Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09728 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909425729536000 |
|---|---|
| author | De Carli, Laura Echezabal, Andrew Morell, Ismael |
| author_facet | De Carli, Laura Echezabal, Andrew Morell, Ismael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09728 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Egyptian fractions meet the Sierpinski triangle De Carli, Laura Echezabal, Andrew Morell, Ismael Number Theory 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. |
| title | Egyptian fractions meet the Sierpinski triangle |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.09728 |