Using Symmetry Features of the Surface Evolver to Study Foams

Ken A. Brakke and John M. Sullivan
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Ken A. Brakke: Susquehanna University, Mathematics Dept.
John M. Sullivan: University of Minnesota, Mathematics Dept.

A chapter in Visualization and Mathematics, 1997, pp 95-117 from Springer

Abstract: Summary This paper describes the use of various symmetry features, including periodic boundary conditions, mirror boundaries, and rotational symmetry, in the Evolver. As a test case, we use these features to study foams, in particular the equal-volume foams of Kelvin and Weaire-Phelan. To compute the shape and energy of one of these compound surfaces, it is most efficient to work with only the smallest possible fundamental domain.

Keywords: Triple Junction; Fundamental Domain; Voronoi Cell; Mirror Plane; Volume Constraint (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_7

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DOI: 10.1007/978-3-642-59195-2_7

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