(I also get free coordinate system checks, like if it’s in world space you have to give it a transform between that and screen space, which you can only obtain by composition step by step.)
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Oooh, reminds me a bit of "Geometry types for graphics programming":
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Have you looked into geometric algebra before? It has some nicer properties than linear algebra, and could potentially work a bit better with this kind of thing.
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I have looked into algebraic geometry and it's the most scary thing I've ever seen, and I was already afraid of topology.
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the sole reason I'm not really into HoTT is my creepling fear of topology.
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it might stretch and deform in unexpected, continuous ways
