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Act of CVT and EVT In The Formation of Number-Theoretic Fractals

2009/03/27 by Pabitra, Pal Choudhury, Sudhakar Sahoo, Sudhakar, Sahoo +2
Computer Science · #Algorithms and Data Compression #Cellular Automata and Applications #Computability, Logic, AI Algorithms #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences

paper · pdf · doi:10.48550/arxiv.0903.4770

openalex publication_date 2009/03/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we have defined two functions that have been used to construct different fractals having fractal dimensions between 1 and 2. More precisely, we can say that one of our defined functions produce the fractals whose fractal dimension lies in [1.58, 2) and rest function produce the fractals whose fractal dimension lies in (1, 1.58]. Also we tried to calculate the amount of increment of fractal dimension in accordance with base of the number systems. And in switching of fractals from one base to another, the increment of fractal dimension is constant, which is 1.58, its quite surprising!

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