Sufficiently Fat Polyhedra are not 2-castable

In this note we consider the problem of manufacturing a convex polyhedral object via casting. We consider a generalization of the sand casting process where the object is manufactured by gluing together two identical facets of parts cast with a single piece mold. In this model we show that the class of convex polyhedra which can be enclosed between two concentric spheres

• Type: Journal
• Year: 2002
• Where: CORR
• Authors: David Bremner, Alexander Golynski
• Keywords: Convex Polyhedral Object, CORR 2002, Education, Identical Facets, Single Piece Mold