IMO Shortlist 1967 problem 2
Dodao/la:
arhiva2. travnja 2012. Is it possible to find a set of
![100](/media/m/c/c/c/ccc0563efabf7c1a3d81b0dc63f5b627.png)
(or
![200](/media/m/d/b/1/db17fa4815fe209746e70206b8e27264.png)
) points on the boundary of a cube such that this set remains fixed under all rotations which leave the cube fixed ?
%V0
Is it possible to find a set of $100$ (or $200$) points on the boundary of a cube such that this set remains fixed under all rotations which leave the cube fixed ?
Izvor: Međunarodna matematička olimpijada, shortlist 1967