Spherical foams in flat space

@article{Modes2008SphericalFI,
  title={Spherical foams in flat space},
  author={Carl D. Modes and Randall D. Kamien},
  journal={Soft Matter},
  year={2008},
  volume={9},
  pages={11078-11084}
}
Regular tessellations of three dimensional space are characterized through their Schlafli 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… 
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