Project cost ($):
1 hour to prepare, 1 day for research
Handle the paper cutter with care to avoid injury Adult assistance is required.
Table of Contents
The purpose of this project is to provide us with a clear understanding of what are fractals, and how to construct an image using fractals.
Fractals can be used to make beautiful shapes and images.
Fractal, geometric, infinite
The materials required for our research:
1. A hexagon template is made using a small sheet of cardboard. Draw and cut out 6 hexagons of different sizes using the paper cutter. The suggested length of the hexagon sides are 160mm, 80mm, 40mm, 20mm, 10mm and 5mm.
4. Proceed to draw 40mm hexagons around the six corners of the 6 hexagons that were drawn in the second stage. There will be 36 hexagons drawn this time. The third stage of the fractal image is now completed.
The results show that beautiful designs and creations that were previously unseen and unimaginable, can be created using fractals. The design in Figure 2 below is one such example of fractals using the simple hexagon shape in only 6 stages.
Figure 2 – Example 6th stage fractal design using the hexagon shape
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.
Try using other basic shapes like a square, circle or triangle of different sizes.
Fractal - http://en.wikipedia.org/wiki/Fractal