Turkish Journal of Mathematics
Abstract
In this paper, we define multiplicative dual numbers, multiplicative dual vectors, scalars, and vector products associated with the multiplicative dual numbers. We give the base elements of multiplicative dual elliptic quaternions and their operational properties. We explain the rotation and translation motions in multiplicative dual elliptical quaternions. We provide the matrix representations of the screw motion using multiplicative dual elliptical quaternions. Thanks to these multiplicative dual elliptical quaternions, we explain the screw motion along with rotation and translation with theorems and proofs. We visualize this screw motion with mathematical programs by applying screw-ruled surfaces.
DOI
10.55730/1300-0098.3654
Keywords
Multiplicative dual number, multiplicative dual elliptical quaternion, multiplicative screw motion, screw-ruled surface
First Page
332
Last Page
350
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
PARLAK, E, & ÖZDEMİR, Z (2026). A non-Newtonian approach to screw motion and dual numbers. Turkish Journal of Mathematics 50 (2): 332-350. https://doi.org/10.55730/1300-0098.3654
