Hyperboloid

float theta = 0;

float radius = 400;

ArrayList<PVector> coordListTop = new ArrayList<PVector>();

ArrayList<PVector> coordListBottom = new ArrayList<PVector>();

float rotate  = 0.0;

int Y = 640;

int twist = 30;

​

void setup(){

  size(800,800, P3D);

  background(0);

  while(theta<360){

    float x = radius * cos(radians(theta));

    float z = radius * sin(radians(theta));

    PVector coordTop = new PVector(x,-Y,z);

    PVector coordBottom = new PVector(x,Y,z);

    coordListTop.add(coordTop);

    coordListBottom.add(coordBottom);

    theta+=5;

  }

}

​

​

void draw(){

  background(0);

  translate(400,400,0);

  rotateY(rotate);

  rotate+=0.005;

  int size = coordListTop.size();

  colorMode(HSB,size,1,1);

  pushMatrix();

  translate(200,0,200);

  stroke(map(rotate%(2*PI),0,2*PI,0,size),1,1);

  noFill();

  sphere(100);

  popMatrix();

​

  for (int i=0; i<coordListTop.size();i++){

    stroke(i,1,1);

    line(coordListTop.get(i%size).x, coordListTop.get(i%size).y, coordListTop.get(i%size).z, 

    coordListBottom.get((i+twist)%size).x, coordListBottom.get((i+twist)%size).y, coordListBottom.get((i+twist)%size).z);

  }

}

​