Euler spiral

void setup() {
  fullScreen(P3D);
}

void draw() {
  background(240);
  stroke(15);
  noFill();
  drawEulerSpiral(width/2, height/2, frameCount*0.01, 1000, 500.0);
}

void drawEulerSpiral(float centerX, float centerY, float range, int numPoints, float scale) {
  float ds=range/numPoints;
  float prevX=0;
  float prevY=0;
  float currentX=0;
  float currentY=0;
  float s=0;
  for (int i=0; i<numPoints; i++) {
    prevX=currentX;
    prevY=currentY;
    currentX+=scale*Math.cos(s*s)*ds;
    currentY+=scale*Math.sin(s*s)*ds;
    line(centerX+prevX, centerY+prevY, centerX+currentX, centerY+currentY);
    line(centerX-prevX, centerY-prevY, centerX-currentX, centerY-currentY);
    s+=ds;
  }
}