Half Wente Torus

thingiverse

The Wente Torus As concretized by Stewart Dickson, Research sponsored by Computer Science and Mathematics Division of Oak Ridge National Laboratory, managed by UT-Battelle, LLC for the U.S. DOE under Contract No. DE-AC05-00OR22725 Is a compact immersion of the torus which has constant mean curvature. Prior to 1984, the only known surface having this property was the sphere. Henry Wente, who discovered this surface, is on the faculty of the Department of Mathematics, University of Toledo. Other images and discussions of the Wente Torus and other Constant Mean Curvature surfaces can be found at the following URLs: The Wente Torus Page at The Mathematical Sciences Research Institute. http://www.msri.org/publications/sgp/jim/images/stills/wente/mainc.html The Wente Torus Page at the Geometry, Analysis, Numerics and Graphics (GANG) Center, University of Massachusetts, Amherst http://www.gang.umass.edu/gallery/cmc/cmcgallery0301.html Here are some images I have made of the surface, from data supplied by Ivan Sterling. See also: http://www.ifp.illinois.edu/~sdickson/Wente/Wente.html https://web.archive.org/web/20070824155726/http://emsh.calarts.edu/~mathart/sw/objView/thicken.html