Integral Polyhedra in Three Space

Abstract
In a series of recent papers I have introduced a particular class of convex polyhedra in Rn, arising in the study of integer programming problems with n variables. In the present paper a detailed analysis of these polyhedra will be given for the case in which n = 3; the analysis is based on an unpublished theorem demonstrated several years ago by Roger Howe, which seems to have no immediate generalization to higher values of n.

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