What is the relation between order of rotation and number of axes of symmetry of a geometrical figure?

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2026-05-02 21:55

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The order of rotation of a geometrical figure refers to the number of times it can be rotated to look the same within a full 360-degree rotation. The number of axes of symmetry is the number of lines that can be drawn through the figure such that each side is a mirror image of the other. Generally, figures with higher orders of rotation tend to have more axes of symmetry, as rotational symmetry often implies reflective symmetry. However, this is not a strict rule, as some shapes may possess high rotational symmetry yet fewer axes of symmetry.

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