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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Enumeration of Vertices, Edges and Polygons in Tessellations of the Plane

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Author(s):
Firer, Marcelo [1] ; Couto, Karine Bobadilha [2] ; da Silva, Eduardo Brandani [3]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Fatec Catanduva, Rua Maranhao 898, BR-15800020 Catanduva, SP - Brazil
[3] Univ Estadual Maringa, Dept Math, Ave Colombo 5790, Maringa, Parana - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF INTEGER SEQUENCES; v. 20, n. 10 2017.
Web of Science Citations: 1
Abstract

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. (AU)

FAPESP's process: 14/25463-6 - Tessellation and constellations in the hyperbolic plane and applications to topological quantum coding
Grantee:Marcelo Firer
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil