Understand the Mysteries of Life through Advanced Fibonacci Numbers
Fibonacci series is a very significant and practical sequence of numbers in which first two digits are 0 and 1. The sequence is formed in a manner that every coming number of the series is the sum of most recent two numbers. Fibonacci series is given by:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…
Positive integers which are perfect square are also Fibonacci numbers. If it is identified that an integer Z is a Fibonacci number then we can calculate an n in such a way that:
F (n) = Z
Where Z = integer
Golden Ratio
Fibonacci series has very unique properties. One of its matchless and very important properties is its golden ratio. This means that the ratio of every two consecutive Fibonacci numbers comes out to be 1.618 and; generally, it is noted as 1.6. This golden ratio is very effective and is used in our practical lives on a large scale.
In God’s Creations
This series is also involved on a wide range in nature. Fibonacci series can be seen in the display of pine cone, uncoiling of a flower or leaf, array of leaves on a plant’s stem and reproduction of rabbits. The sequence is also involved in human body. The ratio between the width of nostrils and the width of lower lip is equal to the golden ratio. The ratio between the first finger and complete hand, the ratio between the hand and arm is also golden ratio of Fibonacci series.
The prime numbers in Fibonacci sequence are called as Fibonacci primes. Some of the Fibonacci primes are:
2, 3, 5, 13, 233…
Properties and Link to Pascal’s Triangle
Pascal’s triangle is a not a triangle of lines but of numbers. It has many numbers written in a particular sequence and producing certain effects and results. Various works of art and architecture and those of God’s creations represent various combinations of numerous patterns of numbers contained in Pascal’s triangle. Thus, the variations of this triangle will bring to the forefront many ways to understand the mysteries of the world. Look at the triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Here, one number is the sum of the above two numbers and it represents the unusual and irrational number Phi (Φ). Blaise Pascal also explained the same Fibonacci numbers through his triangle. So, both of the concepts may be understood in combination with each other.
Various mysteries of the world and miracles have been explained by the Fibonacci numbers, the golden ratio, Pascal’s triangle and many other such findings. If human beings want to understand various happenings in the world as well as in the universe, they have to turn their attention towards these unusual as well as irrational numbers. This way many mysteries will be unfolded and the laws of nature be known to human beings.
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