Adding Handles to the Helicoid

Alexander Bobenko, Technical University Berlin

An interective java version of the talk can be found here. An applet window appears and you can rotate and scale surfaces with the left and right mouse buttons. Also three .mpeg movies are included. Note that the downloading of the movies and fonts may take some time.

Images of embedded helicoids with one, two, three and four handles are presented below.

Helicoids with three and four handles
Hoffman, Karcher, Wei Helicoid with one handle

Helicoid with two handles