  Given a flexible $n$-gon with generic side lengths, the moduli space of its
configurations in $\mathbb{R}^2$ as well as in $\mathbb{R}^3$ is a smooth
manifold. It is equipped with $n$ \textit{tautological} line bundles whose
definition is motivated by M. Kontsevich's tautological bundles over
$\mathcal{M}_{0,n}$. We study their Euler classes, first Chern classes and
intersection numbers, that is, top monomials in Chern (Euler) classes. The
latter are interpreted geometrically as the signed numbers of some
\textit{triangular configurations} of the flexible polygon.
