peaceful mornings
i love imagination.
And Fractals!
Here's an example of how cool math is!!
This is a fractal. It's basically designed from random probabilities that then select one matrix transformation out of 4. From this, it outputs a single point on a plot, then it iterates this up to 10,000 times, plotting 10,000 (some what random) points from the above loop. To make this more easier to understand, this program makes a new plot every time it's run since it's based from randomness. This just so happens to mimic a fern. I found this really cool, if I kept running the program (making new plots of the fern) then it actually looked like it was waving in the wind. Quite cool! (For anyone interested, this was made using Matlab)
Fractals are seen everywhere in nature from the bronchial branches in your lungs, to the design of snowflakes and even sea organisms. Fractals are also used in 3d effects for movies, i.e. computer generated flames and designing mountains. It's amazing! Fractals mimic nature so much because like nature, fractals are where order meets total random chaos.