Biomedical subjects
Publications and source records attributed to K Grosse-Brauckmann.
We announce the classification of complete almost embedded surfaces of constant mean curvature, with three ends and genus zero. They are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.
We use Brakke's Surface Evolver to construct a family of intersection-free triply periodic surfaces with constant mean curvature. The gyroid family models various physical interfaces. We calculate area and volume along the family, compare it with the Schwarz P and D families, and discuss the general problem of a comparison of triply periodic morphologies.