2024/12/12 by Laura De Carli, De Carli, Laura, Andrew Echezabal +3
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2412.09728
openalex publication_date 2024/12/12 · openalex created_date 2025/11/01 · openalex updated_date 2026/07/28
We explore a novel link between two seemingly disparate mathematical\nconcepts: Egyptian fractions and fractals. By examining the decomposition of\nrationals into sums of distinct unit fractions, a practice rooted in ancient\nEgyptian mathematics, and the arithmetic operations that can be performed using\nthis decomposition, we uncover fractal structures that emerge from these\nrepresentations.\n