Multiple translational tiling in the plane

Seminar
Speaker
Dr. Yang Qi, Peking University
Date
16/12/2019 - 16:00 - 15:05Add to Calendar 2019-12-16 15:05:00 2019-12-16 16:00:00 Multiple translational tiling in the plane In this talk, I will present some of my results in multiple translational tiling in the Euclidean plane. For examples, besides parallelograms and centrally symmetric hexagons, there is no other convex domain which can form any two-, three- or four-fold translative tiling in the plane. However, there are two types of octagons and one type of decagons which can form nontrivial five-fold translative tilings. Furthermore, a convex domain can form a five-fold translative tiling of the plane if and only if it can form a five-fold lattice tiling, a multiple translational tile in the plane is a multiple lattice tile. This talk is based on a joint work with Professor Chuanming Zong. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In this talk, I will present some of my results in multiple translational tiling
in the Euclidean plane. For examples, besides parallelograms and centrally symmetric
hexagons, there is no other convex domain which can form any two-, three- or four-fold
translative tiling in the plane. However, there are two types of octagons and one type
of decagons which can form nontrivial five-fold translative tilings. Furthermore, a
convex domain can form a five-fold translative tiling of the plane if and only if it
can form a five-fold lattice tiling, a multiple translational tile in the plane is a
multiple lattice tile. This talk is based on a joint work with Professor Chuanming Zong.

Last Updated Date : 16/12/2019