Euclidean tilings by convex regular polygons: Difference between revisions

Revision as of 22:23, 29 December 2021

Revision as of 12:23, 1 January 2022

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In order to solve those problems, GomJau-Hogg’s notation <ref>{{cite journal |last1=Gomez-Jauregui |first1=Valentin |last2=Hogg |first2=Harrison|display-authors=etal |title=GomJau-Hogg’s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0 |journal=Symmetry |date=2021 |volume=13 |issue=12 |doi=10.3390/sym13122376 |url=https://doi.org/10.3390/sym13122376}}</ref> is a slightly modified version of the research and notation presented in 2012,<ref name="Gomez-Jauregui 2012" /> about the generation and nomenclature of tessellations and double-layer grids. Antwerp v3.0,<ref>{{cite web |last1=Hogg |first1=Harrison |last2=Gomez-Jauregui |first2=Valentin |title=Antwerp 3.0 |url=https://antwerp.hogg.io/<}}</ref> a free online application, allows for the infinite generation of regular polygon tilings through a set of shape placement stages and iterative rotation and reflection operations, obtained directly from the GomJau-Hogg’s notation.

[[File:Generation of k-uniform tiling after GomJau-Hogg notation.gif|thumb|upright=3|center|Animated generation of 3-uniform tiling after GomJau-Hogg notation 4-3-3-0,4/r90/r(h3), originally 3³.4²; 3².4.3.4; 4⁴ with Cundy & Rollet's notation]]

== Regular tilings ==