On the Odd Area of Planar Sets

The main result in the paper is a construction of a simple (in fact, just a union of two squares) set T in the plane with the following property. For every > 0 there if a family F of an odd number of translates of T such that the area of those points in the plane that belong to an odd number of sets in F is smaller than .

• Type: Journal
• Year: 2016
• Where: DCG
• Authors: Assaf Oren, Igor Pak, Rom Pinchasi
• Keywords: Computer Graphics, DCG 2016