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Cubulating rhombus groups
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