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2 lines intersecting an angle 46^o are axes of symmetry, min no of axes

Source: Sharygin 2006 VIII CR 1

August 22, 2019
symmetrygeometryminimumaxes

Problem Statement

Two straight lines intersecting at an angle of 46o46^o are the axes of symmetry of the figure FF on the plane. What is the smallest number of axes of symmetry this figure can have?