  The present article includes the enumeration of $n$-polygons with two certain
symmetry properties: For a number $3m$ of vertices, we count the $3m$-polygons
with $m$ symmetry axes and the $3m$-polygons, that match after three elementary
rotations, but have no symmetry axes. For those polygons we give complete lists
of representatives of their equivalence-classes and closed formulas for their
number.
