Frequency of the single hex
Currently, it seems that the frequency of each configuration (all rotations included as a single config) appear in the same frequency. However, the single dot, lacking any (meaningful) rotation, ends up appearing very often.
The issue is that the single dot is, while helpful, quite dull to play, especially when your full option queue is all the same exact config.
I would personally find playing more enjoyable (and more difficult) if the dot appeared with a much lesser frequency to the others (in addition to speeding up the game significantly).