Bounty: 50
On slide 24 of this talk one finds this image
which is supposed to depict the atomic set e^{i phi} [ 1, e^{2 pi i f}, e^{4 pi i f}, … e^{2 (n – 1) pi i f}]^T for phi in [0, 2 pi) and f in [0, 1).
I am suspecting that only the real parts of the first three components of the vector is plotted for different phi values but that is not quite it.
I would be grateful if someone could identify what exactly is plotted and how to achieve the colouring on the surface.
MWE
documentclass[tikz]{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[grid = major, view={-30}{30}]
addplot3[variable=t,samples = 60,domain=0:1]
({cos(2 * pi * deg(t))},{cos(4 * pi * deg(t))}, {cos(6 * pi * deg(t))});
end{axis}
end{tikzpicture}
end{document}