| Ultra Fractal Guide |
In honor of its discoverer (The mathematician Benoit Mandelbrot) the black form is called a "Mandelbrot" or Mandelbrot Lake, since it could be surrounded by complex patterns around it, and its flat unicolor surface resembles a lake. One of the main fractal properties is its "self similarity". This means, that any given structure in the mandelbrot fractal will reproduce itself again and again with only the most minute changes, thus closely .resembling the parent form. This property is valid to the whole "Mandelbrot Lake" form, which is reproduced infinite times in the fractal set. In order to see these reproduced similar forms we have to "Zoom in" into the Mandelbrot fractal. Of course, any similar form that we find, will be much smaller then the original "default" mandelbrot. This is why we call these secondary Mandelbrot forms: Minibrots (= MINI mandlBROTS). Now, where can we find the minibrots? Actually they are scattered all over the fractal, but it is much easier to spot them in certain places.
In picture 2 you can see 2 favorite spots to locate minibrots. Arrow 1 is on the anterior-posterior axis, to the left. Here the minibrots are visible even in the default picture. Picture 3 is a zoom-in at the arrow 1 location and here you can see the isolated minibrot, which closely resembles the parent mandelbrot.
In picture 4 you can see, that the location pointed by arrow 2 is filled up with minibrots. I have isolated one of them (all of them at this level are practically identical) and applied to it an outer coloring formula. The result is beautiful. Minibrots have wonderful surroundings, as you may well see at pictures 6 and 7.
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