Orbifold Triangulations and Crystallographic Groups (1996)
by
Olaf Delgado Friedrichs
,
Daniel H. Huson
| Citations: | 5 - 3 self |
BibTeX
@MISC{Friedrichs96orbifoldtriangulations,
author = {Olaf Delgado Friedrichs and Daniel H. Huson},
title = {Orbifold Triangulations and Crystallographic Groups},
year = {1996}
}
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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 algebraic invariants distinguish between the remaining 44 cases. The graphs and invariants are listed.
