Inside the Whitehead link complement in $\mathbb{H}^3$, with horosphere reflections creating a manifold double
This program renders the view from inside the complement of the Whitehead link in hyperbolic 3-space, realized as a quotient of H^3 by a lattice of isometries. The fundamental domain is bounded by horospheres (surfaces equidistant from ideal points), and rays that hit a horosphere are reflected to create a manifold double: two copies of the complement glued along their boundary. The hyperbolic metric uses the hyperboloid model with sinh/cosh geodesic flow, and textured spheres at the origin in each copy distinguish the two sides.
Controls: WASD to rotate, arrow keys to translate.