A criterion for the affine equivalence of cell complexes in and
convex polyhedra in
A criterion is gives that decides, for a convex tiling
is the projection of the faces in the boundary of some convex polyhedron
. Its applicability is restricted neither by the properties
nor by the dimension of
. It turns out to be simpler than other criteria
and allows the easy examination of various classes of cell complexes. In
addition, the criterion is constructive, that is, it can be used to construct
provided it exists.
Reference: F. Aurenhammer.
A criterion for the affine equivalence of cell complexes in and convex
polyhedra in .
Discrete & Computational Geometry, 2(1):49-64, 1987.
[IIG-Report-Series 205, TU Graz, Austria, 1985].