MathDB
Putnam 1974 B1

Source: Putnam 1974

May 28, 2022
Putnamdistancecircle

Problem Statement

Which configurations of five (not necessarily distinct) points p1,,p5p_1 ,\ldots, p_5 on the circle x2+y2=1x^2 +y^2 =1 maximize the sum of the ten distances i<jd(pi,pj)?\sum_{i<j} d(p_i, p_j)?