10922
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
An Enneper-Weierstrass Minimal Surface
Michael Schreiber
Riemann Surface Transition
Michael Trott
Minimal and Maximal Surfaces Generated by the Holomorphic Function log(z)
Georgi Ganchev and Radostina Encheva
Views of the Costa Minimal Surface
Enrique Zeleny
Surface Morphing
Yu-Sung Chang
Surfaces of Revolution with Constant Gaussian Curvature
Antonin Slavik
Catalan's Surface
Enrique Zeleny
Hyperboloid as a Ruled Surface
Bruce Atwood
Parametrized Cosine Surfaces
Michael Trott
Exploring Cylindrical Coordinates
Faisal Mohamed
Related Topics
3D Graphics
Complex Analysis
Differential Geometry
Surfaces
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+