  The galaxies of nonstandard enlargements of conventionally infinite as well
as of transfinite graphs are defined, analyzed, and illustrated by some
examples. It is then shown that any such enlargement either has exactly one
galaxy, its principal one, or it has infinitely many galaxies. In the latter
case, the galaxies are partially ordered by their "closeness" to the principal
galaxy. If an enlargement has a galaxy different from its principal galaxy,
then it has a two-way infinite sequence of galaxies that are totally ordered
according to that "closeness" property. There may be many such totally ordered
sequences.
