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math.CO2012
Minimal covers of the prisms and antiprisms
Michael I. Hartley, Daniel Pellicer, Gordon Williams
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 o…
math.CO2009
Representing the Sporadic Archimedean Polyhedra as Abstract Polytopes
Michael Hartley, Gordon Williams
We present the results of an investigation into the representations of Archimedean polyhedra (those polyhedra containing only one type of vertex figure) as quotients of regular abs…
math.CO2003
The Classification of Rank 4 Locally Projective Polytopes and Their Quotients
Michael I Hartley
This article announces the completion of the classification of rank 4 locally projective polytopes and their quotients. There are seventeen universal locally projective polytopes (…