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arXiv · 2412.09728

Egyptian fractions meet the Sierpinski triangle

Laura De Carli·Andrew Echezabal·Ismael Morell
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Abstract

We explore a novel link between two seemingly disparate mathematical concepts: Egyptian fractions and fractals. By examining the decomposition of rationals into sums of distinct unit fractions, a practice rooted in ancient Egyptian mathematics, and the arithmetic operations that can be performed using this decomposition, we uncover fractal structures that emerge from these representations.

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Laura De Carli, Andrew Echezabal, Ismael Morell. 2024-12-12. Egyptian fractions meet the Sierpinski triangle. https://arxiv.org/abs/2412.09728

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