MathDB
TOT 508 1996 Autumn J A1 4 points red and 4 points black

Source:

August 16, 2024
combinatoricscombinatorial geometry

Problem Statement

Can one paint four points in the plane red and another four points black so that any three points of the same colour are vertices of a parallelogram whose fourth vertex is a point of the other colour?
(NB Vassiliev)