Abstract
We study CAT(0)2-complexes all of whose polygons are Euclidean rhombi. We describewalls 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.
| Original language | English |
|---|---|
| Pages (from-to) | 419-442 |
| Number of pages | 24 |
| Journal | Groups, Geometry, and Dynamics |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2013 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Discrete Mathematics and Combinatorics