Conelike soap films spanning tetrahedra
Differential Geometry
2008-09-03 v1
Abstract
In this paper we provide the first examples of non-flat soap films proven to span tetrahedra. These are members of a continuous two parameter family of soap films with tetrahedral boundaries. Of particular interest is a two parameter subfamily where each spanning soap film has the property that two minimal surfaces meet along an edge of the boundary at an angle greater than 120 degrees.
Cite
@article{arxiv.0809.0434,
title = {Conelike soap films spanning tetrahedra},
author = {Robert Huff},
journal= {arXiv preprint arXiv:0809.0434},
year = {2008}
}
Comments
19 pages, 6 figures