Geodesic
Cubulating rhombus groups
David Janzen1 ; Daniel T. Wise2
1John Abbott College, Sainte-Anne-De-Bellevue, Canada
2McGill University, Montreal, Canada
Groups, geometry, and dynamics, Tome 7 (2013) no. 2, pp. 419-442

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DOI

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
DOI : 10.4171/ggd/188
Classification : 20-XX, 00-XX
Mots-clés : CAT(0) cube complexes, Penrose tilings

David Janzen  1   ; Daniel T. Wise  2

1 John Abbott College, Sainte-Anne-De-Bellevue, Canada
2 McGill University, Montreal, Canada 
David Janzen; Daniel T. Wise. Cubulating rhombus groups. Groups, geometry, and dynamics, Tome 7 (2013) no. 2, pp. 419-442. doi: 10.4171/ggd/188
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     title = {Cubulating rhombus groups},
     journal = {Groups, geometry, and dynamics},
     pages = {419--442},
     year = {2013},
     volume = {7},
     number = {2},
     doi = {10.4171/ggd/188},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/188/}
}
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