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Clebsch surface in elliptic space

Hessian Surface :

Clebsch and Hessian:

After rotation in 4D-space:

Twenty lines in a Hopf-fibration, each containing 6 vertices of a 600-cell:

Twenty hexagons inscribed in the same 20 lines in the Coxeter plane of a 600-cell as part of a Witting polytope: