Symbolized by a blackboard H, they areoften used to implement three-dimensional rotations.
These entities can be used in a form of interpolation called slerping. Every finite p-group that has everyabelian subgroup cyclic is either itself cyclic or is a generalized group of these entities, and the dicyclic groupof order two is isomorphic to the group of them. The factor group of the group of these entities with theircenter is isomorphic to the Klein four-group. Those with norm one are called versors, and these entitiesfollow the complex numbers in the (*) Cayley-Dickson construction. Symbolized by a blackboard H, they areoften used to implement three-dimensional rotations. They consist of three elements, i, j, and k, whose square isnegative one and whose products with each other are anticommutative. For 10 points, name this four-dimensionalnumber system created by Hamilton.
These entities can be used in a form of interpolation called slerping.
quaternion