Web Links [Tag : fractal]
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This same kind of symmetry, called self-similarity, is shared by a wide array of networked systems, from the hyperlinked pages of the World Wide Web to the biochemical reactions underlying cellular metabolism.
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Our next project will take things one step farther - to a point where it would be quite difficult to figure out a non-recursive solution. We will construct an image of a broccoli plant. Broccoli is a good choice because it is so regular.
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This is a page in The Physics Factbook" an encyclopedia of scientific essays written by high school students that can be used by anybody.
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Broccoli by Mark WHEN I WAS A CHILD, I USED TO HATE TO HAVE TO EAT MY BROCCOLI. MY MOM WOULD TELL ME THAT I DONT HAVE TO EAT IT ALL BUT JUST TAKE ONE BITE. IN MATHEMATICS, FRACTALS SPECIFICALLY, WE SEE THAT A LITTLE BROCCOLI GOES A LONG WAY. THIS DEMONSTRATION SHOWS THE IDEA OF SELF-SIMILARITY.
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Divide each side into thirds, delete the middle third, and construct a point off that length from the deleted side that forms a smaller equilateral triangle.
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One of the properties of fractals is that they contain no information that gives you a sense of scale: little pieces of a fractal look like the whole thing, and in particular, if someone shows you a zoom in to a fractal, you can't tell if they've zoomed in by a factor of 10 or 10 million!
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This cauliflower is a fractal. This web site was created and is maintained by Rosetta Geller Copyright©2001. Last updated on September 1, 2004.
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Name: Date: Cauliflower Fractal Directions for Drawing by Hand 1. Hold your paper horizontally. 2. Draw a long horizontal line at the bottom of the paper. Label the endpoints A and B. 3. Find the midpoint of the line; call it C. 4. Find the midpoint from the endpoint A to the midpoint C.
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