Video 1

Movie S1. The construction of a helistogram for a helical ring with n=6 windings. The smoothed path corresponding to each cutoff wavelength is shown (Left) along with the complete helistogram (Right). The cutoff of the current smoothing is indicated with the red dashed line; for cutoff values below the wavelength L/n (dashed gold line), the path is unaffected by the smoothing; however, once the cutoff value approaches L/n, the helix is rapidly smoothed down to a ring of zero helicity.