2011 ToT Fall Senior A p1 points with different distances
Source:
March 22, 2020
combinatorial geometrycombinatoricspointsdistance
Problem Statement
Pete has marked several (three or more) points in the plane such that all distances between them are different. A pair of marked points will be called unusual if is the furthest marked point from , and is the nearest marked point to (apart from itself). What is the largest possible number of unusual pairs that Pete can obtain?