GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0

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URI: http://hdl.handle.net/10902/23907
ISSN: 2073-8994
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Autoría
Gómez Jáuregui, ValentínAutoridad Unican; Hogg, Harrison; Manchado del Val, CristinaAutoridad Unican; Otero González, César AntonioAutoridad Unican
Fecha
2021
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Attribution 4.0 International. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Publicado en
Symmetry 2021, 13, 12,
Editorial
MDPI
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Palabras clave
Notation
Tessellations
Tilings
n-uniform
Polygons
Symmetry
Resumen/Abstract
ABSTRACT: Euclidean tilings are constantly applied to many fields of engineering (mechanical, civil, chemical, etc.). These tessellations are usually named after Cundy & Rollett’s notation. However, this notation has two main problems related to ambiguous conformation and uniqueness. This communication explains the GomJau-Hogg’s notation for generating all the regular, semi-regular (uniform) and demi-regular (k-uniform, up to at least k = 3) in a consistent, unique and unequivocal manner. Moreover, it presents Antwerp v3.0, a free online application, which is publicly shared to prove that all the basic tilings can be obtained directly from the GomJau-Hogg’s notation.
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Attribution 4.0 International. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution 4.0 International. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.