Quasicrystalline three-dimensional foams
Soft Condensed Matter
2017-03-08 v1
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.
Cite
@article{arxiv.1610.09286,
title = {Quasicrystalline three-dimensional foams},
author = {Simon J. Cox and François Graner and Rémy Mosseri and Jean-François Sadoc},
journal= {arXiv preprint arXiv:1610.09286},
year = {2017}
}