This document discusses different types of symmetry found in nature, architecture, art, religious symbols, and music. It provides examples of line symmetry seen in leaves, snowflakes, and butterflies. Architectural symmetry is seen at various scales from overall building designs to individual elements. Symmetry is also used in art forms like beadwork and furniture as well as religious symbols like the Star of David. In music, symmetry has been used as a compositional constraint and in concepts of permutation and invariance. Rotational symmetry makes an object look the same after certain rotations and examples include objects with order 3 and order 6 rotational symmetry.

1. Symmetry
School Project
Done By Manali

2. Index
• Line symmetry :-
1.Symmetry in Nature
2.Symmetry in Architecture
3.Symmetry in Art
4.Symmetry in Religious Symbols
5.Symmetry in music
• Rotational symmetry

3. Symmetry in Nature
• Divide the leaf in half, you
will find that one half has
the same shape as the
other half.
• The snowflake will divide
into six half.
• The butterfly will be
divided by one line of
symmetry.
• Therefore line symmetry
divides an object into
equal parts.

5. Symmetry in Architecture
• Symmetry finds its ways
into architecture at every
scale for examples:-
- from the overall external
views.
- through the layout of the
individual floor plans.
- down to the design of
individual building
elements such as
intricately caved doors,
stained glass windows.

7. Symmetry in Art
• The concept of
symmetry is applied
to the design of
objects of all shapes
and sizes.
• Some examples
include beadwork,
furniture, masks,
musical instruments,
and many other
endeavors.

9. Symmetry in Religious Symbols
• Symmetries are often
an integral part of the
symbols of world
religions.
• Some examples are
Judaism's Star of
David, Christianity's
cross, Sikhism's
khanda.

11. Symmetry in Music
• Symmetry has been
used as a formal
constraint by many
composers, such as
the arch (swell).
• Symmetry concepts
of permutation and
invariance were used
in classical music.

13. Rotational Symmetry
An object with rotational symmetry is an
object that looks the same after a certain
amount of rotation.
Order 3 Order 6

14. All objects either have one or more
than one rotational symmetry for eg:-
Order 1 Order 5

16. THANK YOU!
Done by Manali