A numerical process to approximate optimal partitions in any dimension is reported. The key idea of the method is to relax the problem into a functional framework based on the famous result of Γ-convergence obtained by Modica and Mortolla.
"Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture." Experiment. Math. 20 (3) 260 - 270, 2011.