Path-traced Steiner surface: the real projective plane immersed in $\mathbb{R}^3$ as an algebraic surface, together with three singular lines.
A pathtraced rendering of the Steiner surface, the algebraic variety in R3 defined by x2y2+y2z2+z2x2=xyz. This degree-4 surface is the image of a map from the real projective plane RP2 into R3, with three lines of self-intersection meeting at a single triple point at the origin.
The surface is rendered using a GPU pathtracer, solving the quartic ray-surface intersection algebraically in a GLSL fragment shader. Controls: WASD to rotate, arrow keys to translate.
