  We prove that the Cox ring of $\bar{M}_{0,6}$, the moduli space of stable,
rational curves with 6 marked points, is finitely generated by sections
corresponding to the boundary divisors and divisors which are pull-backs of the
hyperelliptic locus in $\bar{M}_3$, the moduli space of stable, genus 3 curves,
via morphisms that send a 6-pointed rational curve to a curve with 3 nodes by
identifying 3 pairs of points. In particular, this gives a self-contained proof
of Hassett and Tschinkel's result about the effective cone of $\bar{M}_{0,6}$
being generated by the above mentioned divisors.
