Complex Rotation of Minimal Surfaces
Complex Rotation of Minimal Surfaces
This demonstrates the rotation of a minimal surface in the complex plane. A range of minimal surfaces generated by the Weierstraß parametrization from , as , with can be obtained. The multiplication by introduces a rotation in the complex plane.
f(z)=
ϕ
-z
g(z)=
z
Re∫f-f,f+f,2fgz
2
g
2
g
z=u+v
ϕ