Finite difference simulation of the wave equation on a sphere. There are Dirichlet boundary conditions on a discrete approximation of a Julia set, that has been scaled and then projected stereographically on a Riemann sphere, with the origin mapped to the north pole of the sphere. The result is then mapped to a rectangle by an equirectangular projection, in which the x- and y-ccordinate are proportional to longitude and latitude, respectively.

In part 1, the colors and radial coordinate show the wave height. In part 2, they show the energy averaged over a time interval. The point of view rotates around the sphere in the course of the simulation.