Can fractals help us perceive the world differently ?
I think that math has helped us in real life situations as everything around us seems to have an element of math in it. For Example; we have to pay our bills on time to prevent an interruption of the goods or service we signed up for. Another example that comes to mind is that we live on Earth that resembles a sphere in a 3 dimensional frame. Our beautiful mind can enable us to map a 3 dimensional earth into a flatter 2 dimensional earth and plot how the days and night would appear in 2D during the different times of a year.
However; is there a possibility that the dimension is not an integer but a fraction. The answer to the question is yes and we call the fractional dimension as fractals. Fractals can help us perceive the world differently by providing us with different perspectives about the same situation. What fascinates me about fractals is self-similarity.
Fractals are as real as the breath we take and more than just a figment of my imagination. For Example ; there are plants in nature that exhibit self similarity and a part of the plant like a branch may look like the plant itself. I am thinking that that the genes we pass on from one generation to another is based on self-similarity.
So the next time you see a daughter resemble her mother or a son resemble his father, the likelihood is that you may have just witnessed a live demonstration of the application of a fractal.
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