On Spatial Quaternionic b-lift Curves

This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves. Furthermore, we defined the spatial quaternionic b-lift curve and characterized of Frenet fields. Afterward, we found the curvatures of the b-lift curve and using them we obtained a result between the quaternionic slant helix and quaternionic general helix. Finally, we consolidated our results with an example and visualized our curves with the MATLAB program.