Moran subsets of discrete Sierpinski gasket

Caimin Du, Yiqi Yao and Lifeng Xi

Chaos, Solitons & Fractals, 2025, vol. 190, issue C

Abstract: The Sierpinski gasket is a classical self-similar fractal on R2. For the discrete Sierpinski gasket on Z2, we study its Moran subsets inspired by Wen’s work, and obtain their fractal dimensions including mass dimension, Hausdorff dimension, packing dimension and entropy index.

Keywords: Fractal; Discrete Moran set; Fractal dimension of discrete sets (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:190:y:2025:i:c:s0960077924013158

DOI: 10.1016/j.chaos.2024.115763

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