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A comment on Quaternion Knowledge Graph Embeddings. Parent comment

Re:Quaternion Knowledge Graph Embeddings by pinkmuffinere on Thursday April 25, 2024 @03:52AM (#40154679)
As a concrete example, feedback controllers for attitude control (ie, pointing something) are imo easier to develop in quarternions than with 3x3 matrices. For one, the quaternion formulation isn’t over-constrained by the extra parameters.

This is essentially because quaternions are a remarkably good representation of rotations.

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Re:Quaternion Knowledge Graph Embeddings by TeMPOraL on Thursday April 25, 2024 @07:18AM (#40156045)
Related, 3D math is done with 4x4 matrices, not 3x3 as the "3D" would make someone think, because you need that extra dimension to represent translations in matrix form, and once you do that, you can compose arbitrary transforms through multiplication.
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