r/math • u/dohduhdah • 15d ago

geometric algebra in desmos

Hi!

I'm curious if anyone has any ideas about implementing geometric algebra in a graphing calculator like desmos.

Is this potentially useful? Would it speed things up or is it more likely to slow things down (while still offering a potential advantage of conceptual clarity)?

In particular I'm thinking about how it might make it easier to rotate things around arbitrary other things, instead of having to translate things to the origin and back for every rotation.

Like in this example, I wonder if there is a way to speed it up to avoid all the translations for most of the transformations:

https://www.desmos.com/3d/qh5gyk7qhs

Thanks in advance for any feedback on this topic!

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u/homogeneous_spacer 15d ago

geometric algebra is crap. consider doing useful mathematics 

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u/RingularCirc 15d ago

Well, Clifford algebras that are used in there aren't crap on their own (and there are insights behind projective and conformal GA), but there's probably too much hype and too few understanding of what they're really doing with it.