A parameterization is isothermal if, for ζ congruent u + i v and ϕ_k(ζ) = (dx_k)/(du) - i(dx_k)/(dv), the identity ϕ_1^2(ζ) + ϕ_2^2(ζ) + ϕ_3^2(ζ) = 0 holds.
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