MathDB

6

Part of 1997 Poland - Second Round

Problems(1)

max distance of 8 points inside a unit cube is 1

Source: Polish second round 1997 p6

1/19/2020
Let eight points be given in a unit cube. Prove that two of these points are on a distance not greater than 11.
geometry3D geometrycombinatorial geometrycubedistancemaxpoints