What is a fractal? Let's find out!
The image is Goddess Of Fire. She is one of my own, which I created in Ultra Fractal (definition below is courtesy of The Free Dictionary)
A Fractal Is: A complex geometric pattern exhibiting self-similarity in that small details of its structure viewed at any scale repeat elements of the overall pattern. Fractals are often associated with recursive operations on shapes or sets of numbers, in which the result of the operation is used as the input to the same operation, repeating the process indefinitely. The operations themselves are usually very simple, but the resulting shapes or sets are often dramatic and complex, with interesting properties. For example, a fractal set called a Cantor dust can be constructed beginning with a line segment by removing its middle third and repeating the process on the remaining line segments. If this process is repeated indefinitely, only a "dust" of points remains. This set of points has zero length, even though there is an infinite number of points in the set. The Sierpinski triangle (or Sierpinski gasket) is another example of such a recursive construction procedure involving triangles (see the illustration). Both of these sets have subparts that are exactly the same shape as the entire set, a property known as self-similarity. Under certain definitions of dimension, fractals are considered to have non-integer dimension: for example, the dimension of the Sierpinski triangle is generally taken to be around 1.585, higher than a one-dimensional line, but lower than a two-dimensional surface. Perhaps the most famous fractal is the Mandelbrot set, which is the set of complex numbers C for which a certain very simple function, Z2 C, iterated on its own output (starting with zero), eventually converges on one or more constant values. Fractals arise in connection with nonlinear and chaotic systems, and are widely used in computer modeling of regular and irregular patterns and structures in nature, such as the growth of plants and the statistical patterns of seasonal weather.
Fractals on CafePress
Anne's Fractal Menagerie Wall Calendar
Originally created for 2009, this calendar featuring 12 fractals is now available for 2010.
Be sure to drop by
Reader Feedback
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- AnnaleeBlysse AnnaleeBlysse Dec 19, 2008 @ 1:00 am
- Some great artwork here! Nice galleries to highlight.
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- kru kru Dec 8, 2008 @ 7:28 pm | in reply to ruxique
- You are very welcome :)
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- ruxique ruxique Dec 8, 2008 @ 5:06 pm
- That's great! Thanks so much for adding mine! :)
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- kru kru Dec 6, 2008 @ 7:16 am | in reply to Webgrrl
- You are welcome :) :)
And, just so ya know, your lenses are marvelous so you are forgiven for working on them! hehehe
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- Webgrrl Webgrrl Dec 6, 2008 @ 2:55 am
- WOW~great job grrl! and Thank You *coy smile*
i been doin my squidoo pages instead of doing the stuff in SUPPOSE to be doing..hehehe
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