An Enneper-Weierstrass Minimal Surface

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A minimal surface has zero mean curvature. An Enneper-Weierstrass parametrization for such a surface is based on two suitably defined holomorphic functions and . The functions chosen here are and . Embedding in is given by the indefinite integrals , where , and . The surface shown is the parametric plot of the real and imaginary parts of the as ranges over an annulus.

Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send