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Hi,
Here's a snapshot of the Mandelbrot set, using one of POV's new patterns for the
interior. It shows the conformal (angle-preserving) nature of complex numbers.
Functions were used to compute it. Unfortunately, POV-Ray crashes at 1024
iterations... I'm not sure why...
The exterior coloring is normalized using code from this informative page:
http://linas.org/art-gallery/escape/escape.html. It would look much smoother
than this, but color_maps and JPEG compression conspire to make it not so.
I'll try to upload some shots from a MSet/Burning Ship hybrid I found, soon.
~Sam
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Attachments:
Download 'mset+.jpg' (365 KB)
Preview of image 'mset+.jpg'
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"Samuel Benge" <stb### [at] hotmail com> wrote:
>
> I'll try to upload some shots from a MSet/Burning Ship hybrid I found, soon.
The Burning Ship fractal (http://en.wikipedia.org/wiki/Burning_Ship_fractal) is
characterized as an MSet whose real and imaginary parts are made absolute before
squaring. As it's own fractal, it's quite chaotic, and you're lucky to ever find
much interesting in it at all.
But as a hybrid, more interesting things tend to happen. In this (fairly common
from what I've found) shot, we see the MSet and its tricorn sitting
side-by-side, connected by Burning Ship's unique plankwork.
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Attachments:
Download 'dual.jpg' (105 KB)
Preview of image 'dual.jpg'
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One way to make an MSet/Burning Ship hybrid is to find the minimum value between
the real and imaginary parts after squaring. Nothing happens initially, but when
you subtract a value from one function, the whole thing starts to cleave.
The cleft causes mirroring (from the absolute values), and this results in all
sorts of weirdness. One such occurrence is displayed in the attached. I think
I've seen this somewhere else...
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Attachments:
Download 'hybrid-o.png' (248 KB)
Preview of image 'hybrid-o.png'
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Another shot from one of the variations...
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Attachments:
Download 'burningwindow.png' (296 KB)
Preview of image 'burningwindow.png'
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This one comes from a place I call Glynn Reef. The formations tend to resemble
Glynn fractals (http://eldar.mathstat.uoguelph.ca/dashlock/ftax/Glynn.html),
though there are other places which bear a stronger resemblance...
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Attachments:
Download 'glynnreefc.jpg' (324 KB)
Preview of image 'glynnreefc.jpg'
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An area made of Glynn fractals.
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Attachments:
Download 'glynnreefd.jpg' (330 KB)
Preview of image 'glynnreefd.jpg'
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Another one before crashing. It was rendered before I tried the normalized
smoothing method. It's an older variation that produced some cool structures, on
occasion. Sort of looks like an alien beetle exodus...
I should probably upload the code someday, since bitrot is a real thing :)
Happy 'Tracing
~Sam
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Attachments:
Download 'variant27_44.jpg' (402 KB)
Preview of image 'variant27_44.jpg'
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>Samuel Benge on date 25/05/2011 07:44 wrote:
> Hi,
>
> Here's a snapshot of the Mandelbrot set, using one of POV's new patterns for the
> interior. It shows the conformal (angle-preserving) nature of complex numbers.
>
> Functions were used to compute it. Unfortunately, POV-Ray crashes at 1024
> iterations... I'm not sure why...
>
> The exterior coloring is normalized using code from this informative page:
> http://linas.org/art-gallery/escape/escape.html. It would look much smoother
> than this, but color_maps and JPEG compression conspire to make it not so.
>
> I'll try to upload some shots from a MSet/Burning Ship hybrid I found, soon.
>
> ~Sam
Incredible Sam... all the images are beautiful, but I prefer the
hybrid-o one, is a kind of "underwater lighted window" effect. Will you
someday release the sources?
;-)
Paolo
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that's insanely psychodelic! :D
"Samuel Benge" <stb### [at] hotmailcom> wrote:
> Hi,
>
> Here's a snapshot of the Mandelbrot set, using one of POV's new patterns for the
> interior. It shows the conformal (angle-preserving) nature of complex numbers.
>
> Functions were used to compute it. Unfortunately, POV-Ray crashes at 1024
> iterations... I'm not sure why...
I have a feeling it's got something to do with an friggin' big number of
iterations... :p
Post a reply to this message
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I find this one particularly amazing and beautiful. The colors and the
atmosphere make me think to some paintings by Folon.
(http://fr.wikipedia.org/wiki/Jean-Michel_Folon)
Thibaut
> Another one before crashing. It was rendered before I tried the normalized
> smoothing method. It's an older variation that produced some cool structures, on
> occasion. Sort of looks like an alien beetle exodus...
>
> I should probably upload the code someday, since bitrot is a real thing :)
>
> Happy 'Tracing
>
> ~Sam
Post a reply to this message
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