Standing wave modes of a vibrating square drum, given by products of sine eigenfunctions
The eigenfunctions of the Laplace operator on a square with Dirichlet boundary conditions are products of sine functions sin(nπx)sin(mπy). This program visualizes these eigenfunctions as vibrating membranes, depicting standing wave solutions to the wave equation ∂t2u=Δu on the square domain. The height and color of the surface encode the value of the eigenfunction at each point.
Controls: Click and drag to orbit, scroll to zoom.
