Rotational Symmetry

Guess an object rotated once, twice, and thrice or may be as many times, but still the observation angle and view remains same, those kinds of objects have rotational symmetry, means rotate them through their symmetrical line it will appear same.

An object might have more than one rotational-symmetry, for instance its reflections against any reflection line may also be considered as symmetrical line. The question often arrives in our mind that what is rotational symmetry. The answer is simple, any such object when rotated as many times but still appears same has rotational-symmetry.

As such talking more specifically in terms of science there are many theoretical explanations of the same, but it can be expressed as simple as stated above.

Many mathematicians have the perception that this could be the characteristics of the object, but preciously speaking this is not yet proved. Much rotational symmetry definition is under consideration, all ending with same conclusions.

Rotational symmetry of order n or n fold rotational-symmetry is known as discrete rotational form symmetry of the nth order.  For n = 1 means it is rotated 180 degrees, for n = 2 it means rotated at 120 degrees, and it goes on as the value of n changes.

We can say when a shape is rotated about any fixed point and if it comes to rest in such a position and looks exactly like the original. Some of the rotational symmetry examples are an equilateral triangle, or a tetrahedral structure, no matter how much we rotate the shape is always same, when we observe it from any angle.

Another good example is the pizza of round shape, all pieces of pizza are distributes in equal shapes and size. If the shape has rotational-symmetry then it must eighter have line symmetry or point symmetry. For example a pentagon star has five points and thus has five lines of symmetry but does not have points of symmetry.

Only an object which has point symmetry or line symmetry can have rotational form symmetry. Thus we can have lot more examples in real world. Let us take the alphabetical letters, let us talk about the letter “I”, it has two line of symmetry and one point of symmetry hence this would be considered as rotational-symmetry on the basis of its rotation. The geometry of rotational-symmetry is much better explained in rotational dynamics of physics.