Complicated Implicit Function Graph.

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Complicated Implicit Function Graph.

Postby Heptadecagon » Sun Dec 09, 2012 5:14 pm UTC

Hello all, I recently found a very interesting looking graph, and am wondering if there is any sort of analysis that can be done on it. The equation for it is sin(x)+sin(y)=sin(x*y) . WolframAlpha graphs some of it, though this graphs it better:
It's clear that it has a line of symmetry along x=y, but my question is how much we can learn about this exotic looking graph... thanks!

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Re: Complicated Implicit Function Graph.

Postby Qaanol » Sun Dec 09, 2012 5:35 pm UTC

I’d start by looking at z=sin(x)+sin(y)-sin(xy).
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