Obtaining Triplet from Quaternions

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DOI:

https://doi.org/10.11121/ijocta.01.2021.00855

Abstract

In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions. Quaternions, in many areas, it allows ease in calculations and geometric representation. Quaternions are four dimensions. The triplets are in three dimensions. When we express quaternions with triplets, our work is made even easier. Quaternions are very important in the display of rotational movements. Dual quaternions are important in the expression of screw movements. Reducing movements from four dimensions to three dimensions makes our work easier. This simplicity is achieved by obtaining triplets from quaternions.

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Author Biographies

Ali Atasoy, Keskin Vocational School, Kırıkkale University, Turkey

received his undergraduate degree in mathematics education from the Ankara University in 1995. He has completed his M.Sc. at Ankara University and Ph.D. degree at Dumlupınar University in geometry. He has been working as a faculty member at Keskin Vocational School, Kırıkkale University. His research areas are quaternions and their applications.

Yusuf Yaylı, Department of Mathematics, Ankara University, Turkey

received his undergraduate degree in 1983 from İnönü University in mathematics. He has completed his M.Sc. and Ph.D. degrees at Gazi University. He has been working as Professor at the Department of Mathematics, Ankara University. His research areas are quaternions and differential geometry.

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Published

2021-01-28
CITATION
DOI: 10.11121/ijocta.01.2021.00855
Published: 2021-01-28

How to Cite

Atasoy, A., & Yaylı, Y. (2021). Obtaining Triplet from Quaternions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(1), 109–113. https://doi.org/10.11121/ijocta.01.2021.00855

Issue

Vol. 11 No. 1 (2021): IJOCTA

Section

Research Articles

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Copyright (c) 2021 Ali Atasoy, Yusuf Yayl?

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