
You know me and you know mini me!
Do you know fractals?
Do you know what is the similarity between Lightning bolts and a broccoli?
Or even you lungs!?
Well they are all fractals!
Fractals are infinitely complex mathematical shapes or patterns characterized by self-similarity, meaning they look similar at different scales of magnification!
They are created through the repeated iteration of a simple process, leading to a never-ending pattern! They finally become so complex that they cannot be fully described by traditional Euclidean geometry!
Fractals are found in nature, such as in trees, rivers, and coastlines, and are used in various fields like computer graphics and art
The issue with fractals is that although they start simple they become infinitely complex because the repeating process can continue indefinitely!
Unlike traditional shapes (like a line having a dimension of 1 or a plane having 2), fractals have a dimension that is often a fraction, reflecting their intricate and fragmented nature!
So we have some natural fractals in nature like the Lightning bolts, Coastlines
Ferns and broccoli!
Even the circulatory and respiratory systems (lungs) are fractals! Then you have the favorite sketches of any kid! A house wit a river in the center and you have the rising sun with the mountain! The Mountain ranges are fractals!
Then you have a complex fractal called the The Koch snowflake!
This is a fractal curve that starts with an equilateral triangle and repeatedly adds an equilateral triangle to the middle third of each existing side, creating a self-similar pattern that resembles a snowflake. It has an infinite perimeter but a finite area, a key property of this famous mathematical shape described by Swedish mathematician Helge von Koch in 1904!
The most defining feature is the repeating nature of the pattern at various scales. Zooming in on a fractal reveals smaller versions of the same overall shape.
Then again if you see mothers everywhere; by and large you would see the different versions of the same thing!
Now that is a fact nor fractal!
Then again I know for a fact that I had the best mother ever!
Five years since you have left me amma and still the pain is the same…
Lucky are those who can say Good night mom!
Shubh ratri…