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See what happens when you add up a few thousand waves in a body of water with just the right frequency:

https://www.theguardian.com/science/gallery/2016/mar/21/award-winning-images-of-science-in-action#img-1

even better  see a "spike wave"  live and in real time:

Demos like that can be used to study so called "rogue waves"  which come out of nowhere and destroy ships.

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Look at myrevised version.  It show a spike wave live and in real time:

 

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