I took the Fourier transform of motion at constant speed around a
rectangle.  The ellipse at the foreground end of this tube is the first
nonzero component of the resulting series; it is quickly squared off as
higher-frequency components are added (180 in all).

(It's a mesh with 360*180 vertices.)

On the way to this image, I learned a better understanding of Fourier
series!

-- 
Anton Sherwood

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