Coincidences in numbers of graph vertices corresponding to regular planar hyperbolic mosaics
classification
🧮 math.MG
math.NT
keywords
hyperbolicmosaicsregularcertaincoincidencescorrespondingdeterminediophantine
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The aim of this paper is to determine the elements which are in two pairs of sequences linked to the regular mosaics $\{4,5\}$ and $\{p,q\}$ on the hyperbolic plane. The problem leads to the solution of diophantine equations of certain types.
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