Egyptian fractions meet the Sierpinski triangle
Number Theory
2024-12-16 v1
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.
Cite
@article{arxiv.2412.09728,
title = {Egyptian fractions meet the Sierpinski triangle},
author = {Laura De Carli and Andrew Echezabal and Ismael Morell},
journal= {arXiv preprint arXiv:2412.09728},
year = {2024}
}