Orbifold Triangulations and Crystallographic Groups
Olaf Delgado Friedrichs and Daniel H. Huson

Abstract:
Given a triangulation of a 3-dimensional euclidean orbifold,
e.g. in terms of the Delaney symbol of a periodic tiling,
a method is discussed for identifying the isomorphism type of the 
corresponding space group.
Of the 219 types of groups, 175 can be recognized solely by considering
the orbifold graph associated with the given triangulation.
Simple abelian invariants distinguish between the remaining 44 cases.
The graphs and invariants are listed.

To appear in:  Special Volume of Periodica Math. Hung. on Packing, Covering
and Tiling