Now this is physics.We all know we always try to explain nature by simple modelings.To describe natural things we use euclidean objects like Sphere,Circles or Squares.The question here is why? Nature is never so simple(??I have a doubt on the term simple, so do many Scientists ).
Suppose it is your duty to measure the boarder between India and Pakistan.You took a scale of say 20 meter and measured it.You find the length to be X.Now your friend from Pakistan got the same job and whooala he found the length to be Y.Is he cheating? Obviously not .The reason is obviously he is using different scale.It is quite obvious that when keep on decreasing the length of the scale the total length will increase infinitely because if you keep on decreasing the scale you will have to take care of every finite details .Is not this like a breaking of curve into self repeating structure? Yes they are fractals.(Btw if it was for a perfect circle or square it would have converge to a certain length)
I don't have any intention to turn this page to a physics book,so I will show you the pictures :)
The basic structure is a Koch Curve .It is funny curve.It is continuous every where and differentiable no where.This how you make it
This was the basic Koch curve. Now I will show you many such curves which actually resembles natural things like mountain,turbulence,galaxy clusters and if we plot on a time scale the evolution too.
Is not it amazing all this beautiful structures forms only with some vary basic self repeating structure as in the first graph?The fractals also leads to a confirmation of the fact that nature is Self Organized.I wrote this article because I am too much obsessed with fractals right now.I should tag this as art rather than tagging it as science(:P)
Suppose it is your duty to measure the boarder between India and Pakistan.You took a scale of say 20 meter and measured it.You find the length to be X.Now your friend from Pakistan got the same job and whooala he found the length to be Y.Is he cheating? Obviously not .The reason is obviously he is using different scale.It is quite obvious that when keep on decreasing the length of the scale the total length will increase infinitely because if you keep on decreasing the scale you will have to take care of every finite details .Is not this like a breaking of curve into self repeating structure? Yes they are fractals.(Btw if it was for a perfect circle or square it would have converge to a certain length)
I don't have any intention to turn this page to a physics book,so I will show you the pictures :)
The basic structure is a Koch Curve .It is funny curve.It is continuous every where and differentiable no where.This how you make it
This was the basic Koch curve. Now I will show you many such curves which actually resembles natural things like mountain,turbulence,galaxy clusters and if we plot on a time scale the evolution too.
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| Dragon Curve |
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| Cantor Cube |
