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1
Introduction
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Website
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First geometries
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Raytracing vs raymarching
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What do we need
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Postcards
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NIL
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NIL lighting
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Mill isometries
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Sol
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Raytracing website
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Fractal objects
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Canonthurston maps
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chromology fractals
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dependence on r
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noise
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supersampling
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central limit theorem
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chromoly fractal
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swirled series
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the poincare ball
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the H3 project
Description:
Explore raytracing and raymarching simulations of non-euclidean geometries in this comprehensive lecture by Henry Segerman from Oklahoma State University. Delve into topics such as raytracing versus raymarching techniques, NIL lighting, Mill isometries, and fractal objects. Discover the intricacies of the Cannon-Thurston maps, chromology fractals, and the Poincaré ball. Learn about the H3 project and gain insights into the application of noise and supersampling in these simulations. This talk, part of the Workshop on Topology: Identifying Order in Complex Systems at the Institute for Advanced Study, offers a deep dive into the fascinating world of non-euclidean geometry visualization.

Raytracing and Raymarching Simulations of Non-Euclidean Geometries - Henry Segerman

Institute for Advanced Study
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