Helicoid with a Hole
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.
Contributed by: Enrique Zeleny (June 2014)
Based on a program by: Paul Nylander
Open content licensed under CC BY-NC-SA
 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) www.gang.umass.edu/preprint/documents/gang3-16.pdf.gz.
 M. Weber. "The genus One Helicoid as a Limit of Screw-Motion Invariant Helicoids with Handles." (Jan 6, 2003) www.indiana.edu/~minimal/research/heliclay.pdf.
"Helicoid with a Hole"
Wolfram Demonstrations Project
Published: June 4 2014