Article detail · 2024
Characterizations of Spatial Quaternionic Partner-Ruled Surfaces
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- 2024
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- article
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Abstract
OpenAlex · English
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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Citations
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7 citations
OpenAlex cited_by_count (cache / database)
8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Simultaneous characterizations of alternative partner-ruled surfaces 2025
- On the characterisations of ruled surface pairs according to the Sabban frame 2025
- Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space 2025
- 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