Thursday, July 1, 2010

Mathematical Definition of Rotational Symmetry

Introduction:
            The definition of rotational symmetry is described as an angle, while we turn abnormally a shape in its middle point. From the definition of rotational symmetry, you may observe that at certain angle, the shape corresponds with its not rotated itself. When this occurs, such a rotation is called rotational symmetry. The number of time the rotational symmetry fits on to itself in one twist.

Rotational Symmetry:

Definition of rotational symmetry produces the following terms which is depending on the symmetry.
  • Reflection symmetry
  • Rotational symmetry
  • Translational symmetry
  • Glide reflection symmetry
  • Rotoreflection symmetry
1) Definition of rotation: The definition of rotation states that turn around the shape on it around all rotation has depending on middle point and an angle.
2) Definition of translation: Translation is in movement without rotating or reproducing, each conversion has depending on distance and a direction.
3) Definition of reflection:  The definition of reflection is describing as; reflection is appeared to be mirror shape. Each reflection has a mirror line. If we have rotary motion mirror reflection will arises.
4) Definition of glide reflection: It is the last type of symmetry it’s a group of reflection, conservation length of the direction of mirror line.


Hope you liked the above explanation. Please leave your comments, if you have any doubts.

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