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

October 06, 2024 · The Ethereal · + Add venue

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Authors Diego Vazquez Gonzalez, Hsing-Kuo Pao arXiv ID 2410.04611 Category cs.DM: Discrete Mathematics Cross-listed cs.DS, math.GR Citations 0 Last Checked 5 months ago
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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