%0 Journal Article
%T A local characterization of combinatorial multihedrality in tilings
%A Nikolai Dolbilin
%A Egon Schulte
%J Contributions to Discrete Mathematics
%D 2009
%I University of Calgary
%X A locally finite face-to-face tiling of euclidean $d$-space by convex polytopes is called {em combinatorially multihedral/} if its combinatorial automorphism group has only finitely many orbits on the tiles. The paper describes a local characterization of combinatorially multihedral tilings in terms of centered coronas. This generalizes the Local Theorem for Monotypic Tilings, established in cite{dolsch}, which characterizes the case of combinatorial tile-transitivity.
%U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/57