- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- Quaternionic and Dual Quaternionic Darboux Ruled Surfaces
Quaternionic and Dual Quaternionic Darboux Ruled Surfaces
Authors : Abdussamet ÇALIŞKAN
Pages : 106-114
Doi:10.47000/tjmcs.858793
View : 4 | Download : 1
Publication Date : 2021-06-30
Article Type : Research
Abstract :In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.Keywords : Darboux vector, distribution parameter, dual spherical curve, dual angle of pitch, quaternion, spatial quaternion, ruled surface.