Fractals on Friday
As I might have written earlier, many of the fractal images can be found in strange and hard to find places. Today I'd like to take you on a guided tour, down into the depths of one particular fractal.
(Click on the images for an enlargement).

This is the base image, using a fairly complex polynomial with a magnification of 1x. One thing I notice now, which eluded me when I made it originally, is that it's not quite as symmetical as the original equation had implied. I wonder if that's a bug in the programme or an unexpected condition of the mathematics itself?

A detail was taken from the base image, the magnification is now 22x. At this point the major themes of the fractal are becoming apparent, although there are wide and wild variations in form and colour to be found across the base image. There's also a little tweaking of input and output parameters here.

The magnification here is now 6,300x. There's an abrupt transition between colour schemes occuring here, this time a little less pleasing then I'd like but offering an interesting contrast nevertheless. Some modifications have been applied again at the settings level to amplify the changes made.

Going in deeper, and more selectively. At 200,000x magnification some order and quietness is starting to return in the mayhem. It's also fascinating to note how the same themes are replicated on all stages in the fractal and even in the same image at macro and micro levels.

This was the end point of this part of the excursion, with a magnification of almost 1,000,000,000x. Often it's only at this stage that I feel that there is a consistency and an elegance with which I can feel happy with. I have no idea why in general and often the conditions vary, with this image at least I enjoy the quiet colour gradient and the quiet, steady motions down into the further depths of the image.

This detail was taken from a completely different area of the base image. I also applied a different output type this time, the magnification was set to 100x.

Going on in to this new image, now zoomed in to a little more than 1,000x, a completely new world is arising to be explored. Although there are still some remnants of the sequences seen in the first five images, there are new progressions and forms developing here which have exiting possibilities.

I ended my journey at a little more than 2,000,000x, having hardly looked at all the possibilities open to me here. The programme I use allows me to save my operating parameters thankfully, so I can continue at a later moment when I'm feeling a little more inspired or intuitive.
I hope you've enjoyed this little sidetrack through my fractal forest, it's been an eye-opener for me too because now I've needed to do some thinking about what I was doing instead of just doing it intuitively. Thanks for reading and keep well...
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(Click on the images for an enlargement).

This is the base image, using a fairly complex polynomial with a magnification of 1x. One thing I notice now, which eluded me when I made it originally, is that it's not quite as symmetical as the original equation had implied. I wonder if that's a bug in the programme or an unexpected condition of the mathematics itself?

A detail was taken from the base image, the magnification is now 22x. At this point the major themes of the fractal are becoming apparent, although there are wide and wild variations in form and colour to be found across the base image. There's also a little tweaking of input and output parameters here.

The magnification here is now 6,300x. There's an abrupt transition between colour schemes occuring here, this time a little less pleasing then I'd like but offering an interesting contrast nevertheless. Some modifications have been applied again at the settings level to amplify the changes made.

Going in deeper, and more selectively. At 200,000x magnification some order and quietness is starting to return in the mayhem. It's also fascinating to note how the same themes are replicated on all stages in the fractal and even in the same image at macro and micro levels.

This was the end point of this part of the excursion, with a magnification of almost 1,000,000,000x. Often it's only at this stage that I feel that there is a consistency and an elegance with which I can feel happy with. I have no idea why in general and often the conditions vary, with this image at least I enjoy the quiet colour gradient and the quiet, steady motions down into the further depths of the image.

This detail was taken from a completely different area of the base image. I also applied a different output type this time, the magnification was set to 100x.

Going on in to this new image, now zoomed in to a little more than 1,000x, a completely new world is arising to be explored. Although there are still some remnants of the sequences seen in the first five images, there are new progressions and forms developing here which have exiting possibilities.

I ended my journey at a little more than 2,000,000x, having hardly looked at all the possibilities open to me here. The programme I use allows me to save my operating parameters thankfully, so I can continue at a later moment when I'm feeling a little more inspired or intuitive.
I hope you've enjoyed this little sidetrack through my fractal forest, it's been an eye-opener for me too because now I've needed to do some thinking about what I was doing instead of just doing it intuitively. Thanks for reading and keep well...
---------------
Labels: fractal art





2 Comments:
Wow! So much more to it than meets the eye initially. Very interesting.
Thank you for the interesting journey!
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