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Transactions of the American Mathematical Society

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Conelike soap films spanning tetrahedra

Author: Robert Huff
Journal: Trans. Amer. Math. Soc. 362 (2010), 5063-5081
MSC (2000): Primary 49Q05; Secondary 51M04
Published electronically: May 20, 2010
MathSciNet review: 2657672
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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^\circ$.

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Additional Information

Robert Huff
Affiliation: Department of Mathematics, Abilene Christian University, Abilene, Texas 79699

Received by editor(s): December 21, 2007
Published electronically: May 20, 2010
Article copyright: © Copyright 2010 American Mathematical Society

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