Hi,
I am trying to built nice 3D shapes using equations from XahLee's website.

I am able to plot the shapes in 3D but they are currently drawn using points. So obviously they are not the most beautiful in the way they look :)

I am interested to learn some tricks to make these shapes look more beautiful.

If you have any pointers to where I can look for inspiration, do let me know and I will try my best to make something more visually appealing with my code :)

Here is what I have so far (please wait a while for the shapes to come to life):

Code:

void setup(){  
   size(500, 500, P3D);  
   background(255); 
   Points3d = new Vector(); 
   frameRate(36); 
 } 
  
 float r_step = 0.002; 
 float ry=0.0f; 
  
 void draw(){ 
  
 background(255); 
 stroke(0); 
  
 translate(width/2.0, height/2.0, -200.0); 
 rotateY(ry); 
 ry += r_step; 
  
 float u = random(0, 2*PI);  
 float v = random(-2*PI, 2*PI);  
 float sc = 60;  
float R=1;    // radius of tube
float N=5.6;  // number of turns
float H=4.5;  // height
float P=1.4;  // power
float L=4;    // Controls spike length
float K=9;    // Controls spike sharpness

float W = pow((u/(2*PI)*R), 0.9);

float x = sc*(W*cos(N*u)*(1+cos(v)));
float z = sc*(W*sin(N*u)*(1+cos(v)));
float y = sc*(W*sin(v)+L*pow((sin(v/2)), K)+pow(H*(u/(2*PI)),P));



 if (Points3d.size() < 10000) Points3d.add(new Point3D(x, y, z)); 
 for (int i=0; i < Points3d.size(); i++) ((Point3D)Points3d.get(i)).draw(); 
  
 } 
   
  Vector Points3d; 
   
  class Point3D 
  { 
    float x, y, z; 
    Point3D (float _x, float _y, float _z) 
    { 
 this.x = _x; this.y = _y; this.z = _z; 
    } 
    void draw() 
    { 
 point(this.x, this.y, this.z); 
    } 
  }