Characterization of the three-dimensional multiple translative tiles
From MaRDI portal
Publication:2099098
DOI10.1016/j.aim.2022.108755zbMath1505.52023OpenAlexW4307310395MaRDI QIDQ2099098
Kirati Sriamorn, Qi Yang, Mei Han, Chuan Ming Zong
Publication date: 23 November 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2022.108755
Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure results for multiple tilings in 3D
- On the number of facets of three-dimensional Dirichlet stereohedra. III: Full cubic groups
- Regular Dirichlet-Voronoi partitions for the second triclinic group
- Multiple tilings of \(n\)-dimensional space by unit cubes
- Strange phenomena in convex and discrete geometry. Ed. by James J. Dudziak
- The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces
- Multi-tiling and Riesz bases
- Translational tilings by a polytope, with multiplicity
- On the symmetry classification of the four-dimensional parallelohedra
- Convex bodies which tile space by translation
- Mathematical problems
- 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
- The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices
- Multiple lattice tiles and Riesz bases of exponentials