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A hexagon can have rotational symmetry of order 1, 2, 3 or 6.
A hexagon can have rotational symmetry of order 1, 2, 3 or 6.It can have 0, 1, 2 or 6 axes of symmetry.
A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.
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Nothing has 1 order of rotational symmetry because in rotational symmetry 1 is none.