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Complex Rotation of Minimal Surfaces

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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.

Contributed by: Roman E. Maeder (September 2007)
Open content licensed under CC BY-NC-SA

Snapshots

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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