Complex Rotation of Minimal Surfaces

This demonstrates the rotation of a minimal surface in the complex plane. A range of minimal surfaces can be generated by the Weierstraß parametrization from , as , with . The multiplication by introduces a rotation in the complex plane.

THINGS TO TRY

SNAPSHOTS

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DETAILS

Snapshot 1: the surface for is the catenoid
Snapshot 2: gives the helicoid
Snapshot 3: gives a transition phase
The code for computing the parametrization is from Roman E. Maeder, The Mathematica Programmer, Academic Press, 1994.
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