Solving the schrodinger equation inside the Koch Fractal, starting from a gaussian initial condition.
The Koch snowflake is a fractal domain with a boundary of infinite length but finite area. This program computes eigenfunctions of the Laplace operator on the snowflake domain using a finite element method on a triangular mesh, then visualizes them as vibrating membranes. The resulting standing wave patterns exhibit the six-fold symmetry of the snowflake and become increasingly intricate near the fractal boundary.
Controls: Click and drag to orbit, scroll to zoom.