Cohomology fractals, Cannon–Thurston maps, and the geodesic flow

Cohomology fractals are images naturally associated to cohomology classes in hyperbolic three-manifolds. We generate these for cusped, incomplete, and closed three-manifolds real-time by ray-tracing a fixed visual radius. discovered while attempting illustrate Cannon–Thurston maps without using vector graphics; we prove correspondence between two, when the class is dual fibration. This allows us verify our implementations comparing of existing pictures maps.In sequence experiments, explore limiting behaviour as radius increases. Motivated that values normally distributed, but with diverging standard deviations. In fact, do not converge function limit. Instead, show limit distribution on sphere at infinity, only depending manifold class.