  The paper gives a review of very recent results related to the Poncelet
Theorem, on the occasion of its bicentennial. We are telling the story of one
of the most beautiful theorems of Geometry, recalling for the general
mathematical audience the dramatic historic circumstances which led to its
discovery, a glimpse of its intrinsic appeal, and importance of its
relationship to the dynamics of billiards within confocal conics. We focus on
the three main issues: A) The case of Pseudo-Euclidean spaces, presenting a
recent notion of relativistic quadrics, and applying it to the description of
periodic trajectories of billiards within quadrics. B) The relationship between
so-called billiard algebra and foundations of modern discrete differential
geometry which leads to the Double-reflection nets. C) We introduce a new class
of dynamical systems -- pseudo-integrable billiards generated by the boundary
composed of several arcs of confocal conics having nonconvex angles. The
dynamics of such billiards has several extraordinary properties. They are
related to the interval exchange transformations and generate families of flows
which are minimal but not uniquely ergodic. This type of dynamics provides a
novel type of the Poncelet porisms -- the local ones.
