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Since stars are normally spherical objects, they have rotational symmetry of infinite order.
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
Rotational symmetry is determining whether a shape has symmetry when it is rotated from the center. For example: if you have a star fish, it does have rotational symmetry because you can rotate the star fish 5 times and their still be symmetry. If the object has rotational symmetry, you then can determine the percentage and order of the ratational symmetry. The percentage is how much out of 100% the object is rotated to find symmetry. The order is how many times it is to be rotated before the object has returned to its origiinal position. Take the star fish example. It can be rotated 5 times (each turn having symmatry). The percentage of rotation would be 20%, and the order would be 5.
Corundum crystals belong to the ditrigonal-scalenohedral class of the trigonal symmetry D63d - R 3-C(L33L23PC) with symmetry elements: • Mirror-turn axis of the sixth order (ternary inversion axis) • Three axes of the second order normal to it • Three symmetry planes normal to the axes of the second order and intercrossing along the axis of the highest order • Symmetry center
It need not have any, but can have as many as the number of points on the start.