IMO Shortlist 1966 problem 57
Dodao/la:
arhiva2. travnja 2012. Is it possible to choose a set of
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(or
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) points on the boundary of a cube such that this set is fixed under each isometry of the cube into itself? Justify your answer.
%V0
Is it possible to choose a set of $100$ (or $200$) points on the boundary of a cube such that this set is fixed under each isometry of the cube into itself? Justify your answer.
Izvor: Međunarodna matematička olimpijada, shortlist 1966