Exploring Fractals
Hard
Fractals are a repetition of a simple geometric shape, at larger or smaller sizes, to create a pattern or shape based on certain rules. With the help of a computer, complex, colorful and beautiful images can be created using simple mathematical formulae.
Hypothesis
The hypothesis is that fractals can be used to make beautiful shapes and images.
Method & Materials
You will make a hexagon template, draw and cut out hexagons of different sizes, draw a hexagon in the center of the paper, draw hexagons on the corners of the hexagon, and add on the remaining sizes of hexagons.
You will need a large sheet of graph paper, a ruler, a paper cutter, a thick (1mm) cardboard A4 size, and a mechanical pencil.
Results
The results show that beautiful designs and creations that were previously unseen and unimaginable, can be created using fractals. The design in the experiment is one such example of fractals using the simple hexagon shape in only 6 stages.
Why do this project?
This science project is interesting and unique because it shows how complex and beautiful images can be created using simple mathematical formulae.
Also Consider
Experiment variations to consider include using other basic shapes like a square, circle or triangle of different sizes, and completing the research using a computer to simulate the growth of the fractals.
Full project details
You can find additional information and details for this science fair project here. Have fun exploring!Related video
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