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arxiv: 1610.09286 · v1 · pith:LMNDSDE3new · submitted 2016-10-28 · ❄️ cond-mat.soft

Quasicrystalline three-dimensional foams

classification ❄️ cond-mat.soft
keywords foamsbubbleskelvinproblemquasiperiodicthree-dimensionalaboveadditional
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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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