> I know I've asked this before, but what's the algorithm for this?

The wave equation.

http://en.wikipedia.org/wiki/Wave_equation

2nd time differential of "wave value" is proportional to the 2nd spatial 
differential of "wave value"

2nd time differential is just acceleration (use it in an integrator like RK4 
to get the new positions).

2nd spatial differential in 2D is just d2u/d2x + d2u/d2y

See attached POV code.

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