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arXiv · 1610.09286

Quasicrystalline three-dimensional foams

Simon J. Cox·François Graner·Rémy Mosseri·Jean-François Sadoc
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Abstract

We present a numerical study of quasiperiodic foams, in which the bubbles are generated as duals of quasiperiodic Frank-Kasper phases. These foams are investigated as potential candidates to the celebrated Kelvin problem for the partition of three-dimensional space with equal volume bubbles and minimal surface area. Interestingly, one of the computed structures falls close (but still slightly above) the best known Weaire-Phelan periodic candidate. This gives additional clues to understanding the main geometrical ingredients driving the Kelvin problem.

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Simon J. Cox, François Graner, Rémy Mosseri, Jean-François Sadoc. 2016-10-28. Quasicrystalline three-dimensional foams. https://doi.org/10.1088/1361-648x%2Faa5712

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