Mathematical Experiment 8

  1. Draw a random spanning tree of {(x,y):x or y is an integer between 1 to n}
  2. Draw a random spanning tree of {(x,y):x or y is an integer between 1 to 30}\{(x,y): both x and y are between 12 to 18}.
  3. The configuration drawn in the above problem can be regarded as a maze. Draw its solution.
  4. Draw the path of a light ray inside a perfectly reflective square.
  5. Draw the path of a light ray inside a perfectly reflective ellipse.