>> OK, so I simulated the wave equation and got... this?
>
> Try including the attachment, dork! :-P

I made some POV code to simulate the wave equation a long time ago, see 
attached.  Maybe you can compare with your code and see where it's giving 
different answers?

BTW in my version it forces the central point to follow a sine wave up and 
down, and that then causes the circular "ripple" effect outwards.

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