The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis
<|reference_start|>The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis: In this research, we introduce what seems to be a new mathematical object resulting from projecting the $n$-dimensional $Z$-curve onto an $n$-dimensional sphere. The first part presents the algorithm that enables this transition, and the second part focuses on studying the properties of the resulting object.<|reference_end|>
@article{gonzalez2024the,
    title={The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis},
    author={Diego Vazquez Gonzalez, Hsing-Kuo Pao},
    journal={arXiv preprint arXiv:2410.04611},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.04611},
    primaryClass={cs.DM cs.DS math.GR}
}