In addition to a 90-degree rotation, a square will also map onto itself with rotations of 180 degrees and 270 degrees around its center. A 180-degree rotation flips the square upside down, while a 270-degree rotation is equivalent to a 90-degree rotation in the opposite direction. Therefore, the angles of rotation less than 360 degrees that result in the square mapping onto itself are 90 degrees, 180 degrees, and 270 degrees.
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