Bekar, MuratYayli, Yusuf2024-02-232024-02-2320161312-51921314-5673https://doi.org/10.7546/jgsp-41-2016-1-16https://hdl.handle.net/20.500.12452/17142Involutions are self-inverse and homomorphic linear mappings. Rotations, reflections and rigid-body (screw) motions in three-dimensional Euclidean space R-3 can be represented by involution mappings obtained by quaternions. For example, a reflection of a vector in a plane can be represented by an involution mapping obtained by real-quaternions, while a reflection of a line about a line can be represented by an involution mapping obtained by dual-quaternions. In this paper, we will consider two involution mappings obtained by semi-quternions, and a geometric interpretation of each as a planar-motion in R-3.eninfo:eu-repo/semantics/openAccessDual-QuaternionsInvolutionsPlanar-MotionSemi-QuaternionsArticle411162-s2.0-84995673089Q3WOS:00041889340000110.7546/jgsp-41-2016-1-16