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.
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.