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
