4 ms·

I wonder if this has anything to do with the 4D game that he is working on. Do quaternions work in 4D space?

• gliese1337 7y ago
  Yes, it does; and no, they don't.
  • cygx 7y ago
    But they do? A 4d rotation can be decomposed into a left-isoclinic and right-isoclinic rotation, which in turn can be represented by left- and right-multiplication with unit quaternions.
    • gliese1337 7y ago
      That's hardly the most straightforward or intuitive decomposition. In particular, it makes simple monoplanar rotations overly complicated, in exchange for making isoclinic rotations super simple--while rotors handle monoplanar rotations entirely naturally, with an obvious extension to isoclinic rotations. And monoplanar rotations are a much nicer primitive to work with.