Final answer:
A shape cannot have more than 360 degrees of rotational symmetry for a single rotation, but three-dimensional objects like cubes can have separate rotations around different axes that cumulatively exceed 360 degrees.
Step-by-step explanation:
The question asks whether a shape can have more than 360 degrees of rotational symmetry. In geometry, rotational symmetry, or radial symmetry, of a two-dimensional shape is when the shape matches itself over a rotation of less than one full turn (less than 360 degrees). However, in three-dimensional objects, such as in certain molecules or polyhedra, one can imagine rotations that cumulatively exceed 360 degrees through separate rotational symmetries about different axes. For example, a cube can be rotated 90° around any one of its three C4 axes and also 120° around any one of its four C3 axes, which run from corner to corner. Although these are separate rotation actions, the multiple axes in three-dimensional objects could be conceptually associated with rotations that add up to more than 360° cumulatively, but these would not represent a single rotational symmetry operation.