  We study amalgamation properties in a family of abstract elementary classes
that we call coloring classes. The family includes the examples previously
studied in previous work of Baldwin, Kolesnikov, and Shelah. We establish that
the amalgamation property is equivalent to the disjoint amalgamation property
in all coloring classes; find the Hanf number for the amalgamation property for
coloring classes; and improve the results of Baldwin, Kolesnikov, and Shelah by
showing, in ZFC, that the (disjoint) amalgamation property for classes
$K_\alpha$ studied in that paper must hold up to $\beth_\alpha$ (only a
consistency result was previously known).
