Mathematical Experiment 13
A harmonic function defined on a graph G is a scaler-valued function
defined on the set of all veritces of G such that f(v)
is the average of all f(w) as w ranges over all neighboring
vertices of v. We can immitate the boundary-valued problem in analysis
by assigning f(x) as x ranges over the endpoints of
and try to solve for f(x) as x ranges over all vertices
Design a graph and assign the boundary values at the endpoints.
Find an approximation method that would give an approximate solution to
the boundary-value problem.
Write a program to play the Game of Life.
Write a program to play the Game of Life on some graph.
Draw Mandelbrot's square snowflake.
Display various cross intersection of a torus with a plane.