The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis
Discrete Mathematics
2024-11-05 v3 Data Structures and Algorithms
Group Theory
Abstract
In this research, we introduce an algorithm that produces what appears to be a new mathematical object as a consequence of projecting the -dimensional -curve onto an -dimensional sphere. The first part presents the algorithm that enables this transformation, and the second part focuses on studying its properties.
Cite
@article{arxiv.2410.04611,
title = {The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis},
author = {Diego Vazquez Gonzalez and Hsing-Kuo Pao},
journal= {arXiv preprint arXiv:2410.04611},
year = {2024}
}