Can I read Multiple Translative Tilings in Euclidean Spaces on EtoBox?

Multiple Translative Tilings in Euclidean Spaces by Yang, Qi; Zong, Chuanming is a scholarly article available to read on EtoBox.

What is Multiple Translative Tilings in Euclidean Spaces about?

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 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 translative tiling in the Euclidean plane. However, there are two-dimensional convex domains which is neither a parallelogram nor a centrally symmetric hexagon can form five-fold translative tilings.

Author

Yang, Qi; Zong, Chuanming

Published

2017

Language

EN