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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > 2d/3d conformal formulas for a tetrahedral projection Mandelbrot
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Author Topic: 2d/3d conformal formulas for a tetrahedral projection Mandelbrot  (Read 15225 times)
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0Encrypted0
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« Reply #75 on: March 01, 2015, 12:24:45 PM »
The question was Which Julia set? Do you (hgjf2) have a link directly to it (the image)?
Aexion currently has over 300 images posted on deviantart.

Also: a point of clarification:
AFAIK http://www.rfractals.net is not restricted.
« Last Edit: March 02, 2015, 05:41:36 AM by 0Encrypted0, Reason: spelling » Logged
KRAFTWERK
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« Reply #76 on: July 10, 2015, 10:13:34 AM »
Quote from: KRAFTWERK on February 22, 2015, 02:28:22 PM
Been a busy weekend...  afro
Already printable model, check out the 3D-view on Shapeways: https://www.shapeways.com/product/DK77VP9TM/?key=8c5e126b1f7b45b76a85b8dbaa949f81

<Quoted Image Removed>



I just sold one print of this on Shapeways  afro - 3€ profit goes to the forum as promised... but I can't find the paypalbutton Christian...
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cKleinhuis
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« Reply #77 on: July 16, 2015, 02:45:04 PM »
it pops up randomly below the banners wink but it seems to be gone, paypal account would be:
donate@fractalforums.com
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kram1032
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« Reply #78 on: July 16, 2015, 07:05:27 PM »
hmm, that cavernous design isn't bad at all. Though how would that same shape look like if spherically inverted? All that spiral structure would end up on the outside (though it might be distorted in unsatisfactory ways)
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KRAFTWERK
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« Reply #79 on: July 17, 2015, 08:27:53 AM »
Quote from: kram1032 on July 16, 2015, 07:05:27 PM
hmm, that cavernous design isn't bad at all. Though how would that same shape look like if spherically inverted? All that spiral structure would end up on the outside (though it might be distorted in unsatisfactory ways)

I actually think I tried to do that, but I will check it out again.
(and the parameters are included in Lucas last update of M3D, it is among the example parameters... very slow to render already without inversion wink )

Quote from: cKleinhuis on July 16, 2015, 02:45:04 PM
it pops up randomly below the banners wink but it seems to be gone, paypal account would be:
donate@fractalforums.com

All right, my small contribution will come during the day Christian!  wink

Done!  angel
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pupukuusikko
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« Reply #80 on: September 04, 2015, 11:36:33 PM »
Quote from: kram1032 on July 16, 2015, 07:05:27 PM
hmm, that cavernous design isn't bad at all. Though how would that same shape look like if spherically inverted? All that spiral structure would end up on the outside (though it might be distorted in unsatisfactory ways)

I've been trying to achieve this for a while now and finally succeeded.  grin

For those who'd like to experiment in Mandelbulb3D,  the recipe I used is:
_SphereInvC + TGladTetra (with 'Repeat from here' on tetra), julia parameters around x=-2.5, y=0, z=0.9 .

 

Btw, I have been obsessively exploring this great fractal for a while now.
Check the gallery http://pupukuusikko.deviantart.com if you are interested, there are many spirals to be found. smiley
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kram1032
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« Reply #81 on: September 04, 2015, 11:49:17 PM »
Looks neat! Very interesting details smiley
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Tglad
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« Reply #82 on: September 08, 2015, 01:24:08 AM »
That's really cool,
I like your gallery too, especially your Giger one http://pupukuusikko.deviantart.com/art/Gigeresque-554631327  A Beer Cup
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pupukuusikko
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« Reply #83 on: September 09, 2015, 10:04:11 AM »
Quote from: Tglad on September 08, 2015, 01:24:08 AM
That's really cool,
I like your gallery too, especially your Giger one http://pupukuusikko.deviantart.com/art/Gigeresque-554631327  A Beer Cup

Thanks, but I'm afraid I have to take my previous claim back a bit. While the spirals in my image seemed very similar to the
inside spirals of Kraftwerk, they actually were not from the actual inside, just hidden in the folds of the fractal.

When applying sphere inversion to the inside spirals, they do move to the outer surface, but they still stay technically on the negative side,
with the drawbacks of difficult navigation and slow and noisy inside rendering.

Example: http://www.deviantart.com/art/The-Overseer-559235190
« Last Edit: September 10, 2015, 07:05:57 AM by pupukuusikko, Reason: added missing \'but\' » Logged
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Tglad
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« Reply #84 on: September 10, 2015, 05:06:49 AM »
So in your picture 4 posts up, how did you get such detail if it is a negative space spiral? Or did it just take a long long time? smiley

I get the feeling this is closing in on the answer to what the 3D version of a fractal spiral would look like. We've seen various 3D spirals before, but I like the way these edges curl up a bit like a fern.
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pupukuusikko
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« Reply #85 on: September 10, 2015, 08:42:50 AM »
Quote from: Tglad on September 10, 2015, 05:06:49 AM
So in your picture 4 posts up, how did you get such detail if it is a negative space spiral? Or did it just take a long long time? smiley

Sorry for confusion. That picture was generated in positive space and originated from vanilla positive spirals of your fractal.
The vanilla spirals can be seen in http://pupukuusikko.deviantart.com/art/False-Inside-Spirals-559384484,
julia parameters (0.18, -0.25, 0.09).

So sphere inversion in that case was redundant, except for aesthetic purposes. The confusion arose, because I thought
mandelbulb3d sphere inversion would swap negative and positive space, whereas it just switches inside to outside, in a colloquial sense.


Quote from: Tglad on September 10, 2015, 05:06:49 AM
I get the feeling this is closing in on the answer to what the 3D version of a fractal spiral would look like. We've seen various 3D spirals before, but I like the way these edges curl up a bit like a fern.

Indeed these spirals seem fern like, varying the julia parameters, you can make them grow from bud to more open spiral quite organically.
Unfortunately, no leaves appear wink .
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