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In this paper we investigate extreme Gibbs measures with period p for the Vannimenus model.Periodic extreme Gibbs measures with memory length 2 of Vannimenus model Hasan Akin∗, Nasir Ganikhodjaev†, Selman U ˘guz∗∗and Seyit Temir∗∗ ∗Department of Mathematics, Zirve University, Gaziantep, Turkey †Department of Computational and Theor