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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 1

Motions on curves and surfaces using geometric algebra

Selahattin Aslan(ANKARA UNIVERSITY)0000-0001-5322-3265
Yusuf Yaylı(ANKARA UNIVERSITY)0000-0003-4398-3855
Pages
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Publication Date
2022-03-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Geometric algebra is a useful tool to overcome some problems in kinematics.
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Key Findings & Data:In this paper, quaternion operators on curves and surfaces in Euclidean 3-space are defined by using geometric algebra.
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Conclusion & Impact:Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geometric algebra · curves · surfaces

Abstract

Geometric algebra is a useful tool to overcome some problems in kinematics. Thus, the geometric algebra has attracted the attention of many researchers. In this paper, quaternion operators on curves and surfaces in Euclidean 3-space are defined by using geometric algebra. These operators generate the curves or the surfaces from the points, curves or surfaces. Using quaternion operators, we obtain motions that have orbits along the generated curve or surface. Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.

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Cite This Article

Aslan, S., Yaylı, Y. (2022). Motions on curves and surfaces using geometric algebra. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 1. https://doi.org/10.31801/cfsuasmas.878766

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