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Issue 46, 2013
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Spherical foams in flat space

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Abstract

Regular tessellations of three dimensional space are characterized through their Schläfli symbols {p, q, r}, where each cell has regular p-gonal sides, q sides meeting at each vertex of a cell, and r cells meeting around each edge. Regular tessellations with symbols {p, 3, 3} all satisfy Plateau's laws for equilibrium foams. For general p, however, these regular tessellations do not embed in Euclidean space, but require a uniform background curvature. We study a class of regular foams on S3 which, through conformal, stereographic projection to [Doublestruck R]3 define irregular cells consistent with Plateau's laws. We analytically characterize a broad classes of bulk foam bubbles, and extend and explain recent observations on foam structure and shape distribution.

Graphical abstract: Spherical foams in flat space

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Publication details

The article was received on 06 Jun 2013, accepted on 08 Oct 2013 and first published on 11 Oct 2013


Article type: Paper
DOI: 10.1039/C3SM51585K
Citation: Soft Matter, 2013,9, 11078-11084
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    Spherical foams in flat space

    C. D. Modes and R. D. Kamien, Soft Matter, 2013, 9, 11078
    DOI: 10.1039/C3SM51585K

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