9 June 2013

My brain is open..

This is one of the favourite line of great mathematician, Paul Erdős, and he used to say this to anyone, when discussing any mathematical problem. And so other guy, opens his heart to Paul, and their thoughts about the problem.
Until today, I thought it was cool of Paul, that he used to say this statement, but today I've figured it out the freedom, that this simple sentence allows, to both Paul and his colleague.

I was reading about chaos today, and after some reading, I had some rambling thoughts about nature of path that leads to chaos. So, I went outside to fill water, and on water cooler, I noticed a strange thing. There were self similar cluster of water droplets, where each droplet had a peninsular form at their bottom. I can figure out, droplets were nothing but condensed water on cold water cooler, but thing I couldn't figure out is that why there is a self-similarity.  And another cool thing is that, I found out, at the bottom-right part of this image, that there was a cluster of droplets, whose collective size was equivalent to the size of bigger neighbouring droplets, and they exhibited the same peninsular structure. This particular behaviour typically involves three major systems, Condensation process, Winds and humid weather, and the surface of cooler. These three systems, together are interacting to make such self-similar structure. When viewed this system laterally, with 180° line of sight, the whole view resembles, when we witness the first stages of water ice. 

A cluster of condensed water droplets

There are still many hidden factors in this particular picture, and physics behind it remains mystery.

It is amazing that there are the things that are so close to us, which represents so much of knowledge, and yet most of the times, our brain does not open to such possibilities. I cannot figure out the reason for phenomenon yet, but I'm happy that I can see, even if it is little bit. So I hope, one day I could say to my colleagues, My brain is open..          

No comments:

Post a Comment