Next Article in Journal
Optimal Conformity Design of Tibial Insert Component Based on ISO Standard Wear Test Using Finite Element Analysis and Surrogate Model
Next Article in Special Issue
Cross-Project Defect Prediction Considering Multiple Data Distribution Simultaneously
Previous Article in Journal
Effective Hamiltonians in Nonrelativistic Quantum Electrodynamics
Previous Article in Special Issue
Software Defect Prediction Using Wrapper Feature Selection Based on Dynamic Re-Ranking Strategy
 
 
Article

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

1
Department of Geographic Engineering and Graphical Expression Techniques, Universidad de Cantabria, 39005 Santander, Spain
2
Spotify, London WC2N 6AT, UK
*
Author to whom correspondence should be addressed.
Academic Editor: SeongKi Kim
Symmetry 2021, 13(12), 2376; https://doi.org/10.3390/sym13122376
Received: 30 October 2021 / Revised: 1 December 2021 / Accepted: 6 December 2021 / Published: 9 December 2021
(This article belongs to the Special Issue Recent Advances in Software for Symmetry)
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. View Full-Text
Keywords: notation; tessellations; tilings; n-uniform; polygons; symmetry notation; tessellations; tilings; n-uniform; polygons; symmetry
Show Figures

Figure 1

MDPI and ACS Style

Gomez-Jauregui, V.; Hogg, H.; Manchado, C.; Otero, C. GomJau-Hogg’s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0. Symmetry 2021, 13, 2376. https://doi.org/10.3390/sym13122376

AMA Style

Gomez-Jauregui V, Hogg H, Manchado C, Otero C. GomJau-Hogg’s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0. Symmetry. 2021; 13(12):2376. https://doi.org/10.3390/sym13122376

Chicago/Turabian Style

Gomez-Jauregui, Valentin, Harrison Hogg, Cristina Manchado, and Cesar Otero. 2021. "GomJau-Hogg’s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0" Symmetry 13, no. 12: 2376. https://doi.org/10.3390/sym13122376

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop