MathDB

4

Part of 1997 Czech and Slovak Match

Problems(1)

100 balls, each of them touches at least 1 third of others

Source: Czech and Slovak Match 1997 P4

10/1/2017
Is it possible to place 100100 balls in space so that no two of them have a common interior point and each of them touches at least one third of the others?
geometrycombinatorial geometry