/* -*-ePiX-*- */
/* geomsum.c -- July 16, 2001 */
#include "epix.h"
using namespace ePiX;

const int N(8);

int main() 
{
  picture(P(0,0), P(1,1), "2.5x2.5in");
  begin();

  pen(White(), "0.8pt");
  fill(White(0.9));
  rect(P(0,0), P(1,1));

  black();
  label(P(1.0/4,   1.0/2), "$\\frac{1}{2}$");
  label(P(5.0/8,   3.0/4), "$\\frac{1}{8}$");
  label(P(13.0/16, 7.0/8), "$\\frac{1}{32}$");

  white();
  fill(Blue());
  double t(0.5);

  for(int i=0; i<N; ++i, t *= 0.5)
    {
      rect(P(1-t, 1-2*t), P(1, 1-t));
      line(P(1-t, 1-2*t), P(1-t, 1));
    }

  label(P(3.0/4,     1.0/4), "$\\mathbf{\\frac{1}{4}}$");
  label(P(7.0/8,     5.0/8), "$\\mathbf{\\frac{1}{16}}$");
  label(P(15.0/16, 13.0/16), "$\\mathbf{\\frac{1}{64}}$");

  end();
}