@Jonathan_Blow I read your article on Nlerp > Slerp. What is meant by commutativity? Isn’t 3D-rotation non-commutative? (cc @cmuratori)
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Replying to @pnutus
@pnutus@Jonathan_Blow These terms get a little sloppy sometimes.1 reply 0 retweets 0 likes -
Replying to @cmuratori
@pnutus@Jonathan_Blow The idea is that you can do n-way composites, since there _is no order dependence_.1 reply 0 retweets 0 likes -
Replying to @cmuratori
@pnutus@Jonathan_Blow "Rotation" is order dependent in that the conceptual way you rotate things has an order.1 reply 0 retweets 0 likes -
Replying to @cmuratori
@pnutus@Jonathan_Blow But there is nothing that stops you from making an _operator_ that can "blend" multiple orientations order-free.1 reply 0 retweets 0 likes -
Replying to @cmuratori
@pnutus@Jonathan_Blow That is what nlerp is. It can combine n orientations without regard to their order and produce a reasonable result.1 reply 0 retweets 0 likes -
Replying to @cmuratori
@cmuratori@Jonathan_Blow Right. I imagine unit vectors pointing in different directions and letting the resulting vector be their average2 replies 0 retweets 0 likes
@pnutus @Jonathan_Blow That's basically it, yes.
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