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Fractal Rep Tiles Of „ 2 And „ 3 Using Integer Matrices

Author

Listed:
  • 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)

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.

Suggested Citation

  • Akhlaq Husain & Karthik Gomada & Manogna Megham & Seemakurthi Asish, 2021. "Fractal Rep Tiles Of „ 2 And „ 3 Using Integer Matrices," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-20, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500274
    DOI: 10.1142/S0218348X21500274
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