A criterion is given that decides, for a convex tilingC ofRd, whetherC is the projection of the faces in the boundary of some convex polyhedronP inRd+1. Its applicability is restricted neither by the properties nor by the dimension ofC. It turns out to be conceptually 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 constructP provided it exists.
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)