Controlling & Comparing The Blue Wash Fractal

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Controlled Blue Wash Fractal
Screen Shot 2012-04-19 at 10.56.55 AM.png
Fields: Algebra, Geometry, and Fractals
Image Created By: [[Author:| ]]

Controlled Blue Wash Fractal

Different steps taken to control the Blue Wash Fractal on GSP. My goal was to iterate the rectangle so that it divides in half horizontally the first time and in half vertically the second time and so on.


Basic Description

The Blue Wash Fractal is a random fractal composed of one large rectangle randomly broken down into sub-rectangles and shaded or colored in using either variations of the Basic Method or Inclined Method (as shown on Blue Wash Fractal Page.However, this variation of the Blue Wash Fractal is controlled using GSP. Basically, the rectangle is sub divided in half, or sub-rectangles,vertically and horizontally.The sub divisions alternate from dividing vertically in half to dividing horizontally in half. The resulting image creates a fractal of similar rectangles.




How the Main Image Relates

The Main Image of the controlled Blue Wash Fractal is similar in appearance to the Golden Rectangle. However there are a few key differences between the two Rectangles. For example the Golden Rectangle is based off of the Fibonacci numbers: 1, 1, 2, 3, 5, 8. The foundation of the Golden Rectangle is also the two squares in the center with a perimeter of 1 which provide a basis for the fibonacci numbers when creating the Golden Rectangle(Explained thoroughly in link below). However, the Controlled Blue Wash Fractal is composed of rectangles that iterate forever into smaller rectangles within the original perimeter of the square.

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Related Links

Additional Resources

http://mathforum.org/mathimages/index.php/Fibonacci_Numbers http://mathforum.org/mathimages/index.php/Blue_Wash






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