**What makes us different from other species (birds, animals, insects, fish, etc.)?***Is it the look and feel or the intelligence or the ability to adapt the environment to suit our needs rather than adapting to the environment?*

The answer lies in one single word. The most dreaded subject we learned in our school.

**“Mathematics”**

Mathematics is the language of science. Should we say the language of a highly developed consciousness? It is the only Universal language; using mathematics, you can even talk to an Alien civilization.

*“An equation means nothing to me unless it expresses a thought of God.”*

- Srinivasa Ramanujan (1887 – 1920)

“Equations are more important to me because politics is for the present, but an equation is something for eternity.”

- Albert Einstein (1879 – 1955)

- Srinivasa Ramanujan (1887 – 1920)

“Equations are more important to me because politics is for the present, but an equation is something for eternity.”

- Albert Einstein (1879 – 1955)

So, what makes us different from other species is our ability to understand the simple counting to complex equations.

As Ramanujan expressed – “God must be a mathematician then”. Math is ingrained in our everyday life even though we are not aware of it.

0101101000100000010010010101011001010111001000000100111101001100

0101010001001100001000000100011101010010010011010010000001010110

0101101001011000010100110010000001001001010101100100100001000110

01001111010001110010000001000111010001100100110101010110

The above zero’s and ones look like a nice pattern, isn't it?. However, it could be your email getting transmitted across the globe. The above data is represented using the binary number system (Computers use binary number system). There is a hidden message in the above zeros, and one’s see if you can decode the message.

The following table shows two interesting number sequences in mathematics. These Sequences has a lot of impact in our daily life and the surroundings.

0101101000100000010010010101011001010111001000000100111101001100

0101010001001100001000000100011101010010010011010010000001010110

0101101001011000010100110010000001001001010101100100100001000110

01001111010001110010000001000111010001100100110101010110

The above zero’s and ones look like a nice pattern, isn't it?. However, it could be your email getting transmitted across the globe. The above data is represented using the binary number system (Computers use binary number system). There is a hidden message in the above zeros, and one’s see if you can decode the message.

*Clues to decode the message*

- I used a cipher, which was used in the biblical.l times.

- The total number of words in the message equals to a Fibonacci number- I used a cipher, which was used in the biblical.l times.

- The total number of words in the message equals to a Fibonacci number

The following table shows two interesting number sequences in mathematics. These Sequences has a lot of impact in our daily life and the surroundings.

**Two interesting number sequences**

Fibonacci Numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597.......

Prime Numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61…........

Now, let us look at the some of the wonders/puzzles of mathematics. It includes Fibonacci Number & Golden Ratio, Number Zero, Pi, Imaginary number and the Infinite number (read more about these 5 Numbers by Simon Singh). Among these, Fibonacci number considered as part of nature.

**Fibonacci Series**

Leonardo da Pisa (aka Leonardo Fibonacci) an Italian mathematician (1175-1250) introduced the Hindu-Arabic number system to Europe the system we use today with ten digits decimal system with the symbol for zero. He discovered a number series where you add the previous two values to get the new value which later known as the Fibonacci series. He wrote a famous book ‘Liber Abaci’ on how to do arithmetic using the decimal system in 1202.

Here are some of the interesting facts of Fibonacci number related to nature. Let us take a close look at flowers; the interesting fact over here is the number of petals on a flower is often one of the Fibonacci numbers.

**1**petal white calla lily flower,

**2**petals euphorbia flower are rare,

**3**petals trillium flowers are common, Hundred of species of

**5**petals columbine flower in wild and cultivated,

**8**petals bloodroot flowers are not common but there quite a number of species,

**13**petals black-eyed Susan. The outer ring of ray florets in the daisy family illustrates the Fibonacci sequence as well. Daisies with 13, 21, 34, 55 or 89 petals are common.

**21**petals Shasta daisy flower. Ordinary field daisies have

**34**petals. (Read more).

**Golden Ratio (Phi = 1.618033988749894….)**

You take any Fibonacci number and divide it by the previous number you will get a ratio around 1.618… It occurs in nature as a golden angle 137.5 degrees (360-360/phi). Take any leaves on a plant, the growth of the leaves on a stem follows a spiral path to the top at an angle 137.5 degrees. This angle helps the leaves to maximize the exposure to sunlight and minimize the shadow it casts on other leaves. Euclid defined the Golden ratio around 300 BC. Luca Pacioli the 15th-century Italian mathematician to equate the Golden Ratio with the incomprehensibility of the God. The most surprising case for the Golden Ratio is its association with Black Holes a discovery made by Paul Davies of the University of Adelaide in 1989 (read the article ‘The Golden Rule’).

The nautilus shell’s (cross-section is shown on the left side) growth pattern of its chambers is governed by the golden ratio. The Greeks incorporated the Golden Ratio into their Art and Architecture – many of their building’s including Parthenon, generally considered to be antiquity’s most perfect structure.

**Prime Number**

Every positive number is either a prime Number or a by-product of Primes. However, its been ages since hunting for the formula to predict the prime numbers is on and the complete formula to predict the prime numbers still eludes us. Following are the effects of finding the formula to predict prime numbers.

- The collapse of current cryptography (Public / Private Key infrastructure) standards (used in SSL / TLS).

- The collapse of Internet Secure Communications (Banking and Credit Card transactions)

**Nature & Mathematics**

After looking at the above 3 Numbers (Fibonacci, Golden Ratio, Prime), it is interesting to know that the Nature still hides a lot of information from us or rather given subtle clue’s for us discover the ultimate truth and mathematics is one of the key science which helps us to understand the mysteries of the nature.

So, as a species, our ability to understand the nature is far superior to other species in this planet.

*What is the next level of our consciousness? Is it nirvana? Or perfection from the scientific point of view? Are there any species who have achieved the next level of consciousness?*

Imagine an entire society in a state of nirvana!

A state where science in a frozen state, while the self-blends with the Oneness

Imagine an entire society in a state of nirvana!

A state where science in a frozen state, while the self-blends with the Oneness

*"The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable."*

*- George Bernard Shaw (1856 - 1950)*

**Glossary**

Prime Number | Prime Number is a positive integer not divisible without a remainder by any positive integer other than itself and one. Example. 2, 3, 5, 7, 11, 13 are Primes. |

Mersenne Prime | Named after the French Monk and mathematician Marin Mersenne, who was born in 1588. He investigated a particular type of Prime Number 2P-1 where P is an ordinary prime number. |

Fibonacci Number | Fibonacci number is a series of the number generated by adding the two preceding numbers. Example. 1, 1, 2, 3, 5, 8, 13, 21, 34 etc Dividing a Fibonacci number by a previous one For Example., 21/13 or 8/5 results in an answer close to 1.61803 which is known as a Golden Ratio. |

Golden Ratio | 1.618033988749894848204586834365638117720……. This special number approximately represents the Golden ratio, which is denoted by the Greek letter Phi. The digits of the Golden ratio go on forever without repeating. |

Pi | Pi represents the number 3.14159265… which is the ratio of the circumference of a circle to its diameter. An irrational number that cannot be expressed as the ratio of two whole numbers and has a random decimal string of infinite length. |

**Further Reading**

**Internet**

1. Plus Magazine –The Life and numbers of Fibonacci

2. Guardian UK – The Golden Rule

3. Wolfram Research – Fibonacci Number

4. Math Forum – Fibonacci Number and the Golden Ratio

5. American Scientist – Did Mozart use the Golden Section?

6. Web – The Mathematical Magic of the Fibonacci Numbers

7. Web – Fibonacci Number & Golden Ratio in Art, Architecture & Music

8. Web – The Golden Mean in Art (Leonardo Da Vinci)

9. Answers.Com – Fibonacci Numbers

10. Answers.com – Golden Ratio

11. Web – The Golden Ratio

12. BBC – 5 Numbers by Simon Singh

13. Wolfram Research – Prime Number

14. Answers.Com –Prime Numbers

15. University of Tennessee – The Largest Known Prime

16. Wikipedia – GIMPS – Great Internet Mersenne Prime Search

17. Clay Mathematics Institute – Riemann Hypothesis

18. Answers.com – Pi

1. Wolfram Research –Mathematica 5.2

2. Mersenne.org – Free GIMPS software to search for primes

2. Marcus du Sautoy – The Music of the Primes: Searching to solve the greatest mystery in mathematics

3. Simon Singh –The Code Book

4. David Wells –Prime Numbers: The most mysterious figures in Math

5. David Darling –Equations of Eternity

7. Web – Fibonacci Number & Golden Ratio in Art, Architecture & Music

8. Web – The Golden Mean in Art (Leonardo Da Vinci)

9. Answers.Com – Fibonacci Numbers

10. Answers.com – Golden Ratio

11. Web – The Golden Ratio

12. BBC – 5 Numbers by Simon Singh

13. Wolfram Research – Prime Number

14. Answers.Com –Prime Numbers

15. University of Tennessee – The Largest Known Prime

16. Wikipedia – GIMPS – Great Internet Mersenne Prime Search

17. Clay Mathematics Institute – Riemann Hypothesis

18. Answers.com – Pi

**Software Products**1. Wolfram Research –Mathematica 5.2

2. Mersenne.org – Free GIMPS software to search for primes

**Books**1. Mario Livio – The Golden Ratio2. Marcus du Sautoy – The Music of the Primes: Searching to solve the greatest mystery in mathematics

3. Simon Singh –The Code Book

4. David Wells –Prime Numbers: The most mysterious figures in Math

5. David Darling –Equations of Eternity