Helicoid with a Hole
Obtained in terms of elliptic functions , this minimal surface has two helicoidal ends consisting of a helicoid with a hole and handle; it has genus one and it is invariant under a one-dimensional group of translations.
Based on a program by:
THINGS TO TRY
Rotate and Zoom in 3D
 D. Hoffman, H. Karcher, and F. Wei. "The Genus One Helicoid and the Minimal Surfaces that Led to Its Discovery in Global Analysis and Modern Mathematics." (1993)
 M. Weber. "The genus One Helicoid as a Limit of Screw-Motion Invariant Helicoids with Handles." (Jan 6, 2003)
Hoffman's Minimal Surface
Helicoid with a Hole
Wolfram Demonstrations Project
Published: June 4, 2014
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Riemann's Minimal Surface
Discrete Minimal Surfaces
Triply Periodic Minimal Surfaces
Scherk Minimal Surfaces
Views of the Costa Minimal Surface
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2016 Wolfram Demonstrations Project & Contributors |
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