NATURE'S KEY TO BEAUTY

Why the flowers have 3 or 5 petals? Why we do not have circular or square mobile screens? Why the galaxies are spiral?

1. GOLDEN NUMBERS

1 1 2 3 5 8 13 21 34 ....
The above sequence is called Fibonacci sequence. Here, any number is the sum of preceding two numbers. The nature follows this series everywhere. Many flowers have 3 or 5 petals. Mostly 3 leaves are arranged spirally in a stem. Also pineapple scales follow 21 and 34 pattern.

2. GOLDEN RATIO:

In the above series, divide 3 by 2, you get 1.5. As the series progresses, dividing any number by the preceding number, you get the stable ratio 1.61803.... an irrational constant.
If you divide length by the breadth of mobile screen or length and breadth of credit card, mostly you will get this ratio. This ratio appeals to our eyes.
Bone lengths from tip of the finger to the elbow and facial features follow this ratio.

3. GOLDEN ANGLE:
Divide the total angle of the circle 360 degree by the golden ratio 1.618..., we get 222.5 degree. Subtract this 222.5 from 360, we get 137.5 degree - that is golden angle.
Go to a plant. Look at leaves on a stem. Mark one leaf. the immediate next leaf is present at angle 137.5 degree from the marked one and also at a slight height from the marked leaf. The next second leaf has also grown at an angle 137.5 degree from the preceding leaf. It goes on repeating. The advantage: all leaves will get adequate sunlight. The top layer of the leaves will not shadow the bottom layers. This happens only for the golden angle. All other angle simply fails.

4. GOLDEN SPIRAL:

Let us represent Fibonacci sequence in geometrical form.
1,1,2,3,5,8 ...
1. Construct one unit length squares side by side.
2. Add a another square of size 2 units above it.
3. Put a square of length 3 units left side.
4. Add a square of size 5 units at the bottom.
5. Repeat the process, move clockwise as far as the paper permits.
6. Join the diagonally opposite corners; starting from square one; again move clockwise; till you reach the last square.
7. You get a golden spiral which is geometrical representation of golden series.
The galaxies, arrangements of leaves, pattern of sea-shells, pattern of seeds in a sun-flower follow golden spiral.
These golden entities are yet another way to understand the nature.

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THE EARTH, A SUPER ORGANISM

JOIN MY COURSE: "Become a programmer in a day with python" A man called 'love lock' (what a name) proposed a theory called Gaia theory, named after Greek Goddess. It says, "Earth is a self-regulating organism like a human being. The organic life in it interacts with in-organic matter and maintains atmosphere, temperature and environment". Hence the earth is still suitable for the life to thrive. Imagine, in a particular place, there are lot of flowers. Some flowers are white and some are darkly coloured. We know, white reflects light and heat while dark absorbs the same. White flowers can thrive in hot climate. But dark flowers requires cold climate. The absorption and reflection balances and the environment reaches average, warm temperature at which both the flowers can co-exist. This is the essence of "Gaia" theory. On our earth, the oxygen constitute 20% of the atmosphere. The oxygen level is always mai

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. Inverted parabola shape is used in the construction of buildings and bridges. Because the shape is able to bear more weight. A plane

DISORDER IS THE "ORDER OF THE DAY"

Imagine a balloon full of air. The air molecules are moving randomly inside the balloon. Let us pierce the balloon with a pin. The air rushes out. Why should not the air molecules stay inside the balloon safely and ignore the little hole? That is not the way the world works. The molecules always "want to occupy as many states as possible". Hence the air goes out in the open to occupy more volume. The things always goes into disorder (entropy) and the disorder increases with time. The above statement is what we call "second law of thermodynamics". Consider a cup of coffee on the table. Suppose the heat from entire room flows to your cup of coffee, the coffee will boil and the rest of the room will freeze. Freezing means bringing things to order and arrangement. It violates the second law. Hence it will never happen. Hence heat must flow from high temperature to low temperature and not the other way. The air molecules in y

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