1. Biped uses Quaternion rotation to control an animation in the Curve Editor by default

2. Only the functions 'sqr ' and 'cube ' are defined in the quaternion algebra

3. The generalized quaternion groups have the property that every abelian subgroup is cyclic.

4. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields

5. Unlike the quaternion algebra, the split-quaternions contain nontrivial zero divisors, nilpotent elements, and idempotents.

6. The 'Complex projective contact manifolds' (Contact manifolds) project is working to classify complex projective contact Fano manifolds and quaternion-Kähler manifolds with positive scalar curvature.

7. Considered with the operations of component-wise addition, and multiplication according to the quaternion group, this collection forms a 4-dimensional algebra over the complex numbers C.