Quaternions: 3D too simple? Can't figure out how to translate objects in 3-space? Invent another dimension! If you enjoy this sort of obscene math porno, here'

Quaternions: 3D too simple? Can't figure out how to translate objects in 3-space? Invent another dimension! If you enjoy this sort of obscene math porno, here's some related quaternion math and curves applied to CNC routing (PDF): https://faculty.engineering.ucdavis.edu/farouki/wp-content/uploads/sites/41/2013/02/Introduction-to-PH-curves.pdf https://faculty.engineering.ucdavis.edu/farouki/wp-content/u...