The document discusses how mathematics is present in nature. It provides examples of symmetry, shapes, parallel lines, and the Fibonacci spiral that can be observed in the natural world. Radial and bilateral symmetry are seen in structures like flowers and the human body. Common shapes found in nature include spheres, hexagons used by bees to build hives efficiently, and cones formed by volcanoes. Parallel lines can be seen in dune formations, and the Fibonacci spiral appears in nautilus shells. The document aims to show how nature demonstrates mathematical concepts and patterns.

1. MATHEMATICS
IN
NATURE
Presented By: Vedita Taneja
Class: VI “A”

2. The Laws Of Nature Are But The Mathematical Thoughts
Of
God
Mathematics is everywhere in this universe. We
seldom note it. We enjoy nature and are not interested
in going deep about what mathematical idea is in it.
Here are a very few properties of mathematics that are
depicted in nature.
SYMMETRY
• Bilateral Symmetry
• Radial Symmetry
SHAPES
• Sphere
• Hexagons
• Cones
PARALLEL LINES
FIBONACCI SPIRAL

3. Symmetry is everywhere you look in
Nature
Symmetry is when a figure has two sides that are mirror images of one
another. It would then be possible to draw a line through a picture of the
object and along either side the image would look exactly the same. This
line would be called a line of symmetry.
One is Bilateral Symmetry in which
an object has two sides that are
mirror images of each other.
The other kind of symmetry is Radial
Symmetry. This is where there is a
center point and numerous lines of
symmetry could be drawn.
There are two kinds of
Symmetries

4. Bilateral Symmetry
The human body would be an excellent
example of a living being that has
Bilateral Symmetry.
Few more pictures in nature showing bilateral symmetry

5. Radial Symmetry
The most obvious geometric
example would be a circle
Few more pictures in nature
showing radial symmetry
Isolated-half-cut-
orange-with-perfect-
geometrical-shape

6. SHAPES
Geometry is the branch of mathematics that describes shapes
Sphere Hexagons Cone
A sphere is a perfectly round
geometrical object in three-dimensional
space, such as the shape of a round ball.
The shape of the Earth is very close to
that of an oblate spheroid, a sphere
flattened along the axis from pole to
pole such that there is a bulge around
the equator.
Hexagons are six-sided
polygons, closed, 2-dimensional, many-
sided figures with straight edges.
For a beehive, close packing is
important to maximise the use of space.
Hexagons fit most closely together
without any gaps; so hexagonal wax cells
are what bees create to store their eggs
and larvae.
A cone is a three-dimensional geometric
shape that tapers smoothly from a
flat, usually circular base to a point called
the apex or vertex.
Volcanoes form cones, the steepness and
height of which depends on the
runniness (viscosity) of the lava.
Fast, runny lava forms flatter cones;
thick, viscous lava forms steep-sided
cones.

7. Parallel Lines
In mathematics, Parallel Lines stretch to infinity, neither converging nor diverging
These parallel dunes in the Australian desert aren't perfect - the
physical world rarely is --

8. Fibonacci Spiral
If you construct a series of squares with lengths equal to the
Fibonacci numbers (1,1,2,3,5, etc) and trace a line through
the diagonals of each square, it forms a Fibonacci spiral
Many examples of the Fibonacci spiral can be seen in
nature, including in the chambers of a nautilus shell

9. Thanks
Presented By: Vedita Taneja
Class: VI “A”