ANSWERS: 1
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If it's plain on both sides then a three dimensional flag has: A 2-fold axis of rotational symmetry perpendicular to the flag, through the center. A 2-fold axis of rotational symmetry horizontally through the center. A 2-fold axis of rotational symmetry vertically through the center. A plane of mirror symmetry horizontally through the center. A plane of mirror symmetry vertically though the center. Considering the pattern on the face of the flag the maximum amount of symmetry is: a point around which there is a 2-fold rotational symmetry and two lines of mirror symmetry, both through the center, one horizontal, one vertical.
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