number of symmetry axes of a checked polygon and polyhedron
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P6
April 25, 2019
geometrysymmetryaxespolygonpolyhedron
Problem Statement
a) 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) 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?