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Inferno #04
22 июня 2003 |
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Mathematics - Mandelbrot fractal.
Mandelbrot fractal.
(C) Alone Coder
Here are some friends I got the question, what is a fractal,
and why you need it. The second question to answer, I can not,
but the first answer right here and as fully as possible!
Although these familiar anyway Spectrum magazine do not read!
1.
Fractal is the figure or pattern
preserving (-ies) a complicated structure when scaled to any
number of times. These fractals can be successfully used in
demomeykinge.
Here's a picture:
This is a general view of the Mandelbrot fractal with
minimal increase. Mandelbrot fractal is a two-dimensional
pattern, defined on the complex number plane.
Properties, which manifest themselves in this fractal
scaling can be understood by the following picture:
(The picture shows a fragment of a fractal around the point
(.35703211; .57944996) With an increase of 1 billion times.)
Now you understand? Continue.
Mandelbrot fractal (or "Mandelbrot") generate a single
point. Each point represents the following calculation.
Let the coordinates of points equal to (cx; cy).
We assume their components of a complex number C = cx + i *
cy, where i = √ (-1).
Initialize a complex number Z = C.
We assume Z = Z ¤ + C, while | Z |
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