The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912104060026880 |
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| author | Gonzalez, Diego Vazquez Pao, Hsing-Kuo |
| author_facet | Gonzalez, Diego Vazquez Pao, Hsing-Kuo |
| contents | In this research, we introduce an algorithm that produces what appears to be a new mathematical object as a consequence of projecting the \( n \)-dimensional \( Z \)-curve onto an \( n \)-dimensional sphere. The first part presents the algorithm that enables this transformation, and the second part focuses on studying its properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04611 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis Gonzalez, Diego Vazquez Pao, Hsing-Kuo Discrete Mathematics Data Structures and Algorithms Group Theory In this research, we introduce an algorithm that produces what appears to be a new mathematical object as a consequence of projecting the \( n \)-dimensional \( Z \)-curve onto an \( n \)-dimensional sphere. The first part presents the algorithm that enables this transformation, and the second part focuses on studying its properties. |
| title | The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis |
| topic | Discrete Mathematics Data Structures and Algorithms Group Theory |
| url | https://arxiv.org/abs/2410.04611 |