Back to some Riemannian geometry, as I prepare a talk. Here’s a view from inside a hyperbolic tiling, lit by red yellow blue and purple light sourcespic.twitter.com/JYsaGeLGpm
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Replying to @graveolens @stevejtrettel
Just as in E³ light power is proportional to the area of a sphere at the radius you're testing. It's just that hyperbolic spheres grow exponentially in area, instead of just growing with the square of the radius as in E³. So the light falloff will also be exponential.
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Replying to @ibutton77 @stevejtrettel
so rendering reflective material might produce nifty effects?
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Replying to @graveolens @stevejtrettel
*shrugs* I think rendering reflective material *always* makes nifty effects. Oooh.. shiny! :D But I don't think a casual observer would easily be able to tell hyperbolic reflections from euclidean ones. Everything in hyperbolic space is "closer than they appear".
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limit sets
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