Bihelicoid in S^3

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This is a minimal surface described in the paper “Minimal submanifolds of the bicylinder boundary” by Thomas Banchoff. Specifically, it is a bihelicoid from section 2 with the parameters m=3 and n=1. This surface is an immersion of a torus with the only incident points along one of the two axes of the defining bicylinder. To get this projection, we rotated the surface so that the two linked axes would project symmetrically to R^3. The projection itself is an azimuthal equidistant projection, which takes S^3 to a ball. We cut away the surface to be able to view the interior.