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Raindrop picture

My current favorite graph


Color-free version with the non-infinite center point


Colorful version where the central point has an infinite z-value

This is a graph I first came to love on the TI-89.
I think it looks like what happens when a raindrop falls on a pond.
However, it is actually just what happens when you rotate y=sin(x)/x around the z-axis.
(The equation is z=sin(x^2+y^2)/(x^2+y^2)

The TI-89 is very nice, what with solver and all.
But the truth is that this is so much better.
It probably would not surprise you that Mr. Parris wrote the program
with which I was able to draw this graph.

For now, though, just look at it and be glad that
now you know what water looks like!

If you are interested, which you very well may be if you clicked on a page about "Cool Math" in the first place, you can click here to see my solution to the USAMTS problems that they "published" online!

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