Symmetry

Definition:-

Symmetry generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically pleasing proportionality and balance; such that it reflects beauty or perfection. The second meaning of Symmetry is a precise and well-defined concept of balance or "patterned self-similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise.

In formal terms, we say that a mathematical object is symmetric with respect to a given mathematical operation, if, when applied to the object, this operation preserves some property of the object. The set of operations that preserve a given property of the object form a group. Two objects are symmetric to each other with respect to a given group of operations if one is obtained from the other by some of the operations (and vice versa).

Types of Symmetry:

In this Blog I will also share with you the information on the different types of Symmetry.In the following two different types of symmetry are given:

1. Symmetry in geometry
2. Symmetry in mathematics


Symmetry in geometry:

Symmetry definition in geometry it means a sub-group.Our next concern is the very important topic on Isometrics,the most common question here is-What does Isometrics consists of?? Isometrics consists of three or two dimensional space. In following operations:

1. Reflectional Symmetry(FLIP)
2. Rotational Symmetry (TURN)
3. Translational Symmetry (SLIDE)

Reflectional symmetry (FLIP):

Splits the image into one side of the half side of mirror image. It is also called line or mirror symmetry. A Reflectional symmetry is called FLIP.

Rotational symmetry (TURN):

To turn the center point of an object into degress. A Rotational symmetry is called TURN.

Translational symmetry (SLIDE):

In straight line is divided into sequence line. A Translational symmetry is called SLIDE.

Symmetry in Mathematics

In mathematical operation, to apply the object into operation. The set of operations to form a group. Two object form a group of operations. To apply the objects into symmetry. So it is called a symmetry definition in mathematics.

Hope you like the above example of Symmetry.Please leave your comments, if you have any doubts.