Enumeration of Vertices, Edges and Polygons in Tessellations of the Plane
نویسندگان
چکیده
In this work, we consider the tessellations (or tilings) of Euclidean and hyperbolic planes using copies of a regular polygon. We introduce the concept of k-type of vertices and edges, which allow a thorough control of these elements when the tessellation increases, and we obtain an enumeration for the vertices, edges, and polygons at a given distance. Partially funded by a grant from Fapesp (2014/25463-6).
منابع مشابه
On the behavior of growth of polygons in semi-regular hyperbolic tessellations
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