Characterization of the two-dimensional fivefold and sixfold lattice tiles
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Publication:6634723
DOI10.2969/jmsj/90419041MaRDI QIDQ6634723
Publication date: 8 November 2024
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Cites Work
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- Structure results for multiple tilings in 3D
- Packing, covering and tiling in two-dimensional spaces
- Regular Dirichlet-Voronoi partitions for the second triclinic group
- Multiple tilings of \(n\)-dimensional space by unit cubes
- Allgemeine Lehrsätze über die convexen Polyeder.
- On the structure of multiple translational tilings by polygonal regions
- Convex pentagons that admit \(i\)-block transitive tilings
- Sur la partition régulière de l'espace à 4 dimensions. I, II.
- Deciding multiple tiling by polygons in polynomial time
- Translational tilings by a polytope, with multiplicity
- Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Würfelgitter
- On the symmetry classification of the four-dimensional parallelohedra
- Convex bodies which tile space by translation
- What is known about unit cubes
- Characterization of the Two-Dimensional Fivefold Translative Tiles
- Periodic structure of translational multi-tilings in the plane
- Multi‐tiling and equidecomposability of polytopes by lattice translates
- Can You Pave the Plane with Identical Tiles?
- Multiple Lattice Tilings in Euclidean Spaces
- Convex and Discrete Geometry
- The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices
- Mysteries in Packing Regular Tetrahedra
- Über Gitter konstanter Dichte
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