IMO Shortlist 1969 problem 39
Dodao/la:
arhiva2. travnja 2012. ![(HUN 6)](/media/m/c/3/b/c3bb83b552dafccc3a4ccd46f0dfbce7.png)
Find the positions of three points
![A,B,C](/media/m/6/0/1/6012c28979f41c54e9b40b9fc855aa34.png)
on the boundary of a unit cube such that
![min\{AB,AC,BC\}](/media/m/5/a/1/5a110e4251d04b267fa3063d51356be4.png)
is the greatest possible.
%V0
$(HUN 6)$ Find the positions of three points $A,B,C$ on the boundary of a unit cube such that $min\{AB,AC,BC\}$ is the greatest possible.
Izvor: Međunarodna matematička olimpijada, shortlist 1969