Title:	A New Deterministic Gasket Fractal Based on Ball Sets
Authors:	Soto-Villalobos, Roberto Benavides-Bravo, Francisco Gerardo Hueyotl-Zahuantitla, Filiberto Aguirre-López, Mario A.
Citation:	WSCG 2023: full papers proceedings: 1. International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, p. 306-314.
Issue Date:	2023
Publisher:	Václav Skala - UNION Agency
Document type:	konferenční příspěvek conferenceObject
URI:	http://hdl.handle.net/11025/54438
ISBN:	978-80-86943-32-9
ISSN:	2464–4617 (print) 2464–4625 (CD/DVD)
Keywords:	fraktální těsnění;n-sféra;iterované funkční systémy;box- counting dimenze;dynamická geometrie;perkolace
Keywords in different language:	gasket fractal;n-sphere;iterated function systems;box-counting dimension;dynamical geometry;percolation
Abstract in different language:	In this paper, we propose a new gasket fractal constructed in a deterministic iterated function system (IFS) way by means of interacting ball and square sets in R 2 . The gasket consists of the ball sets generated by the IFS, possessing also exact self-similarity. All this leads to a direct deduction of other properties and a clear construction methodology, including a dynamic geometry procedure with an open-source construction protocol. We also develop an extended version of the fractal in Rn. Some resulting config urations consisting of stacked 2D-fractals are plotted. We discuss about potential applications of them in some areas of science, focusing mainly on percolation models. Guidelines for future work are also provided.
Rights:	© Václav Skala - UNION Agency
Appears in Collections:	WSCG 2023: Full Papers Proceedings

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