A new system of coordinates for the tilings $\{p,3\}$ and $\{p$$-$$2,4\}$

TL;DR

This paper introduces a novel coordinate system for tilings {p,3} and {p-2,4} with p  p  7, enhancing the way tiles are identified and analyzed.

Contribution

The paper proposes a new coordinate framework specifically designed for the tilings {p,3} and {p-2,4}, which was not previously available.

Findings

Introduces a coordinate system for {p,3} and {p-2,4} tilings.

Applicable for all p  p  7.

Facilitates analysis and classification of tilings.

Abstract

In this paper, we indicate a new way to define coordinates for the tiles of the tilings $\{p,3\}$ and $\{p$$-$$2,4\}$ where the natural number $p$ satisfies $p\geq 7$.