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

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

 Authorship: Gomez-Jauregui V., Hogg H., Manchado C., Otero C.,

 Fuente: Symmetry 2021, 13, 12,

Publisher: MDPI

 Year of publication: 2021

No. of pages: 18

Publication type: Article

 DOI: 10.3390/sym13122376

ISSN: 2073-8994

Publication Url: https://doi.org/10.3390/sym13122376