Conelike soap films spanning tetrahedra

Details Conelike soap films spanning tetrahedra Conelike soap films spanning tetrahedra

2008-09-02

arxiv.org/abs/0809.0434v1

Mathematics

Differential Geometry

19 pages, 6 figures

Scientific paper

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.

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