## Understanding Fractals |

The hypothesis that fractals can be used to make beautiful shapes and images is proven to be true. The image shown in figure 2 may yet be further expanded to make it look even more beautiful and intricate. Adding colors will make it look even more attractive.

*In nature fractals can be used to define both chaos and harmony. Fractals can be used to explain the geometric shapes of a storm cloud, the silhouette of mountains and of raging hurricanes. Similarly, looking at the fern leaf, broccoli or the strawberry, we can observe the same fractal working in symmetry.*

*Living organisms may be said, in a sense, to befractals made from a basic cell. These cells are also fractals made from amino acids. The amino acids are also fractals made from atoms at the lowest level!*

Try using other basic shapes like a square, circle or triangle of different sizes.

Try to complete your research using a computer to simulate the growth of the fractals. Add colors to make the final result look more attractive.

Fractal - http://en.wikipedia.org/wiki/Fractal

Fractals – an introduction - http://arcytech.org/java//fractals/intro.shtml

What are fractals? - http://www.fractalarts.com/SFDA/whatarefractals.html

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Complexity level:

8

Project cost ($):

20

Time required:

1 hour to prepare, 1 day for research

Material availability:

Easily found

Safety concerns:

Handle the paper cutter with care to avoid injury Adult assistance is required.

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