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Yeah, quaternions didn't seem that exceptional, "just" the generalization to rotations in 3D, but Geometric Algebra did get me excited because I finally managed
by BlueTemplar 6y ago
Yeah, quaternions didn't seem that exceptional, "just" the generalization to rotations in 3D, but Geometric Algebra did get me excited because I finally managed to understand what was the whole deal with those weird "pseudo-vectors"...
https://www.av8n.com/physics/clifford-intro.htm https://www.av8n.com/physics/clifford-intro.htm
- andi999 6y agoYour link does not explain rotation with Clifford algebra (except 90 degree rotations)
- BlueTemplar 6y agoYeah there's a whole dedicated webpage about that : https://www.av8n.com/physics/rotations.htm https://www.av8n.com/physics/rotations.htm > In this document, we discuss rotations, including simple rotations in the plane but also including compound rotations around multiple axes in three or more dimensions. We briefly survey four ways of pictorially representing rotations: two vectors in the plane of rotation, triad before and after rotation, axis plus amount of rotation, and yaw/pitch/roll. These can (respectively) be formalized in terms of (respectively) Clifford algebra i.e. quaternions, matrices, Rodrigues vectors, and Euler angles.