Makale detayı · 2024
Characterizations of Spatial Quaternionic Partner-Ruled Surfaces
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- 2024
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In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product. Furthermore, the pitches and angles of pitches are interpreted for the spatial quaternionic ruled surfaces that are closed. Additionally, we calculate the integral invariants of these surfaces using quaternionic formulas. Finally, the partner-ruled surfaces of a given spatial quaternionic ruled surface are demonstrated as an example, and their graphics are drawn.
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Yerel katalogda bu makaleye atıf yapan 8 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions 2025
- Superelliptic Quaternion Structures for Curve and Surface Generation in Differential Geometry 2026
- Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space 2026
- Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space 2026
- DEVELOPABILITY OF RULED SURFACES GENERATED BY CURVES AT A CONSTANT DISTANCE FROM THE NON-NULL CURVE 2025