The eigenfunctions of the Laplace-Beltrami operator on a cylinder are products of trigonometric functions in the angular direction and sinusoidal functions along the axis. This program visualizes these eigenfunctions by color-coding the cylinder surface and deforming it according to the eigenfunction’s value, producing standing wave patterns that illustrate how the cylindrical geometry constrains the vibrational modes.
Controls: Click and drag to orbit, scroll to zoom.
