A regular hexagon has rotational symmetry, meaning it can be rotated about its center and still look the same at certain angles.
To find the degrees of rotation that map the hexagon onto itself, we divide the full rotation of 360° by the number of sides of the hexagon, which is 6.
Calculating this gives:
\[ \frac{360^\circ}{6} = 60^\circ \]
The possible rotations that map a regular hexagon onto itself are therefore:
- \(0^\circ\) (the identity rotation, which does nothing),
- \(60^\circ\),
- \(120^\circ\),
- \(180^\circ\),
- \(240^\circ\), and
- \(300^\circ\).
Excluding \(360^\circ\), the largest degree of rotation that would turn a regular hexagon onto itself is:
\[ \boxed{300^\circ} \]
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