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Author Topic: Inner view of the Mandelbox  (Read 30012 times)
Description: The Mandelbox (by Tglad) - Inner View
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trafassel
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trafassel
« Reply #150 on: October 29, 2010, 12:27:16 AM »

Detractors as 3D Slide in a 4D Mandelbox.


* Data494pic10020a.jpg (237.97 KB, 1280x720 - viewed 324 times.)

* Data494pic10025a.jpg (213.84 KB, 1280x720 - viewed 304 times.)
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trafassel
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trafassel
« Reply #151 on: October 29, 2010, 11:36:51 PM »

The "nowhere dense idea" is discussed in http://www.fractalforums.com/3d-fractal-generation/the-mandelbox-is-tenuous/

By searching for the Quasi-Fuchsian fractal i found this, which remainds me of the seahorses in #r43.

<a href="http://www.youtube.com/v/yY1-D13KICw&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/yY1-D13KICw&rel=1&fs=1&hd=1</a>

Perhaps the most interesting objects inside the Mandelbox are made of fake Indra's Pearls.




* Data286pic10266a.jpg (244.09 KB, 1280x720 - viewed 341 times.)
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trafassel
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trafassel
« Reply #152 on: October 30, 2010, 10:54:24 AM »

Pearls.


* Data302pic10022small.jpg (252.11 KB, 1280x720 - viewed 472 times.)
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trafassel
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trafassel
« Reply #153 on: November 01, 2010, 12:16:13 AM »

The black part as 2D slide is interesting.


* Data295pic10189a.jpg (252.95 KB, 1200x720 - viewed 332 times.)
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trafassel
Fractal Bachius
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trafassel
« Reply #154 on: November 01, 2010, 09:50:56 PM »

Ben Racken: Die Augen

<a href="http://www.youtube.com/v/jytvQv1bTn0&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/jytvQv1bTn0&rel=1&fs=1&hd=1</a>
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trafassel
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trafassel
« Reply #155 on: November 05, 2010, 12:02:24 AM »

Top of the tower in the last video.


* Data325pic10023a.jpg (150.02 KB, 1280x720 - viewed 328 times.)
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trafassel
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trafassel
« Reply #156 on: November 05, 2010, 07:30:51 AM »

Zoom in #r153


* Data324pic10037small.jpg (254.12 KB, 1280x720 - viewed 301 times.)
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Tglad
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« Reply #157 on: November 08, 2010, 03:36:32 AM »

More awesome pics Trafassel. Have you tried an inner view of the scale -1 minr 0 mandelbox?
I originally thought it would be just a solid cube, but it isn't. There is structure on the corners and edges, but I'm not sure if it is fractal or smooth:


* scale-1.png (173.23 KB, 609x479 - viewed 357 times.)

* scale-1b.png (50.06 KB, 633x457 - viewed 291 times.)
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Tglad
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« Reply #158 on: November 08, 2010, 06:01:15 AM »

On second thoughts I'm wrong, it probably is a partial solid, just that the bailout distance has to tend to infinity as the scale gets closer to -1.
« Last Edit: November 08, 2010, 09:43:57 AM by Tglad » Logged
KRAFTWERK
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« Reply #159 on: November 09, 2010, 09:04:06 AM »

You have to stop now Trafassel, it is so beautiful on the inside I wish I had more time, but some day I will get deep into Gestaltlupe!!!  afro
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trafassel
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trafassel
« Reply #160 on: November 16, 2010, 11:39:43 PM »

I don't want to stop. First, there are some questions to check (all have to do with some sorts of infinity).

In the meantime a video from my new project Spacekekse:

<a href="http://www.youtube.com/v/jIabDvJvmXo&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/jIabDvJvmXo&rel=1&fs=1&hd=1</a>  

Yes, everything in this video  (except some iteration count changing from 170 to 1700) is a  inside view of a 4 dimensional minScale=0  negative Mandelbox.

Music is done by Korg DS 10 on a Nintendo DS.

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twinbee
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« Reply #161 on: November 17, 2010, 06:19:26 PM »

Wow, I particularly like the 'foaming' section starting at 1:12.
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trafassel
Fractal Bachius
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trafassel
« Reply #162 on: November 17, 2010, 11:33:39 PM »

That is the only part in the film, where q (the new component in the dim4) ist greater than 0.01 .  Hard to find such a place.
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trafassel
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trafassel
« Reply #163 on: November 17, 2010, 11:50:03 PM »

Infinity or not infinity, that is the question.

But its an nice infinity. This is picture of the box attractor. After reding  Reply #157 and  Reply #158 at the same time, I forget the the scale -1 minr 0 mandelbox. And today I found out, that this must be a very nice fractal.


This is scale = -1.005 ,


* Data355pic10010a.jpg (242.72 KB, 1280x720 - viewed 288 times.)
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trafassel
Fractal Bachius
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trafassel
« Reply #164 on: November 18, 2010, 12:00:00 AM »

Zoom in Reply #163


* Data355pic10023a.jpg (228.83 KB, 1280x720 - viewed 311 times.)
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