7 citations · 31 across the 22 of their papers we have counts for
22 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…
Borsuk's Problem in Metric Spaces
Jun Wang, Fei Xue, Chuanming Zong
In 1933, K. Borsuk proposed the following problem: Can every bounded set in be divided into subsets of smaller diameters? In 1965, V. G. Boltyanski and I. T. G…
Lower Bounds on Lattice Covering Densities of Simplices
Miao Fu, Fei Xue, Chuanming Zong
This paper presents new lower bounds for the lattice covering densities of simplices by studying the Degree-Diameter Problem for abelian Cayley digraphs. In particular, it proves t…
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…
Blaschke, Osgood, Wiener, Hadamard and the Early Development of Modern Mathematics in China
Chuanming Zong
In ancient times, China made great contributions to world civilization and in particular to mathematics. However, modern sciences including mathematics came to China rather too lat…