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/sci/ - Science & Math

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4528021 No.4528021 [Reply] [Original]

Why are points not in the Mandelbrot set said to escape when Mandelbrot hairs stretch to infinity and fill the plane with their bounded points?

>> No.4528064
File: 547 KB, 1920x1080, Fractal11.png [View same] [iqdb] [saucenao] [google]
4528064

bumping

>> No.4528122
File: 1.06 MB, 1920x1080, Fractal15.png [View same] [iqdb] [saucenao] [google]
4528122

>> No.4528431

the black stuff is our universe, the colorful geometry is outside our universe.

i hope that clears things up.

>> No.4528846

>>4528431
Fuuck. But if the entire plane is filled with minibrots, that must make "inside" and "outside" the same thing, right?

>> No.4528849

I can't help but wonder how long the program took to produce the data for those images.

>> No.4528931

>>4528849
The one in the OP took about an hour last night. It's one of 16 tiles, still got a bunch to go.

>> No.4528934

>fill the pane

not sure that means what you think it means

>> No.4528970 [DELETED] 

>>4528934
Well what happens to a point that's not in the set as n approaches infinity? Doesn't the use of a bail-out imply you don't know what happens to Z for sure?

>> No.4529020 [DELETED] 
File: 432 KB, 1920x1440, 1329058669951.jpg [View same] [iqdb] [saucenao] [google]
4529020

>> No.4529025

How are you doing this OP? I'd like to leave my computer doing it overnight and see what happens

>> No.4529036
File: 432 KB, 1920x1440, 1329058669951.jpg [View same] [iqdb] [saucenao] [google]
4529036

>>4528934
Well what happens to a point that appears to escape as n approaches infinity? Doesn't the use of a bail-out imply you don't know what happens to Z for sure?

>>4529025
I use Ultra Fractal 4. It isn't freeware but I highly suggest you torrent it.

>> No.4529043

>>4529036
Torrenting with the speed of light, thank you

>> No.4529050

>>4529043
>not making 3D fractals with mandelbulb 3d freeware

http://youtu.be/bO9ugnn8DbE?hd=1

>> No.4529052

>>4529036
all of the mandelbrot set lies within a radius 2 circle, centre the origin

>> No.4529090
File: 915 KB, 1920x1080, Fractal42.png [View same] [iqdb] [saucenao] [google]
4529090

>>4529052
I see. So it's safe to say all the points in the map are in the set?

>> No.4529099
File: 157 KB, 1000x1247, Verhulst-Mandelbrot-Bifurcation.jpg [View same] [iqdb] [saucenao] [google]
4529099

>>4529090
what map?

in mandelbrot pictures members of the set are usually coloured black.

other colours are used to show how long it takes the point to diverge. say mid blue takes 10 iterations to be outside the radius 2 circle, darker blue takes 11, etc

>> No.4529103

What's the formula OP?

>> No.4529132

>>4529050
Well.. that shit is slow as all hells

>> No.4529142
File: 35 KB, 480x640, 1277382245334.jpg [View same] [iqdb] [saucenao] [google]
4529142

>>4529050

>> No.4529161

>>4529050
>render a bit
>zoom in
>have to render more
>zoom in
>render
is it possible to do some all in one render fucking as much as you can until I press stop?

>> No.4529198

>>4529036
Mind uploading to mediafire? Can't find a non dead torrent

>> No.4529204

>>4529161
If you get to 3d-nav mode you can interactively fly around, It works really well if you have 4 or 8 cores.

>> No.4529209

>>4529204
The 3d navigator arrows? Not really working like that for me

>> No.4529259
File: 1.81 MB, 2048x1536, rendar-2k.jpg [View same] [iqdb] [saucenao] [google]
4529259

>>4529209
theres a colorful button on Mandelbulb3d 1.7.9 in the upper left corner under the filmstrip button. it says 3d navi.

then click on the picture and you can mouse-look until you click again.

>> No.4529266

>>4529259
Oh I'm on some old version (0.8), will download new

>> No.4529270

>>4529266
and thanks

>> No.4529308

>>4528021
Because the SEQUENCE (<span class="math">z_{n+1}=z_n + c[/spoiler]) of a point <span class="math">z=z_0[/spoiler] belonging to the Mandelbrot set doesn't escape. The point <span class="math">z[/spoiler] itself can be as far away from the origin as you want; what matters is that the sequence defined above is bounded.

>> No.4529337

>>4529308
anything |z|>2 will not be bounded under the normal mandelbrot function

>> No.4529649
File: 131 KB, 800x480, Fra.png [View same] [iqdb] [saucenao] [google]
4529649

Are filaments finite in length or what?

>> No.4529681
File: 241 KB, 800x480, Fra.png [View same] [iqdb] [saucenao] [google]
4529681

>> No.4529755
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4529755

http://klippan.seths.se/fractals/articles/24.pdf

>> No.4530653

I fucking love fractals.

BUMP

>> No.4530674 [DELETED] 

>>4530653
Thanks for the bump.

Can someone please explain the purpose of a bail-out value?

>> No.4530726 [DELETED] 
File: 1.06 MB, 1920x1080, Fractal3.png [View same] [iqdb] [saucenao] [google]
4530726

Can someone please explain the purpose of a bail-out value?

>> No.4530914
File: 278 KB, 1920x1200, Fractal.jpg [View same] [iqdb] [saucenao] [google]
4530914

Can someone please explain the purpose of a bail-out value?

>> No.4531075 [DELETED] 
File: 901 KB, 1920x1200, cosm.jpg [View same] [iqdb] [saucenao] [google]
4531075

Someone please buy me a hexacore processor.

>> No.4531079
File: 901 KB, 1920x1200, 1333341965748.jpg [View same] [iqdb] [saucenao] [google]
4531079

I need a hexacore.