Tero Oravasaari
More ideas from Tero
This surface was first discussed by Hoffman and Karcher. It shows the attempt to make an embedded minimal sphere with three ends. The two catenoidal ends are parallel catenoid ends, but the planar end must necessarily intersect the two other ends, because, by the theorem of López and Ros, such a surface cannot be embedded.

This surface was first discussed by Hoffman and Karcher. It shows the attempt to make an embedded minimal sphere with three ends. The two catenoidal ends are parallel catenoid ends, but the planar end must necessarily intersect the two other ends, because, by the theorem of López and Ros, such a surface cannot be embedded.