Mathematical Experiment 11

Perform a simulation of a random walk on a graph with eight nodes. When
reaching a node v, the probability of reaching the next node w
equals 1/k if w is among the endpoints of one of the k
edges leaving the node v. A bar chart indicating the frequency of
the visits at each stage should be included.

Draw the Moebius band.

Simulate the solution to the planar ``three body'' problem.

Demonstrate the proof of the Pythagorean theorem in the form of a movie.
There are 256 proofs of this theorem given in Elisha Scott Loomis, The
Pythagorean Proposition.

Draw a trefoil knot.