Concentric Cycles in Mosaic Graphs

Heiko Harborth

A chapter in Applications of Fibonacci Numbers, 1990, pp 123-128 from Springer

Abstract: Abstract Mosaic graphs, such as the plane representations of the five platonic solids or the three regular and the hyperbolic tesselations of the plane, often are connected with problems in group theory, geometry and especially hyperbolic geometry (see [1], [2]). However, simple combinatorial enumeration problems for mosaic graphs do not seem to have been treated very often in the mathematical literature. In this paper formulas for the numbers of vertices and cells on concentric cycles of (p,q)-tesselations shall be developed.

Date: 1990
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DOI: 10.1007/978-94-009-1910-5_13

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