%0 Journal Article %T Minimal covers of the prisms and antiprisms %A Michael I. Hartley %A Daniel Pellicer %A Gordon Williams %J Mathematics %D 2012 %I arXiv %X This paper contains a classication of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups. %U http://arxiv.org/abs/1206.6119v1