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sudgylacmoe | The Grade Involution @sudgylacmoe | Uploaded March 2024 | Updated October 2024, 2 hours ago.
This short is about the grade involution, a neat little operation used in geometric algebra. It can make many expressions and equations much simpler. While I've mentioned it in a video before, it was deep in a particularly dry video, so I thought I would make a short that talks just about it.

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The Grade InvolutionBases of BasesUsing the Fibonacci Series for Unit ConversionsAre Geometric and Exterior Algebra Isomorphic?Calculating the Invariant Decomposition in 3D PGAHow to Exponentiate BivectorsThe Limits of the Cartan-Dieudonné Theorem (Part 2)You can add scalars and vectors!  From Zero to Geo 1.11Dimension is Multi-Dimensional - From Zero to Geo 1.10Geometric Algebra vs. Clifford AlgebraAre Bivectors Always Plane Segments?The Algebra of Vectors - From Zero to Geo 1.4

The Grade Involution @sudgylacmoe

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