BarthSextic_Marble

Steve Trettel

MediumCustom GPU path tracer for algebraic varieties.
The ArtA path traced image of the Barth Sextic algebraic variety, as a marble. The path tracer aims to compute physically correct material properties, lighting, and reflections.
The MathAn algebraic variety is the set of zeroes of a polynomial equation. Sometimes these are smooth manifolds, and other times they have singularities, which look like the vertices of double cones here in dimension 2. The Barth Sextic is a 6th degree projective variety which has a maximal number of singularities (65) for its degree.
CategoriesGPU Computing, Path tracing, Algebraic Geometry, Physics Simulation