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