  By studying laminations of the unit disk, we can gain insight into the
structure of Julia sets of polynomials and their dynamics in the complex plane.
The polynomials of a given degree, $d$, have a parameter space. The hyperbolic
components of such parameter spaces are in correspondence to rotational
polygons, or classes of "rotational sets", which we study in this paper. By
studying the count of such rotational sets, and therefore the underlying
structure behind these rotational sets and polygons, we can gain insight into
the interrelationship among hyperbolic components of the parameter space of
these polynomials.
  These rotational sets are created by uniting rotational orbits, as we define
in this paper. The number of such sets for a given degree $d$, rotation number
$\frac pq$, and cardinality $k$ can be determined by analyzing the potential
placements of pre-images of zero on the unit circle with respect to the
rotational set under the $d$-tupling map. We obtain a closed-form formula for
the count. Though this count is already known based upon some sophisticated
results, our count is based upon elementary geometric and combinatorial
principles, and provides an intuitive explanation.
