MathDB
2011 in plane, distance <1, 1005 points outside unit circles

Source: JBMO 2011 Shortlist C9

October 14, 2017
JBMOcombinatoricscombinatorial geometry

Problem Statement

Decide if it is possible to consider 20112011 points in a plane such that the distance between every two of these points is different from 11 and each unit circle centered at one of these points leaves exactly 10051005 points outside the circle.