2016/08/13 by Bédaride, Nicolas, Fernique, Thomas
#37B10 #37B50 #52C20 #52C23 #Combinatorics (math.CO) #F.1.1 #FOS: Mathematics
paper · doi:10.48550/arxiv.1608.03962
Icosahedral tilings, although non-periodic, are known to be characterized by their configurations of some finite size. This characterization has also been expressed in terms of a simple alternation condition. We provide an alternative proof - shorter and arguably easier - of this fact. We moreover conjecture that the alternation condition can be weakened.