Fractals

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by rimkussl
Last updated 6 years ago

Discipline:
Math
Subject:
Geometry
Grade:
9,10,11,12

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Fractals

The Mandelbrot SetBecause an infinite number of points exist between any two points on the number plane, the Mandelbrot set's detail is infinite. This image is a tiny part of the image to the left magnified many thousands of times over.The "self-similar" nature of fractals means that particular elements, such as the Mandelbrot set, reappear over and over again, no matter how "deep" one goes into the image through magnification.

So what is a fractal exactly? It's an irregular shape that looks the same at any scale on which it is examined. So no matter how far away or zoomed in you are to the picture, it looks the same.

Fun With Fractals

The Sierpinski Triangle is one of the most famous fractals. Engineers have been designing ways to use fractals like this one to solve real world problems in Fluid Dynamics. To learn how to construct the Sierpinski Triangle, click on the picture above.

They're everywhere, those bright, weird, beautiful shapes called fractals. But what are they, really?Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties.There's lots of information on the Web about fractals, but most of it is either just pretty pictures or very high-level mathematics. So this fractals site is to help you understand what the weird pictures are all about - that it's math - and that it's fun!

Math with Fractals is fun!

Most objects in nature aren't formed of squares or triangles, but of more complicated geometric figures. Many natural objects - ferns, coastlines, etc. - are shaped like fractals. Click on the picture to see more examples of fractals in nature!

Click on the picture to hear a song about the Mandelbrot Set!

The Koch Snowflake Fractal


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