Rachel Greenfeld

Translational tiling is a covering of a space (such as Euclidean space) using translated copies of one building block, called a "translational tile'', without any positive measure overlaps. Can we determine whether a given set is a translational tile...

A set S in the Euclidean plane is an integer distance set if the distance between any pair of its points is an integer. Interestingly, all the so-far-known integer distance sets have all but up to four of their points on a single line or circle. And...