  Let X be a Mori dream space together with an effective torus action of
complexity one. In this note, we construct a polyhedral divisor on a suitable
covering of the projective line P^1 which corresponds to the affine spectrum of
the Cox ring of X. This description allows for a detailed study of torus orbits
and deformations of the latter. Moreover, we present coverings of P^1 together
with an action of a finite abelian group A in terms of so-called A-divisors of
degree zero on P^1.
