Type: Article

Minimal covers of the Archimedean tilings, part II

Mixer, Mark; Pellicer, Daniel; Williams, Gordon;

Abstract:

In Part I of this paper ([PW12]), the minimal regular covers of three of the eight Archimedean tilings were determined. However, the computations described in that work grow more complicated as the number of flag orbits of the tilings increases. In Part II, we develop a new technique in order to present the minimal regular covers of certain periodic abstract polytopes. We then use that technique to finish determining the minimal regular covers of the Archimedean tilings.