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 commun...
| Authors: | , , , |
|---|---|
| Format: | article |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universidad de Cantabria (UC) |
| Repository: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Language: | English |
| OAI Identifier: | oai:repositorio.unican.es:10902/23907 |
| Online Access: | http://hdl.handle.net/10902/23907 |
| Access Level: | Open access |
| Keyword: | Notation Tessellations Tilings n-uniform Polygons Symmetry |
| Summary: | 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. |
|---|