[nanofortnight]

Yes, it does, because it is an identical representation to quaternions. Except it actually explains all the weirdness in quaternions without resorting to 4-space.

This is because quaternions are a subalgebra of geometric algebra in 3-space.

[MerryMage]

Yes.

You can prove, for two rotors R1 and R2, that slerp(R1, R2, t) = R1 (R1^-1 R2)^t.

[enriquto]

there is nothing weird about 4-space, what do you mean?

[glenneroo]

Re-read what you are replying to - they didn't say 4D-space is weird but rather that quaternions are weird:

> all the weirdness in quaternions without resorting to 4-space