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Self-similar space-filling packings in three dimensions

2003/12/14 by R. Mahmoodi Baram, Reza Mahmoodi Baram, Hans J. Herrmann +2
Computer Science · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0312345

17 pages, 13 figures, submitted to Fractals

arxiv created 2003/12/14 · openalex publication_date 2003/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop an algorithm to construct new self-similar space-filling packings of spheres. Each topologically different configuration is characterized by its own fractal dimension. We also find the first bi-cromatic packing known up to now.

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