Six - three from diagonal to diagonal, three from midpoint of a side to midpoint to a side.
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A regular 6 sided hexagon has 6 lines of symmetry
6 lines of symmetry for a 2-d hexagon
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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.
It can have 1, 2 or 3 lines of symmetry.