Sunday, December 8, 2013

Fractals


Hello everybody! Now, I'll explain a bit of the fractals.

Fractals are typically self-similar patterns, which means that it's seen the same from near as from far. Fractals may be exactly the same at every scale, or they may be nearly the same at different scales.

Using this, there's an interesting aplication of fractals that may surprise you. Upon measuring Great Britain's coast, one may assume it measures 18000 km long, but if one measures it more precisely, it measures nearly as twice as long.


Also, the image of the snowflake shows that with every division the lenght of the perimeter increases by 4/3 each time, so the last frame of the GIF is (4/3)^6 times longer, or a bit more than five times and a half (5,61865569...).

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