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  • Three-pencil lattices on tr...
    Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil

    Numerical algorithms, 8/2007, Letnik: 45, Številka: 1-4
    Journal Article

    In this paper, three-pencil lattices on triangulations are studied. The explicit representation of a lattice, based upon barycentric coordinates, enables us to construct lattice points in a simple and numerically stable way. Further, this representation carries over to triangulations in a natural way. The construction is based upon group action of S3 on triangle vertices, and it is shown that the number of degrees of freedom is equal to the number of vertices of the triangulation.