Cubulating rhombus groups

David Janzen, Daniel Wise
2013 Groups, Geometry, and Dynamics  
We study CAT.0/ 2-complexes all of whose polygons are Euclidean rhombi. We describe walls in these complexes, and examine the dual CAT.0/ cube complex. Our viewpoint relates Sageev's dual cube complexes to de Bruijn's approach to the Penrose tilings. Mathematics Subject Classification (2010). 20F67.
doi:10.4171/ggd/188 fatcat:mhnestbrtjazxpv6zb7uetb6iu