List All News Articles# Department of Mathematics - Research Spotlight

Published Date: **Wednesday, 31 March 2021**

Research Article: “Distance on the Cairo pattern" - Elsevier — 7 February 2021

Authors: Prof. Dr. BENEDEK NAGY, Dr. NEŞET DENİZ TURGAY, Prof. Dr. GERGELY KOVÁCS

“The Cairo pattern is a dual of a semiregular tiling of the plane; its name reflects the fact that various streets in Cairo are paved in this way. The cells of this grid are identical pentagons which are put in four different orientations. In this paper we present a coordinate system addressing the cells of the grid. Also a neighborhood relation and the concept of lanes are defined by the help of the coordinates. We prove a formula for the digital (path based) distance between any two pentagons where the paths are based on the steps to neighbor pentagons."

For more information: https://tinyurl.com/5azhvcb5