{"title":"Triangular Automata: The 256 Elementary Cellular Automata of the 2D Plane","authors":"Paul Cousin","doi":"arxiv-2309.15795","DOIUrl":null,"url":null,"abstract":"Triangular Automata (TA) stands for cellular automata in the triangular grid.\nThis work focuses on the simplest type of TA called Elementary Triangular\nAutomata (ETA). They are argued to be the two-dimensional counterpart of\nWolfram's Elementary Cellular Automata. Conceptual and computational tools for\ntheir study are presented along with an initial analysis. The paper is\naccompanied by a website where the results can be explored interactively. The\nsource code is available in the form of a Mathematica package.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Cellular Automata and Lattice Gases","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2309.15795","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Triangular Automata (TA) stands for cellular automata in the triangular grid.
This work focuses on the simplest type of TA called Elementary Triangular
Automata (ETA). They are argued to be the two-dimensional counterpart of
Wolfram's Elementary Cellular Automata. Conceptual and computational tools for
their study are presented along with an initial analysis. The paper is
accompanied by a website where the results can be explored interactively. The
source code is available in the form of a Mathematica package.
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