On a Uniqueness Problem in Discrete Tomography
Golden Sun, Vladyslav Yaskin · American Mathematical Monthly · 2024
Let A be a subset of the integer lattice Zn contained inside a sphere S in Rn. Suppose that for each u∈S we know the number of points of A visible from u. Does this information determine the set A uniquely? In this note we answer this question affirmatively, provided the center of the sphere is not a rational point.