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SHARYGIN 2007 Problem 6

    a) (8-9) What can be the number of symmetry axes of a checked polygon, that is, of a polygon whose sides lie on lines of a list of checked paper? (Indicate all possible values.) b) (10-11) What can be the number of symmetry axes of a checked polyhedron, that is, of a polyhedron consisting of equal cubes which border one to another by plane facets?

    Official text Sharygin Geometry Olympiad 2007 official paper, page 1. Quoted with source.

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