This is something special, but not just because of its beauty. This image shows the evolution of mandelbrot tree structures. On the far right (almost not visible in the image) the tree has only few branches. The trees next to it have more and more branches, although they all appear twice. The tree in the center has an s-shape. In this image you can see exactly the intermediate steps before reaching the s-shape. This is the evolution of the S with tree-structure in one single image!
Another interesting aspect of this image it that the overall shape seems to approach the shape of a very well-known julia set:
math.youngzones.org/Fractal%20…
Conjecture: when the method to create this structure is iterated infinitely, the overall shape approaches the shape of a julia set.
To find this shape in high-density locations it's almost impossible to work with fractal extreme because of the depth and iteration count. Therefore I have started to use kalles fraktaler. For exploring at great depths, kalles fraktaler is better at the moment, especially since it now renders from center -> outwards.
Why is this a prototype?
Usually it happens that the images that I post here are not original discoveries. I optimize and tweak my method to find a particular shape, then apply the method to a few different, more interesting locations to see how it turns out there and then decide where to make the final render. As you may be able to tell, this one is in the needle, which is the most efficient location to explore, but not always the most beautiful location to make final renders of structures. I'm too exited about this shape not to publish it already, so I made a gradient and rendered it. I want to make another render of this shape in a different part of the mandelbrot set, accompanied with nice structures.
Coming soon: the same shape in a different part of the mandelbrot set. Now possible to make in a reasonable time thanks to mr. Flay!
Another interesting aspect of this image it that the overall shape seems to approach the shape of a very well-known julia set:
math.youngzones.org/Fractal%20…
Conjecture: when the method to create this structure is iterated infinitely, the overall shape approaches the shape of a julia set.
To find this shape in high-density locations it's almost impossible to work with fractal extreme because of the depth and iteration count. Therefore I have started to use kalles fraktaler. For exploring at great depths, kalles fraktaler is better at the moment, especially since it now renders from center -> outwards.
Why is this a prototype?
Usually it happens that the images that I post here are not original discoveries. I optimize and tweak my method to find a particular shape, then apply the method to a few different, more interesting locations to see how it turns out there and then decide where to make the final render. As you may be able to tell, this one is in the needle, which is the most efficient location to explore, but not always the most beautiful location to make final renders of structures. I'm too exited about this shape not to publish it already, so I made a gradient and rendered it. I want to make another render of this shape in a different part of the mandelbrot set, accompanied with nice structures.
Coming soon: the same shape in a different part of the mandelbrot set. Now possible to make in a reasonable time thanks to mr. Flay!
It's stunning.
Thanks
This Julia very simple, isn't it? But it have unlimited complexity and awesome figures! You found and render one of them. Very nice work, Dinkydau! Re$pect)))
P.s. What coords? (It's interesting for me
)
I will give coordinates when I'm done with the "coming soon" render of this shape at a different location.
Evolution of trees is too hard (1000000 iterations and more). Can you give me coordinates of this image?
OK. Say to me plz, it very deep? e100, e200, e700, e1000???
I guess this non-hard technique. It's very complexity and interesting! Thank you for this idea (But we used it before), It makes more discovers!!!
P.s. WTF is 'Iterative patterns'???
P.p.s. Interesting, can we find new minibrot with same Julia sets? No, sure...
Thanks
This is not a regular julia set that "contains" shapes, instead, it just so happens that it looks like a julia set while it's really a set of shapes. Zooming in reveals that the julia set is not perfect.
The method that I used to find this location involves iterations (iterations of tree). The conjecture is that if infinitely many iterations (of tree) are applied (which would be at infinite depth), the shape would indeed approach a perfect julia set. At any finite depth, it is only an approximation.
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