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Willmore Torus 4 Lobed Surface

A script to generate the Willmore Torus surface

Symmetries

The 4-lobed Willmore torus is an unstable critical point of the Willmore energy functional featuring four symmetric, bulbous ripples or lobes. It is constructed by lifting a closed elastic curve with specific winding symmetries from a 2-sphere into four-dimensional space via the Hopf fibration before stereographically projecting it down into 3D.

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