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I’m a huge GA fan, but until really sophisticated compile-time algorithms can aggressively reduce the computations it won’t be useful for graphics anytime soon. For instance, the “proper” GA setting is 5d conformal, which requires 32x32 matrix computations. The standard operation is “multiply” (even for translation!); that takes an operation from 4 ops to ... 32k ops.



Clearly the generic n-dimensional GA libraries out there have little use for real time graphics, but projects like https://www.jeremyong.com/klein/ that are specialized to 3D with a focus on efficiency look promising.


This is fantastic; thank you!




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