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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.
Contributed by:
Roman E. Maeder
THINGS TO TRY
Rotate and Zoom in 3D
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.
RELATED LINKS
Minimal Surface
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Complex Rotation of Minimal Surfaces
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ComplexRotationOfMinimalSurfaces/
Contributed by:
Roman E. Maeder
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