Turtlewalk made from the Binary Digits of consecutive Numbers.

binary_digit_folding.pde

// @bitcraftlab 2016

import processing.pdf.*;

int iter = 6;
int steps = 1 << (2 * iter);

float d = 2048.0 / steps;
float a = PI/2;

size(595, 842, PDF, "binary_digit_folding.pdf");

background(255);
strokeWeight(d/2);

translate(225, 75);
rotate(-PI/2);

for (int i = 0; i < steps; i++) {
  int b = i;
  while (b > 0) {
    int r = b % 2;
    b /= 2;
    rotate(r == 0 ? -a : +a);
    line(0, 0, d, 0);
    translate(d, 0);
    print(r);
  }
  println();
}