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Dergiler / 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
Sayfa
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Yayın Tarihi
2022-03-30
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Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Geometric algebra is a useful tool to overcome some problems in kinematics.
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Temel Bulgular & Veri:In this paper, quaternion operators on curves and surfaces in Euclidean 3-space are defined by using geometric algebra.
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Sonuç & Katkı:Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (20)

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