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arxiv: 2606.00945 · v1 · pith:NRO7OQZVnew · submitted 2026-05-31 · 🧮 math.PR

From hexagonal lattice to 3-12 lattice: self-avoiding walk, Ising model and percolation

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keywords latticehexagonalconformalconnectiveconstantderivedinvarianceising
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In this survey, we extend conclusions on the hexagonal lattice to 3-12 lattice: the connective constant for the 3-12 lattice can be derived from the connective constant for the hexagonal lattice; the conformal invariance of the Ising model and of the percolation on the 3-12 lattice can be derived from their conformal invariance on the hexagonal lattice.

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