Autor:	Roldan, Erika, Toala-Enriquez, Rosemberg
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics 00A69 05A16 05A20 05B50 52B60 52C05 05C07 05C10 52C20 05D99
Druh dokumentu:	Working Paper
Popis:	An animal is a planar shape formed by attaching congruent regular polygons along their edges. In 1976, Harary and Harborth gave closed isoperimetric formulas for Euclidean animals. Here, we provide analogous formulas for hyperbolic animals. We do this by proving a connection between Sturmian words and the parameters of a discrete analogue of balls in the graph determined by hyperbolic tessellations. This reveals a complexity in hyperbolic animals that is not present in Euclidean animals. Comment: 16 pages, 2 figures, 3 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.14910 Zobrazit plný text záznamu View this record from Arxiv