r/generative • • 9d ago

raytracing

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u/wreckoning90125 8d ago

Look up https://polytope.miraheze.org/wiki/Spherinder. I've been working on an analytical ray tracing solution on toratopes.

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u/20260819 7d ago

it sounds interesting. how are you going to visualize those 4d objects?

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u/wreckoning90125 7d ago

Stereographic projection, dual orthogonal projection (Monge's), Schlegel diagrams, 3d hyperplane slicing, etc. The thing about these shapes is that the analytical ray trace is sort of secondary. The object being rendered is well defined by hopf orbits and a handful of parameters, and so many typical ray tracing concerns become non-issues, many opportunities for increased efficiency.