Fractals all around us

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Recently, for a math assignment I had to make a title page. There were zero limitations and it challenged me to think creatively. How can I combine math and art to produce a creative piece that has many levels of depth? The answer was staring me in the face; it was fractals!

Fractals themselves are just mathematical equations that are represented through patterns and images. Some of the ones I tried to draw (not an easy task, I fear) included the tree fractal, the dragon fractal, the Sierpinski triangle, and the T-square fractal. All of them seemed to go on infinitely and my hand was definitely beginning to notice that.

I’m no Picasso by any stretch, but fractals can be created by anyone through practice and dedication, no joke. As long as you can draw a straight line, you can exceed as a fractal artist.

For fractals, precision and accuracy are the biggest challenges you’ll encounter. Sure, making them on the computer using some sort of software can get you the exact fractal, but drawing them by hand is where the fun’s at.

This is some fractal art I created and composed into a scene with a house, a tree, and some clouds. There is absolutely no limit as to what you can create with fractals!

I picture I created using only fractals.
I picture I created using only fractals.

But fractals are not just found in math and art; they can be seen right out of your window, in nature. One of the most famous examples of this is a sea shell, in which the Fibonacci sequence is used.

From http://www.allvoices.com/
From http://www.allvoices.com/