Wolfram Demonstrations Project

This demonstrates the rotation of a minimal surface in the complex plane. A range of minimal surfaces generated by the Weierstraß parametrization from

, with

can be obtained. The multiplication by

introduces a rotation in the complex plane.

Contributed by: Roman E. Maeder

Rotate and Zoom in 3D

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.

Minimal Surface (Wolfram MathWorld)

"Complex Rotation of Minimal Surfaces" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ComplexRotationOfMinimalSurfaces/

Contributed by: Roman E. Maeder

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Complex Rotation of Minimal Surfaces

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