FRACTAL REP TILES OF â„ 2 AND â„ 3 USING INTEGER MATRICES

Akhlaq Husain, Karthik Gomada (), Manogna Megham () and Seemakurthi Asish ()
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Akhlaq Husain: Department of Applied Sciences, BML Munjal University, Gurgaon 122413, Haryana, India
Karthik Gomada: ��School of Engineering and Technology, BML Munjal University, Gurgaon 122413, Haryana, India
Manogna Megham: ��School of Engineering and Technology, BML Munjal University, Gurgaon 122413, Haryana, India
Seemakurthi Asish: ��School of Engineering and Technology, BML Munjal University, Gurgaon 122413, Haryana, India

FRACTALS (fractals), 2021, vol. 29, issue 02, 1-20

Abstract: This paper is devoted to the study of self-similar fractal rep tiles of the Euclidean planes â„ 2 and â„ 3 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.

Keywords: Fractals; Rep Tiles; Integer Matrices; Self-Similar; Iterated Function Systems; Polyhedral Rep Tiles (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500274

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