By utilizing the large multiplexing advantage of the Two-degree Field spect
rograph on the Anglo-Australian Telescope, we have been able to obtain a co
mplete spectroscopic sample of all objects in a predefined magnitude range,
16.5 < b(j) < 19.7 regardless of morphology, in an area toward the center
of the Fornax Cluster of galaxies. Among the unresolved or marginally resol
ved targets, we have found five objects that are actually at the redshift o
f the Fornax Cluster; i.e., they are extremely compact dwarf galaxies or ex
tremely large star clusters. All five have absorption-line spectra. With in
trinsic sizes of less than 1."1 HWHM (corresponding to approximately 100 pc
at the distance of the cluster), they are more compact and significantly l
ess luminous than other known compact dwarf galaxies, yet much brighter tha
n any globular cluster. In this paper we present new ground-based optical o
bservations of these enigmatic objects. In addition to having extremely hig
h central surface brightnesses, these objects show no evidence of any surro
unding low surface brightness envelopes down to much fainter limits than is
the case for, e.g., nucleated dwarf elliptical galaxies. Thus, if they are
not merely the stripped remains of some other type of galaxy, then they ap
pear to have properties unlike any previously known type of stellar system.