  In a previous escapade we gave a collection of continued fractions involving
Catalan's constant. This paper provides more general formulae governing those
continued fractions. Having distinguished different cases associated to regions
in the plan, we nickname those continued fractions \enquote{The Balkans} as
they divide into areas which are related but still different in nature.
  Because we do not provide formal proofs of those machine-constructed formulae
we do not claim them to be theorems. Still, each and every proposed formula was
extensively tested numerically.
