In Part I of this paper the minimal regular covers of three 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.
@article{10_37236_3083,
author = {Mark Mixer and Daniel Pellicer and Gordon Williams},
title = {Minimal covers of the {Archimedean} tilings. {II.}},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {2},
doi = {10.37236/3083},
zbl = {1270.52017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3083/}
}
TY - JOUR
AU - Mark Mixer
AU - Daniel Pellicer
AU - Gordon Williams
TI - Minimal covers of the Archimedean tilings. II.
JO - The electronic journal of combinatorics
PY - 2013
VL - 20
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/3083/
DO - 10.37236/3083
ID - 10_37236_3083
ER -
%0 Journal Article
%A Mark Mixer
%A Daniel Pellicer
%A Gordon Williams
%T Minimal covers of the Archimedean tilings. II.
%J The electronic journal of combinatorics
%D 2013
%V 20
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/3083/
%R 10.37236/3083
%F 10_37236_3083
Mark Mixer; Daniel Pellicer; Gordon Williams. Minimal covers of the Archimedean tilings. II.. The electronic journal of combinatorics, Tome 20 (2013) no. 2. doi: 10.37236/3083
