FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES-Reference-Cited by-同舟云学术

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FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES

Published:2021-03 Issue:02 Volume:29 Page:2150027
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

HUSAIN AKHLAQ¹^ORCID,GOMADA KARTHIK²,MEGHAM MANOGNA²,ASISH SEEMAKURTHI²

Affiliation:

1. Department of Applied Sciences, BML Munjal University, Gurgaon 122413, Haryana, India

2. School of Engineering and Technology, BML Munjal University, Gurgaon 122413, Haryana, India

Abstract

This paper is devoted to the study of self-similar fractal rep tiles of the Euclidean planes [Formula: see text] and [Formula: see text] using integer matrices. We construct many examples appearing in the literature, as well as new examples by integer matrices. Several exotic and radially symmetric self-similar rep tiles and their variations are obtained with change of bases extending the work by Bandt and others. We also present a few examples of polyhedral self-similar rep tiles including variations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21500274

Reference37 articles.

1. Rep-tiling Euclidean space

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractals: An Eclectic Survey, Part-I;Fractal and Fractional;2022-02-06

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