A crystal shape conundrum is finally solved RiceUniversity NatComputSci
), one, accordingly, has six unknown edge energies, and three plus one to make a total of four equations; the indeterminacy is thus 6 – 4 = 2 again; the Wulff construction remains a triangle that can shift in plane without its corners truncated, an invariant shape . This hints that, to deal with undefined energies, one can simply formulate all available relations and repair the indeterminacy by adding any closure equations, which is the strategy we follow.
It is rather convenient to use the interpolation ansatz as an elegant shortcut, but is not unavoidable: one may prefer instead to merely increase the number of edges to sufficiently many , enough to achieve an accurate discretization for a continuous function ε, for the cost of increased rank of the master system.
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