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Author Topic: minScale0NegMandelbox  (Read 9044 times)
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DarkBeam
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #15 on: March 01, 2011, 11:57:10 PM »

A fractal that contains every other fractal! smiley This is what I call amazing!

Have you seen this very well done summary? http://www.miqel.com/fractals_math_patterns/mandelbox_3d_fractal.html

I am really speechless! The mbox is really an infinite universe, how many years it will take to explore it ...? cheesy
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No sweat, guardian of wisdom!
bib
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Posts: 2070


At the borders...


100008697663777 @bib993
WWW
« Reply #16 on: March 02, 2011, 12:17:39 AM »

A fractal that contains every other fractal! smiley This is what I call amazing!

Have you seen this very well done summary? http://www.miqel.com/fractals_math_patterns/mandelbox_3d_fractal.html

I am really speechless! The mbox is really an infinite universe, how many years it will take to explore it ...? cheesy

Now maybe you understand why your formulae do not get as much attention as you expect, there is already so much to explore just in the Mandelbox shocked wink
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Between order and disorder reigns a delicious moment. (Paul Valéry)
trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #17 on: March 03, 2011, 09:56:17 PM »

A fractal that contains every other fractal! smiley This is what I call amazing!

Not every fractal. One is still missing :-)
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trafassel
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trafassel
« Reply #18 on: March 03, 2011, 10:34:55 PM »

Two other spots in the scale 1.04 Mandelbox.


* Data546pic10193small.jpg (153.83 KB, 1280x720 - viewed 238 times.)

* Data548pic10309a.jpg (254.39 KB, 1280x720 - viewed 255 times.)
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trafassel
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trafassel
« Reply #19 on: March 06, 2011, 11:11:05 PM »

The monster and the net.


* Data547pic10156small.jpg (253.07 KB, 1280x720 - viewed 250 times.)

* Data547pic10121smallb.jpg (251.05 KB, 1280x720 - viewed 256 times.)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #20 on: April 18, 2011, 10:19:31 PM »

another world.


* Data560pic10005b.jpg (254.4 KB, 1200x1200 - viewed 475 times.)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #21 on: April 24, 2011, 01:28:49 AM »

And again, there is so much to explore.


* Data560pic10060small.jpg (254.5 KB, 1200x1200 - viewed 286 times.)

* Data560pic10069small.jpg (254.12 KB, 1200x1200 - viewed 248 times.)
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trafassel
Fractal Bachius
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trafassel
« Reply #22 on: April 25, 2011, 12:16:24 PM »

The house of my grandmother.


* Data560pic10121small.jpg (253.98 KB, 1200x1200 - viewed 265 times.)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #23 on: April 28, 2011, 01:23:16 AM »

Is not here.

Which way to go?



* Data562pic10154b_d.jpg (193.93 KB, 1200x1104 - viewed 398 times.)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #24 on: April 29, 2011, 05:33:43 PM »

But in the box, most of the ways ends at a wall.


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trafassel
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Posts: 531


trafassel
« Reply #25 on: June 07, 2011, 10:59:17 PM »

Negative scaling variant of the AbsBox, described in:
http://www.fractalforums.com/new-theories-and-research/mandelbox-variant-21/

Very "bulby" surface details, but some new structures.



* Data83pic10046small.jpg (253.85 KB, 1200x1200 - viewed 233 times.)

* Data83pic10074a.jpg (252.95 KB, 1200x1200 - viewed 288 times.)
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msltoe
Iterator
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Posts: 187


« Reply #26 on: June 14, 2011, 02:37:58 AM »

trafassel,

 Surprisingly, the following is nothing more than an inverted Mandelbox (your invention) with

 params: scale=1, fold @ 0.5, and minr = 0. seed = 0,-4,0. found by dainbramage.

It seems to look like a Riemann sphere fractal.



-mike
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #27 on: June 15, 2011, 07:12:20 PM »

Beautiful image, msltoe.

What is fold @ 0.5?

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msltoe
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Posts: 187


« Reply #28 on: June 16, 2011, 01:50:09 AM »

Thanks. I didn't know at first from Jesse's parameters, but trying it out on my code, Fold:0.5 means "if (x>0.5) x=1-x", etc. instead of the usual if (x>1)...
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #29 on: June 18, 2011, 01:03:37 AM »

Very interesting formula, but I cannot reproduce it. With scale=1 I just just got spheres with center at (0,0,0).   :-(

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