  We demonstrate for a generic pseudointegrable billiard that the number of
periodic orbit families with length less than $l$ increases as $\pi
b_0l^2/\langle a(l) \rangle$, where $b_0$ is a constant and $\langle a(l)
\rangle$ is the average area occupied by these families. We also find that
$\langle a(l) \rangle$ increases with $l$ before saturating. Finally, we show
that periodic orbits provide a good estimate of spectral correlations in the
corresponding quantum spectrum and thus conclude that diffraction effects are
not as significant in such studies.
