Activity
Iterating Fractals
Fractals are on the cutting edge of mathematics because deep exploration of their properties was not possible without modern technology. Basically, a fractal is a geometric shape that is self-similar, meaning that the shape can be split into parts that represent the whole, by using iterating equations.
Problem:
This experiment will use computers to examine how the famous Mandelbrot set can be manipulated in fractals.
Materials:
- Computer
- Fractal software (available free online)
- Printer
Procedure:
- Download fractal-producing software on your computer.
- Select Mandelbrot set as the fractal formula.
- Change the number of iterations to 1.
- Print the resulting image.
- Go back to the options and change the number of iterations to 2, and print this image out.
- Repeat step 5, increasing the number of iterations (5, 10, 20, 100, 1000, etc.) and printing out each image.
- Now you can compare the images. What’s the effect of altering the iteration? How does the image change? Does the fractal become bigger or more complex with each iteration?
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Education.com provides the Science Fair Project Ideas for informational purposes only. Education.com does not make any guarantee or representation regarding the Science Fair Project Ideas and is not responsible or liable for any loss or damage, directly or indirectly, caused by your use of such information. By accessing the Science Fair Project Ideas, you waive and renounce any claims against Education.com that arise thereof. In addition, your access to Education.com's website and Science Fair Project Ideas is covered by Education.com's Privacy Policy and site Terms of Use, which include limitations on Education.com's liability.
Warning is hereby given that not all Project Ideas are appropriate for all individuals or in all circumstances. Implementation of any Science Project Idea should be undertaken only in appropriate settings and with appropriate parental or other supervision. Reading and following the safety precautions of all materials used in a project is the sole responsibility of each individual. For further information, consult your state's handbook of Science Safety.
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