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We use the tangent method to compute the arctic curve of the Twenty-Vertex(20V) model with particular domain wall boundary conditions for a wide set ofintegrable weights. To this end, we extend to the finite geometry of domainwall boundary conditions the standard connection between the bulk 20V and 6Vmodels via the Kagome lattice ice model. This allows to express refinedpartition functions of the 20V model in terms of their 6V counterparts, leadingto explicit parametric expressions for the various portions of its arcticcurve. The latter displays a large variety of shapes depending on the weightsand separates a central liquid phase from up to six different frozen phases. Anumber of numerical simulations are also presented, which highlight the arcticcurve phenomenon and corroborate perfectly the analytic predictions of thetangent method. We finally compute the arctic curve of the Quarter-turnsymmetric Holey Aztec Domino Tiling (QTHADT) model, a problem closely relatedto the 20V model and whose asymptotics may be analyzed via a similar tangentmethod approach. Again results for the QTHADT model are found to be in perfectagreement with our numerical simulations.

Arctic curves of the twenty-vertex model with domain wall boundaries