Simulated annealing on a unit-range Potts model produces optimal two-to-seven colorings; only the seven-color case converges to zero same-color unit-distance pairs, suggesting the plane's chromatic number is seven.
Soifer,The Mathematical Coloring Book(Springer-Verlag, 2009)
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Lattice approach to plane colorings
Simulated annealing on a unit-range Potts model produces optimal two-to-seven colorings; only the seven-color case converges to zero same-color unit-distance pairs, suggesting the plane's chromatic number is seven.