Egyptian fractions meet the Sierpinski triangle

Autor:	De Carli, Laura, Echezabal, Andrew, Morell, Ismael
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.09728 Zobrazit plný text záznamu View this record from Arxiv