by Len Bruton
Here is a fractal sunflower.
Notice that it is surrounded with a myriad of objects that look as if they
might be other sunflowers. In fact, the very small specks that represent
about one pixel in size in this image are also sunflowers! This is the
marvelous characteristic of this type of fractal. We can zoom in without
limit and continue to find sunflowers:
Let's zoom in on a small area in the upper right corner
of the above image where one finds small
sunflowers having diameters about 1/32 of the width of the large central flower:
Notice a couple of new sunflowers, each of which has incredible
(and, in fact, infinite) detail.
Now let's zoom in on the centre of the large sunflower in the first image:
Notice that the seeds in the centre are quite realistic and, of course,
can also be explored in infinite detail.
Sunflowers exist within the seeds, just as they do in real life!
Fractal mathematics is clearly capable of
producing remarkably similar images to those found in nature.
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