A census of vertices by generations in regular tessellations of the plane.
Paul, Alice, Pippenger, Nicholas (2011)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “The isogonal sponges on the cubic lattice.”
A census of vertices by generations in regular tessellations of the plane.
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We deal with two types of buildups of 3-configurations: a generating buildup over a given edge set and a regulated one (according to maximal relative degrees of vertices over a penetrable set of vertices). Then we take account to minimal generating edge sets, i.e., to edge bases. We also deduce the fundamental relation between the numbers of all vertices, of all edges from edge basis and of all terminal elements. The topic is parallel to a certain part of Belousov' “Configurations...