Continuous Random Line

That is exactly the first idea that I had

void setup() {
  size(600, 600);
  noStroke ();
  background(255,255,255);
  
  float x1 = random(0, 600);
  float y1 = random(0, 600);
  float x2 = random(0, 600);
  float y2 = random(0, 600);
  float x3 = random(0, 600);
  float y3 = random(0, 600);
  float x4 = random(0, 600);
  float y4 = random(0, 600);
  float x5 = random(0, 600);
  float y5 = random(0, 600);
  float x6 = random(0, 600);
  float y6 = random(0, 600);
  
  
  
  fill(random(0, 255), random(0, 255), random(0,255));
  beginShape();
  vertex(x1,y1);
  vertex(x2,y2);
  vertex(x3,y3);
  endShape();
  
  fill(random(0, 255), random(0, 255), random(0,255));
  beginShape();
  vertex(x3,y3);
  vertex(x4,y4);
  vertex(x5,y5);
  endShape();
  
  fill(random(0, 255), random(0, 255), random(0,255));
  beginShape();
  vertex(x4,y4);
  vertex(x5,y5);
  vertex(x6,y6);
  endShape();
  
  
  }

But I would like to fill the whole screen with polygons, so I dont know how could I do that with all of the VertexEs

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