Monday, June 02, 2008

Warning: Geeky/nerdy stuff. Do not blame me if you feel drowsy/angry/irritated.

I felt the need to express my opinions about the mystery of the circle and its soul, pi.
The problem with school textbooks is that it always lacks the charm and storytelling required to handle a beautiful subject like mathematics and geometry. I think that its no less than poetry when it comes to, what they call, inner beauty.
The most interesting and probably the earliest influence geometry has on mankind is the circle. It might have started from the life-giving sun or the savior moon, was adopted into dance forms and drawings. I don't know how long did it take for our ancestor to embody the sun and the moon into wood and stone and finally, "invent the wheel". I am sure that it must have been a triumphant moment for that man/woman. Since then, it surely was a long journey as the wheel was refined and then slowly adopted into almost all forms of mechanical motion available to us today. Sure made the lazy men happy.. huh?
While the brutes were whipping the beasts of burden to pull cart loads of merchandise and wage war on their golden chariots; another group of cynical and lonely people were trying to understand this rather ubiquitous shape and were perplexed by its simplicity.
A circle is essentially a line which thoroughly loves a point and keeps trying endlessly to keep facing it but can never meet it. Bound by this constant desire to unite with the point, this line is rendered as an endless loop; a ring.
Probably the first circle was drawn by the same method it is drawn today. All one needs is two small sticks, a string and mother earth. Tie the string to both the sticks. Keep one standing stable on the ground and keep moving the other one such that the string is always tense and stretched outwards. The holy mark thus made is a circle. The only mark the blind stick leaves on the ground is a point, the center.
Well, whats so great about this?
This seemingly simple creation started gaining more attention when the twins; Mathematics and Geometry could not reconcile with each other on its measurement. Certain old people with longish white beards and robes found that there was a fixed proportion to the perimeter of the circle and its width; the diameter. They found it to be about thrice the diameter. As soon as some of them tried to find the exact value, they reached the mouth of a bottomless abyss.
While advanced number systems, fractions and decimals were catching up and were finding their way into the modern world. Wise men tried to express this mysterious ratio, Pi, through fractions and decimals. But their efforts were in vain. They soon realized that this value is unachievable. It is difficult to digest the fact that though everyone can draw a circle, see a circle, construct a circle; but no one knows it truly.

There are many connecting stories and examples with the above mentioned Pi dilemma. I will write about it soon.