Let's remove Quaternions from every 3D Engine

Re:Let's remove Quaternions from every 3D Engine by nanofortnight on Friday November 02, 2018 @05:50PM (#18367054)

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.

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Re:Let's remove Quaternions from every 3D Engine by MerryMage on Friday November 02, 2018 @06:08PM (#18367150)

Yes.

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

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Re:Let's remove Quaternions from every 3D Engine by enriquto on Friday November 02, 2018 @06:37PM (#18367293)

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

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Re:Let's remove Quaternions from every 3D Engine by glenneroo on Friday November 02, 2018 @11:16PM (#18368477)

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

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