Spider webs are made from spider silk proteins called spinnerets. Spider webs serve several purposes, including shelter, courtship, and trapping prey. To construct a web, a spider first connects two endpoints with silk threads to form a bridge. It then adds more threads, pulling them into a Y shape. The spider joins three points to form a frame, then releases radial threads from the center to strengthen the web. Finally, it spins spirally from the center to complete the web. Studies show that spider webs exhibit properties consistent with the Fibonacci sequence and golden ratio, which allows the web to be both strong and compact.

1. SPIDERS WEB
When spiders web unite they can tie
up the lion….

2. WHAT ARE SPIDER
WEBS AND WHY ARE
THE MADE?
Spider webs are made from
spider silk , most versatile
material on the earth.
Actually they are the protein also
known as spinnerets .
Spider webs are mostly use for
shelter, courtship and all kinds of
ways to trap prey.

3. HOW ARE SPIDERS WEB MADE?
First it connects two end
points like two branches
with silk thread, forming a
bridge
It then releases a lose
thread from its centre
It adds a new thread.

4. Pulling it to form a Y shape.
A model is created
It joins three points to form a
frame

5. Then it releases radial thread to
become strong enough.
Finally from the center it spins spirally
completing the web.
The study shows that the radial angle
of orientation 12.7 degree with 5mm
distance for the spirals mesh size

6. Is spider using fibonacci sequence??
Spider weaves structure together making sheets, tangling and
funnel webs.
The Fibonacci sequence allows for the web to be strengthened
and also remain compact.
Nature uses Fibonacci sequence to accommodate growth and
length of the potential web.

7. What is Fibonacci series ?
 A series of numbers in which each number is sum of two
preceding numbers is known as Fibonacci series
0,1,1,2,3,5,8,13,21…
What is golden ratio?
1.In mathematics, two quantities are in the golden ratio if their ratio is the
same as the ratio of their sum to the larger of the two quantities.
2.The golden ratio is a mathematical constant approximately 1.6180339887.
The golden ratio is also known as the most aesthetic ratio between the two
sides of a rectangle.

9. What is the relation between Fibonacci
sequence and golden ratio?
+The ratios of sequential
Fibonacci numbers (2/1, 3/2,
5/3, etc.) approach the golden
ratio. In fact, the higher the
Fibonacci numbers, the closer
their relationship is to 1.618.
The golden ratio is sometimes
called the "divine proportion,"
because of its frequency in the
natural world.

10. The golden triangle is an isosceles
triangle with the angles of 72
degree -72 degree-36 degree .
If you divide the long side by the
short side you get Phi or the golden
ratio.
This triangle is also inherent in the
creation of pentagon.
By dividing in half the long side of
the triangle you will find a vertex
point of a 36 degree – 36 degree-
108 degree triangle.
The vertex just found is the center
point for swinging arc.
By repeating the process of
creating a newer, smaller triangle
angle and again swinging the new
arc, the finalized infinite spiral is
created.

11. PRESENTED BY- NEHA RANADE