Complex Rotation of Minimal Surfaces

ϕ

0.

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

f(z)=

ϕ



-z



,

g(z)=

z



as

Re∫f-f

2

g

,f

2

g

+f,2fgz

, with

z=u+v

can be obtained. The multiplication by

ϕ



introduces a rotation in the complex plane.