7 citations · 15 across the 7 of their papers we have counts for
7 papers
Characterization of the Three-Dimensional Fivefold Translative Tiles
Mei Han, Kirati Sriamorn, Qi Yang +1
This paper proves the following statement: If a convex body can form a fivefold translative tiling in , it must be a parallelotope, a hexagonal prism, a rhombic dodec…
The Three and Fourfold Translative Tiles in Three-Dimensional Space
Mei Han, Kirati Sriamorn, Qi Yang +1
This paper proves the following statement: If a convex body can form a three or fourfold translative tiling in the three-dimensional space, it must be a parallelohedron. In other w…
Twofold Translative Tiles in Three-Dimensional Space
Mei Han, Qi Yang, Kirati Sriamorn +1
This paper proves the following statement: {\it If a convex body can form a twofold translative tiling in , it must be a parallelohedron.} In other words, it must be…
On multiple translative tiling in the plane
Qi Yang
This paper shows that a multiple translative tile in the plane must be a multiple lattice tile.
Characterization of the Two-Dimensional Five-Fold Translative Tiles
Qi Yang, Chuanming Zong
In 1885, Fedorov discovered that a convex domain can form a lattice tiling of the Euclidean plane if and only if it is a parallelogram or a centrally symmetric hexagon. It is known…
Multiple Translative Tilings in Euclidean Spaces
Qi Yang, Chuanming Zong
In 1885, Fedorov discovered that a convex domain can form a lattice tiling of the Euclidean plane if and only if it is a parallelogram or a centrally symmetric hexagon. This paper…
Multiple Lattice Tilings in Euclidean Spaces
Qi Yang, Chuanming Zong
This paper proves the following results: Besides parallelograms and centrally symmetric hexagons, there is no other convex domain which can form a two-, three- or four-fold lattice…