Methods for statistical studies of geometrical configurations of tripl
ets of galaxies are discussed and applied to observations. Those of th
e observed triplets, which are believed to be bound isolated systems,
are scattered uniformly over the area of all possible configurations a
nd do not reveal any excess of hierarchical structures. Morphology of
the galaxies in the triplets do not show any predominance of elliptica
l galaxies which could be merger remnants. The distribution of the geo
metrical structures cannot be explained by three-body dynamics, while
the morphology suggests that the observed galaxies are not likely to b
e results of galaxy mergers. The presence of smoothly distributed dark
matter in these systems may explain the observations.