### Fractals (by Michelle So)

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Today in class we learnt about how the
coast line doesn’t have a definite measurement as since the coast line is not a
straight line. Therefore, we can only get an estimate of the coastline as it
will never be definite as there isn’t a scale which can measure all of the bits
and pieces of the coastline. This is known as the coastline paradox. This
relates to fractals as there are fractal-like properties in the coastline.

coastline, I also learnt a lot about fractals. Fractals are infinity complex
patterns that are self-similar across different scales. This means the fractals
goes on for infinity as it keep on repeating itself. In addition to this, I also
learnt that many fractals are found in nature. Some of these places include
coastline, flowers, river networks and many more. To me, fractals are very
striking as they are not just limited to geometric patterns but can also be
used to describe the progress in time. This is very intriguing to me as it
demonstrate how fractals are more than just shapes but instead are tools in
which are very useful to the world.

Favorite
Fractal

My favourite fractal was the Sierpinski
Triangle. The Sierpinski triangle was interesting to me as it not only a very
beautiful shape, but it is also very similar to the coastline. Using the
fractal, it demonstrates how the coastline cannot me measured to an exact
number. In addition to this, this fractal was my favourite because instead of
expanding out like the other fractals, it expands inwards. Furthermore, it can
be constructed as a curve of a plane, this is known as the Sierpinski’s arrow
cave.

#exploremaths

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