3 papers
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 (…
math.GR2003
Quotients of a Universal Locally Projective Polytope of type {5,3,5}
Michael Ian Hartley, Dimitri Leemans
This article examines the universal polytope $\CP$ (of type ) whose facets are dodecahedra, and whose vertex figures are hemi-icosahedra. The polytope is proven to be fi…