Aperiodic tilings
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Publication:1358257
DOI10.1007/s002220050153zbMath0879.52011OpenAlexW3191581046WikidataQ56443073 ScholiaQ56443073MaRDI QIDQ1358257
Publication date: 3 July 1997
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050153
tessellation automatarigidity of structureslinear algebraic groups over the quaternionstiling affine buildingstilings in \(n\) dimensions
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items (14)
Strongly aperiodic subshifts of finite type on hyperbolic groups ⋮ Garden of Eden and weakly periodic points for certain expansive actions of groups ⋮ Approximate lattices in higher-rank semi-simple groups ⋮ Aperiodic tilings with one prototile and low complexity atlas matching rules ⋮ The large scale geometry of strongly aperiodic subshifts of finite type ⋮ Necessary conditions for tiling finitely generated amenable groups ⋮ SCD patterns have singular diffraction ⋮ Properties of Böröczky tilings in high-dimensional hyperbolic spaces ⋮ A strongly aperiodic set of tiles in the hyperbolic plane ⋮ A hierarchical strongly aperiodic set of tiles in the hyperbolic plane ⋮ Rectangular tileability and complementary tileability are undecidable ⋮ Aperiodic tilings of the hyperbolic plane by convex polygons ⋮ Aperiodic order and spherical diffraction. II: Translation bounded measures on homogeneous spaces ⋮ A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings
Cites Work
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- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Pentaplexity. A class of non-periodic tilings of the plane
- Rigidity of planar tilings
- Inflationary tilings with a similarity structure
- Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
- Global order from local sources
- Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
- Quasi-flats and rigidity in higher rank symmetric spaces
- The undecidability of the domino problem
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