Symmetry

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:

There are two types of Symmetry as follows:

• Symmetry in Geometry
• Symmetry in Mathematics

Symmetry in Geometry: Symmetry definition in geometry it means a sub-group. In isometrics consists of three or two dimensional space. In following operations

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