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

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.

Introduction
Website
First geometries
Raytracing vs raymarching
What do we need
Postcards
NIL
NIL lighting
Mill isometries
Sol
Raytracing website
Fractal objects
Canonthurston maps
chromology fractals
dependence on r
noise
supersampling
central limit theorem
chromoly fractal
swirled series
the poincare ball
the H3 project