The real projective plane immersed in three dimensions without a single crease — Hilbert set the problem expecting it to be impossible and his student found this in 1901; three lobes, one triple point, and Bryant's exact parametrisation drawn rather than approximated.
Drawn with: a WebGL2 shader.
Reacts to and looks like: gpu, webgl2 and audio-reactive.
Family: Visualiser.
Runs in your browser. The preview above is the same program the renderer uses.