The Endrasss Octic

Steve Trettel

MediumCustom GPU path tracer for algebraic varieties.
The ArtA path traced image of the Endrass Octic algebraic variety. 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 Endrass Octic is a 8th degree projective variety which has a maximal number of singularities (168) for its degree.
CategoriesGPU Computing, Path tracing, Algebraic Geometry, Physics Simulation