scaling -> real numbers
2d rotations and scaling -> complex numbers
3d rotations and scaling -> quaternions
In the case of quaternions, there is called double-covering, which turns out (rather than being an artefact), play fundamental role in particle physics.
scaling -> real numbers
2d rotations and scaling -> complex numbers
3d rotations and scaling -> quaternions
In the case of quaternions, there is called double-covering, which turns out (rather than being an artefact), play fundamental role in particle physics.