page 84, exercise 2, "Processing: A programming Handbook..."

p084ex2.pde

/* Use the data from the curve y = x ^ 8 to draw something unique */

size(640, 480);
smooth();
float expMax = 8.0;
float expStep = 0.0625;
for(int x = 0; x < width; x++) {
  float xNorm = norm(x, 0, width);

  noStroke();
  fill(0, 20);

  for(float i = 1.0; i < expMax; i+=expStep) {
    float yPos = height * pow(xNorm, i);
    float yNeg = height * pow(xNorm, 1.0/i);
    ellipse(x, yPos, 12, 6);
    ellipse(x, yNeg, 6, 12);
  }
  float yPos = height * pow(xNorm, expMax);
  float yNeg = height * pow(xNorm, 1.0/expMax);
  stroke(0);
  strokeWeight(1);
  line(x, yPos + 8, x, 0);
  line(x, yNeg, x, height);
}