Sample Fluxes
Here are examples of fluxes that show denser and sparser areas after a finite number of deflections. Below: Curious sworls near each vertex. (Vortices?)

Is the following flux ergodic? Will it fill in the interior? If not, it must be rational. Hint, the angle of the initial shot inside the Heptagon (7 sides) was 317 degrees 4 minutes and 17 seconds. You are looking at 3999 bounces.

How about this one?

These were all produced by my PolygonFlux iOS app. See also PolygonJazz.
Sorry — Both apps are sadly out of date! I will recode in Swift and get them back into the App store ASAP! --JM