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A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES

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Given an integer n ≥ 2 and a digit set ????⊂{0, 1,…,n − 1}2, there is a self-similar set K ⊂ ℝ2 satisfying the set equation K = (K +… Click to show full abstract

Given an integer n ≥ 2 and a digit set ????⊂{0, 1,…,n − 1}2, there is a self-similar set K ⊂ ℝ2 satisfying the set equation K = (K + ????)/n. This set K is called a fractal square. By studying the line s...

Keywords: topological hausdorff; hausdorff dimension; bound topological; lower bound; dimension fractal; fractal squares

Journal Title: Fractals
Year Published: 2020

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