		
		beta += 0.01;
	}
	
	endShape();
	
	pop();
	*/
	
	push();
	translate(width/2, height/2);
	rotateY(rotation_y);
	noFill();
	strokeWeight(r);
	stroke(35, 100, 100);
	beginShape();
	
	for(int t = 0; t <= 360; t++) {
		float rad = radians(t);
		
		float x = ((sin(rad) + (2 * sin((2 * rad)))) * r);
		float y = ((cos(rad) - (2 * cos((2 * rad)))) * r);
		float z = ((-sin((3 * rad))) * r);
		
		vertex(x, y, z);
	}
	
	endShape();
	pop();
	
	rotation_y += 0.01;
	
	if(frameCount == 50) { save("preview.png"); }
}