Symmetry is a mathematical concept where an object appears identical after some transformation such as reflection, rotation, or translation. Geometric shapes with symmetry appeal to our visual perception. Tessellations are patterns made of shapes that fit together without gaps. Symmetry is important in fields like chemistry for understanding molecular structures, in art for creating balance, and in music where symmetrical patterns can sound pleasing. The document discusses definitions of different types of symmetry and applications in areas like science, art, and music to highlight symmetry's significance.

1. Symmetry
Discover the beauty of symmetry in mathematics and its importance in
our world!
By Charithraa A.R

2. Symmetry Definition
Symmetry also known as reflection symmetry, an object is reflected
across a specific line and appears identical to the original.

3. Symmetry in Geometry
Symmetry in Shapes
Geometric shapes that have symmetry are
pleasing to our eyes. Fractals are one of the
key examples of naturally occurring symmetry
in shapes.
Tessellations
A repeated pattern made up of a variety of
geometric shapes, without any gaps or
overlaps. Tessellations can have a variety of
symmetry types.

4. Symmetry Definition
Mirror Symmetry
Also known as reflection
symmetry, an object is
reflected across a
specific line and appears
identical to the original.
Rotational
Symmetry
When an object can be
rotated by a certain
angle and it appears
identical to the original.
Translational
Symmetry
When an object appears
to be shifted without any
change.

5. Applications of Symmetry
1
Chemistry
The study of crystalline
structures, bonding, and
molecular symmetry is
important in
understanding the
behavior of chemicals.
2
Art
Artists use symmetry in
their work to create
balance and harmony.
Examples of this can be
seen in architecture as
well as other art forms.
3
Music
Music that is considered
symmetrical can be
pleasing to the ear and
mind. Symmetry in music
can be observed in note
patterns, rhythms, and
beats.

6. Conclusion
1 Summary of Key Points
Symmetry is a fascinating mathematical concept with many
different applications in science, art, and music.
2 Importance of Symmetry
Symmetry is part of our everyday life. Its use can be seen in both
the natural and the human-made world, which highlights its
importance.