  We discuss the ``spectroscopy'' of gluonic states in systems with two space
dimensions, using simple models to mimic the results of lattice gauge theory
computations. We first discuss the quantum numbers of these systems, including
charge conjugation. Two types of systems are discussed in detail: ``gluelumps''
which have a heavy adjoint color charge at the origin and glueballs which are
composed entirely of glue. Both systems are discussed using the bag model and
the flux tube model. For glueballs the model spectra are compared with the
resulst of Teper. Both models capture many features of the numerical results.
