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We consider regular tessellations of the plane as infinite graphs in which $q$ edges and $q$ faces meet at each vertex, and in which $p$ edges and $p$ vertices surround each face. For ${1/p + 1/q = 1/2}$, these are tilings of the Euclidean plane; for ${1/p + 1/q

A Census of Vertices by Generations in Regular Tessellations of the Plane