What is fibonacci sequence?
• Fibonacci sequence is a series of numbers that follow
a unique integer sequence.
• These numbers generate mathematical patterns that
can be found in all aspects of life.
• The patterns can be seen in everything from the
human body to the physiology of plants and animals.
• The fibonacci sequence is derived from the fibonacci
How are these fibonacci numbers
• These numbers are obtained from the formula-
• These numbers are obtained by adding the two
previous numbers in the sequence to obtain the next
HOW DOES THE FIBONACCI
• The Fibonacci sequence is as follows:
• As a rule the first 2 numbers in the sequence has to be
0 and 1 .All other numbers follow the rule of adding
the two previous numbers in the sequence.
EXAMPLE: 1+1=2, 2+3=5, 5+3=8
• Every third number in the sequence is even.
What is the history of the fibonacci
• The exact date of origin of the Fibonacci sequence is
• It is believed that contributions to the theory began
in 200 BC by Indian mathematicians whose studies
were based in the language of Sanskrit.
• The sequence was introduced to Western European
mathematicians in 1202 by Aka Fibonacci (famous as
the Leonardo of Pisa).
• His study of the sequence began with the breeding
patterns of rabbits. In which, he found rabbit
generations duplicated in accordance with the
• The Fibonacci rectangle is a rectangle which is further
divided into squares whose lengths are the
consecutive numbers of the Fibonacci sequence.
• This spiral is created by drawing circular arcs connecting the opposite corners of
squares in the Fibonacci rectangle.
• The numbers form what are called as Fibonacci rectangles. These rectangles are unique
because each rectangle has length of sides equal to the magnitude of the Fibonacci
• Within these rectangles we can create a spiral with cross sections equal to exactly
1.618 (the golden mean) with the corresponding angle of 137.5 degrees.
Fibonacci sequence in petal
• The Fibonacci sequence can be seen in most petal
patterns. For example, most daisies have 34,55or 89
petals and most common flowers have 5, 8 or 13 petals.
Fibonacci sequence in sunflowers
• The Fibonacci sequence can be found in a sunflower
heads seed arrangement .
• The arrangement of seeds corresponds to Fibonacci
spiral and they are arranged in an angle of 137.5
degrees which is also called the ‘golden angle’.