Five-Collinear Sierpinski Gasket is Not Self-Similar

2015/04/26 by Sheng Zhang, Zhang, Sheng
Mathematics · Neuroscience · #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Neuroscience and Neuropharmacology Research

paper · pdf · doi:10.48550/arxiv.1504.06801

openalex publication_date 2015/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A geometrical conclusion: Sierpinski gasket, two Sierpinski gaskets in a line, three Sierpinski gaskets in a line, and four Sierpinski gaskets in a line are self-similar, but five Sierpinski gaskets in a line is not, which is proved in this paper.

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