What Causes the Peculiar Patterns in My Random Sequence Plot?

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Nano-Passion
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Absolutely Stunning Plot of a "Random" Sequence (Picture Included)--Need Explanation

So I created 10000 waves of varying heights, 50% of the waves were 2 feet, 30% 1 foot, 15% 3 feet, 4% 4 feet, and 1% 5 feet tall.

I generated 10000 "random" numbers with the statement "=Rand()" (this generates a random number in value [0,1], then I added each of the wave's height with each of its adjacent random number to randomize the data.

I plotted the noisy data and I got an interesting little smudge that looked very peculiar. So I tried a different type of graph "100% stacked horizontal cone" and I got the plot that is attached, that seems to have very artistic characteristics with some pseudo wave/diffraction patterns.See attached. Does anyone have an explanation for this?

Edit: Can't attach excel file for some reason, but its pretty straight forward to generate it yourself in excel.
 

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