3D Mandelbrot !
Penang
Kabuki
"Penang" <kala...@gmail.com> wrote in message
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beautiful
Alan Browne
Cool, indeed. Here are more:
http://www.bugman123.com/Hypercomplex/index.html
I don't believe these satisfy the self-similar aspect of the Mandlebrot
set. For that matter, does such exist in nature?
Sjouke Burry
> Wonder how a 3D Mandelbrot looks like?
No, I know!!
David Makin
wrote:
> Kabuki wrote:
> > "Penang" <kalamb...@gmail.com> wrote in message
They are most definitely self-similar but they do appear to be missing
certain aspects of the classic Mandelbrot such as the antennae.
To easily see the self-similarity they exhibit just zoom into say the
degree 8 or 9 version and you'll immediately find that the brocolli
"buds" extend to all depths in the normal self-similar manner. For
example here's the deepest zoom I've done so far (about as far as you
can go without extending precision beyond "double"):
http://www.fractalforums.com/gallery/?sa=view;id=1043
Roger Bagula
One of the problems with the cubic Julia version of the 2d Mandelbrot
set
is the lack of the rational antenna that characterize the
quadratic 2d Mandelbrot set.
These antenna seem to be based on mode locking to rational Farey tree
angles.
The broccoli shape of this new 3d Mandelbrot is kind of pretty,
but reminds one of a standing wave type of 3d surface
more than a Mandelbrot set.
I don't think the question is through yet/solved.
But I think the efforts are very pretty fractals.
A symmetrical Mandelbrot is obtained in 2d that retains the antenna
feature:
x'=2*x*y-x^2+x0;
y'=2*x*y-y^2+y0
http://www.flickr.com/photos/fractalmusic/4106023768/
This suggests that a symmetrical version something like:
x'=2*t*x - x^2 +x0
y'=2*t*y - y^2 +y0
z'=2*t*z - z^2 +z0
Where t symmetrically cycles through {x,y,z} as:
x'=2*y*x - x^2 +x0
y'=2*z*y - y^2 +y0
z'=2*x*z - z^2 +z0
There is no guarantee that this will
preserve the antenna effect,
but it seems worth a try.
Respectfully, Roger L. Bagula
11759 Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
http://www.google.com/profiles/Roger.Bagula
alternative email: roger....@gmail.com
Dave
or
Now, I know!!
Sjouke Burry
Alan Browne
I'll take your word for it. I would need an app to explore this with
and I don't want to install such. Other fish to fry.
Henk de Jong
Still computing Mandelbrot graphics on an Acorn computer? ;-)
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Sjouke Burry
> On 15-11-2009 2:19, Sjouke Burry wrote:
>> Penang wrote:
>>> Wonder how a 3D Mandelbrot looks like?
>> No, I know!!
>
> Still computing Mandelbrot graphics on an Acorn computer? ;-)
>
>
I did program 2 3d mandelbroot movies on the arc 310
Not for general use, just a binary frame dump and a player
program to view it.
Penang
wrote:
> Kabuki wrote:
> > "Penang" <kalamb...@gmail.com> wrote in message
The other day I watch an old episode of Discovery, where they talk
about the Sun (Sun spots and all that).
The more I look at the waves and bursts from the Sun, the more they
look like the 3D Mandelbrots.
Mohamed Al-Dabbagh
> Wonder how a 3D Mandelbrot looks like?
>
> http://www.skytopia.com/project/fractal/mandelbulb.html
Thank you for that post. For the first time I see the rendering of
fractal images. It's just amazing.
Mohamed Al-Dabbagh
Penang
http://fc08.deviantart.net/fs70/i/2010/008/2/3/Mandelbulb_Spine_by_dspwhite.jpg
http://fc07.deviantart.net/fs51/i/2009/321/0/c/Honeycomb_Heaven_by_dspwhite.jpg
http://fc02.deviantart.net/fs50/i/2009/321/9/9/Mandelbulb_Garden_by_dspwhite.jpg
http://fc01.deviantart.net/fs70/i/2010/007/8/a/The_Mandelbulb_by_dspwhite.jpg
http://fc09.deviantart.net/fs71/f/2010/001/6/b/Mandelbulb_Xmas_Treehouse_by_dspwhite.jpg
http://fc07.deviantart.net/fs70/i/2010/008/3/f/Hell_Just_Froze_Over_by_dspwhite.jpg
http://dspwhite.deviantart.com/art/The-Eternal-Dream-149572608
http://www.skytopia.com/project/fractal/new/full/Power8side-q20b.jpg
Mohamed Al-Dabbagh
> Just found couple of stunning pics of the 3D Mandelbulbs
>
Wow.. They are really breathtaking. It would be even more amazing to
incorporate these patterns in an animation with a fly-through camera.
It would give impressions of a microscopic treck inside the guts! Yuk!
But that would be wonderfull. I liked the christmas tree very much
with these added lights to it. Soooooo creative. I would call the
garden you show as the MandelBrochli. LOL.
Thank you Penang.
Mohamed Al-Dabbagh
Senior Graphic Designer
Ejay
"Mohamed Al-Dabbagh" <mohamed_a...@hotmail.com> wrote in message
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That laink came up as 404 site not found with a link redirecting you.
It was blocked by Norton as unsafe with three computer
threats
Ejay
Alan Browne
> On Jan 17, 5:55 am, Penang<kalamb...@gmail.com> wrote:
>> Just found couple of stunning pics of the 3D Mandelbulbs
>>
>> http://fc08.deviantart.net/fs70/i/2010/008/2/3/Mandelbulb_Spine_by_ds...http://fc07.deviantart.net/fs51/i/2009/321/0/c/Honeycomb_Heaven_by_ds...http://fc02.deviantart.net/fs50/i/2009/321/9/9/Mandelbulb_Garden_by_d...http://fc01.deviantart.net/fs70/i/2010/007/8/a/The_Mandelbulb_by_dspw...http://fc09.deviantart.net/fs71/f/2010/001/6/b/Mandelbulb_Xmas_Treeho...http://fc07.deviantart.net/fs70/i/2010/008/3/f/Hell_Just_Froze_Over_b...http://dspwhite.deviantart.com/art/The-Eternal-Dream-149572608http://www.skytopia.com/project/fractal/new/full/Power8side-q20b.jpg
The link itself is almost a mandlebrot. Took me 18 tries to type it all in.
Humour impaired: pls don't reply.
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