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arXiv · 2410.04611

The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis

Diego Vazquez Gonzalez·Hsing-Kuo Pao
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Abstract

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.

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Diego Vazquez Gonzalez, Hsing-Kuo Pao. 2024-10-06. The $Z$-Curve as an $n$-Dimensional Hypersphere: Properties and Analysis. https://arxiv.org/abs/2410.04611

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