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Author Topic: scale -1.5 mandelbox mimicking other fractals  (Read 21303 times)
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jehovajah
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« Reply #15 on: March 16, 2010, 06:47:31 AM »

I would like to take a holiday on this planet. Could you zoom in and find me a nice hotel? With a sea view please!   grin
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Buddhi
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« Reply #16 on: March 19, 2010, 06:14:44 PM »

@Tglad, you rendered very interesting images and inspired me also to explore Mandelbox with scale = -1.5. Shapes are really interesting and diverse.
Below there is some result of my exploration:


http://www.fractalforums.com/index.php?action=gallery;sa=view;id=1880
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kram1032
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« Reply #17 on: March 19, 2010, 07:26:18 PM »

It's great how this fractal shows both very flat and very round parts. Something you see hardly ever.
The shapes still are kinda related to each other but in a very different way to usual cheesy
Very nice shot, Buddhi cheesy
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Tglad
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« Reply #18 on: March 21, 2010, 12:45:00 AM »

Hey your pic has a floating 2d fractal in it too!
On the bottom right of the Jupiter moonlife picture is a floating plane looking like 2d cantor dust.
The one in your pic (right of middle) looks like a tree fractal, very cool  afro definitely seen that type somewhere before.
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Tabasco Raremaster
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« Reply #19 on: March 21, 2010, 03:54:44 AM »

Great Image, wonderful program . Problem is that I can`t manage to use numbers like -1.5 or 2.5 only whole numbers. Also when I save a setting the program automatically makes the -1.5 a -1 and the 2.5 a 2
Enough to learn and discover in the box still but I would love to see scale 2.2 and 3.3 etc.( or do these numbers make no sense at all? )
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Timeroot
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« Reply #20 on: March 21, 2010, 05:17:24 PM »

Tabasco, which program are you using?? In most programs, you should be able to set it to whichever value you want. And in fact, and real number makes sense. You could even try 1-sqrt(2), or -0.414, if you wanted.  cheesy

... *reflects on this for a moment * ...

...has anyone tried with a "complex" scale value, that is, throwing in some rotation? With x=scale*(cos(rot)*oldx + sin(rot)*oldz), y=scale*(cos(rot)*oldy + sin(rot)*oldx), and z=scale*(cos(rot)*oldz + sin(rot)*oldy) you might able to get some interesting Mset style effects going on within this cube, without the whole formula mixing others have proposed. I'm sure that, any way, it would look pretty cool.  afro
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« Reply #21 on: March 25, 2010, 12:50:33 AM »

I briefly tried rotating by 90 degrees each iteration, I can't remember what it looked like though.

These next images aren't about mimicking so a little off topic (though ker2x's last image in the gallery shows a nice and somehow familiar looking fractal in the face of the box)...
They just look interesting so I thought I'd post them:

This is like the side of a dusty desert canyon before the rain


After rain the shrubs start to bloom and release their pollen smiley

This change is just a simple shift of the colour spectrum, simple as that.

A strange structural system-

(parameter files included in the image description in the gallery)
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reesej2
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« Reply #22 on: March 25, 2010, 01:51:44 AM »

On the note of trying a complex scaling value: while we're at it, why not try a triplex scale? I feel like the explanation behind the variety in the -1.5 Mandelbox lurks in the more general ideas.
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Tglad
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« Reply #23 on: March 30, 2010, 01:17:29 AM »

Helicopter ride

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=1973

The bushes are actually disconnected (have floating parts) so no point in a closer shot.
The interesting thing is that the grass/shrubs are growing on the top side and not on the walls... which is strangely accurate and very  afro
« Last Edit: March 30, 2010, 05:53:31 AM by Tglad » Logged
reesej2
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« Reply #24 on: March 30, 2010, 01:23:39 AM »

Huh, interesting... the "shrubs" are funky... Also, those pits look like they have vertical walls, but they curve irregularly. Weird.
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trafassel
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« Reply #25 on: April 05, 2010, 07:49:53 PM »

Green place near the town (scale = -1.82;)


* Data293pic10616a.jpg (118.01 KB, 1280x720 - viewed 295 times.)
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cKleinhuis
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« Reply #26 on: April 06, 2010, 08:54:36 PM »

confirmed, complex scale values give interesting results ( i am just exploring 2d mandelbox sad ) , but i have to ask,
how do those tree like structures pop up !?
is it just negative scale ?!?!
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Tglad
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« Reply #27 on: April 07, 2010, 01:56:13 AM »

Yes, there are lots of these tree/shrub things around (0.9, 2, -1.8 ) in the scale -1.5 Mandelbox. I think they probably exist in other areas too, e.g. the simple trees at the start of this post.
I would guess they exist in most -ve Mandelboxes, but never seen one in a +ve Mandelbox.
« Last Edit: April 07, 2010, 04:46:32 AM by Tglad » Logged
trafassel
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trafassel
« Reply #28 on: April 21, 2010, 09:45:26 PM »

In this video the scale values changes from positive to negative. Negative values gives a completely different shape of the Mandelbox (which is in the case a Juliabox, defined at (0,0,0)).

<a href="http://www.youtube.com/v/2hE1oUI5DVk&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/2hE1oUI5DVk&rel=1&fs=1&hd=1</a>
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kram1032
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« Reply #29 on: April 21, 2010, 09:49:49 PM »

nice animation. Poorly it's quite noisy...
Against zero, it seems to approach infinite size... Or was the smooth cube at zero?
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