2 papers
math.NT2025
On the Sierpinski triangle and its generalizations
L. De Carli, A. Echezabal, I. Morell
By examining arithmetic operations between decimal numbers in a given base m we uncover fractal structures that generalize the Sierpinski triangle
math.NT2024
Egyptian fractions meet the Sierpinski triangle
Laura De Carli, Andrew Echezabal, Ismael Morell
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 un…