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Author Topic: 3d Burning Ship & extension to 3d Mset for n=2,6,10..., odd n; & another formul  (Read 9605 times)
Description: Sign assignment to Burning Ship fractal creates Mandelbrot Set (read wikis)
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Jesse
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« Reply #15 on: October 30, 2010, 08:12:50 PM »

It is getting offtopic and i dont want to hijack this thread,
so please do questions about M3D in its directory...
(though the HS cant be made really quicker).

And i also will put new formulas in the M3D directory in the
future, this was only an exception.
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« Reply #16 on: October 31, 2010, 05:40:27 PM »

Inspired by visual's video above, I have also launched the render of some Julia transformations (+some rotations smiley) using Mat Benesi/Jesse's latest formula. Here is a keyframe:
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M Benesi
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« Reply #17 on: November 01, 2010, 04:32:01 AM »

Visual- Awesome animation!  That is really cool looking...

Bib- nice coloring.  Pow!  Looks like something coming outta the screen at you.  Waiting for the animation cheesy

Jesse-  I'm still finding the second formula to be the more interesting of the 2, although it's nice to have a Burning Ship variant (if you allow the pixel signs to vary (+/-) you'll get the more traditional shape, although I prefer the positive axis only version).  The second formula seems (at first glance) to generate a much greater variety of patterns. 

Click on the image for a bigger version.
« Last Edit: November 01, 2010, 05:32:39 AM by M Benesi » Logged

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« Reply #18 on: November 01, 2010, 09:42:32 AM »

There you go!
<a href="http://www.youtube.com/v/knDJRhLtjJc&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/knDJRhLtjJc&rel=1&fs=1&hd=1</a>
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M Benesi
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« Reply #19 on: November 01, 2010, 07:49:16 PM »

Awesome.  The interior glow is totally cool...  nice tune choice as well. 
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Jesse
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« Reply #20 on: November 02, 2010, 07:45:31 PM »

Jesse-  I'm still finding the second formula to be the more interesting of the 2, although it's nice to have a Burning Ship variant (if you allow the pixel signs to vary (+/-) you'll get the more traditional shape, although I prefer the positive axis only version).  The second formula seems (at first glance) to generate a much greater variety of patterns.  

I prefer also the absolute versions, the second formula does not look that harmonic to me, while offering more new structures.

Tested the third variant with the conditional negotiation, but maybe there is an error in my implementation, dunno...
(though it is not uninteresting, lower part contains the Mset, upper part something different)


* BenesiF3.jpg (126.41 KB, 800x600 - viewed 348 times.)
« Last Edit: November 02, 2010, 07:47:11 PM by Jesse » Logged
M Benesi
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« Reply #21 on: November 02, 2010, 08:50:11 PM »

I prefer also the absolute versions, the second formula does not look that harmonic to me, while offering more new structures.
  Do you think we should allow signs to vary (pixel signs) for the BS fractals so they are more like the traditional 2d BS fractals?  I like the harmony given by pixel absolute value assignments, but the "real" 2d BS fractal has that boring section on the bottom- which could be included if we allowed pixel variation (of course, this would also include z axis variations, which could be interesting).

Quote
Tested the third variant with the conditional negotiation, but maybe there is an error in my implementation, dunno...
(though it is not uninteresting, lower part contains the Mset, upper part something different)
  I like the way it looks- I'd check if it has an Mset cross section all the way through ; or is that what you mean by something different, the cross section at the axis has an Mset lower half and something else on top (forward sweeping Mset)?

  It looks like (not sure) you are using pixel absolute values?  I don't use those for the conditional negotiation variant (don't need them). 

  Also, I use the absolute value of the z component when checking whether to assign signs, rather than just the z component:

  if sy > abs(sz)  then... 

  although you get a continuous fractal (with a big "flat stretchy section") if you use:    if sy > sz    (no absolute value)

  Make sure your compiler doesn't give you the squared modulus of x when you put in |x| as well!  (I know CP does, which results in an entirely different sign assignment)...

  I think the fractal should have a complete 2d Mset cross section, and be fractally all over (no flat stretchy singularities). 
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« Reply #22 on: November 02, 2010, 09:35:21 PM »

Have you ever seen such a 3D burning ship? coooool!
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« Reply #23 on: November 02, 2010, 11:24:20 PM »

Have you ever seen such a 3D burning ship? coooool!

Holy WOW.

Does it float? smiley
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« Reply #24 on: November 02, 2010, 11:37:54 PM »

The material used for the burning ship animation does make me think of Terminater two.
Quicksilver-ish substance, I love it.
Especially when it is going higher than 20 degrees Celcius in my outside thermometer.
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M Benesi
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« Reply #25 on: November 03, 2010, 02:44:49 AM »

  Holy Crap!!  nice one Bib!

  Anyone else find it curious that you lose the 2d BS cross section when you take the absolute value of the new x component?  Anyways...

Soo....

 @Bib- quick question, did you use the second formula instead of the first?  The first is the Burning Ship variety.  The second is my favorite- a new cool type that is unnamed.  I'll show you why I ask...

  Around the -1.75 x axis mini bulb (of the second formula), there are the great towers (click for big), then the top at sunset (click for big):


  Which have spectacular, awe inspiring architecture (a zoom on the top of the right tower is forthcoming).

  And the arches, And a crappy zoom into them:


  And the Pièce de résistance, the Shrine of the Holy Grail (at the pointy end of the z^6):





 and last, but not least, click to BIGGIFY:
« Last Edit: November 03, 2010, 08:16:12 AM by M Benesi » Logged

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« Reply #26 on: November 03, 2010, 08:01:24 AM »

I used the 2nd. I did not find anything very interesting yet in the first one. The 2nd one also exhibits some interesting mini-BS-brots and structures in the corner of the half object, around (1,-1.5,0)
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M Benesi
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« Reply #27 on: November 03, 2010, 08:19:55 AM »

Thought so.  The second one isn't a BS fractal (well, it's a BS fractal in a sense, but it doesn't have the cross section, and actually I made it before I made the BS variant.. I think... dunno..).  I'll check that location (I'm assuming z^2).  Should be neat, found lots of awesomeness in this one!

  Bib- you gotta check out the other z^n... z^6 has a particularly sweet area at the pointy end (negative x axis end), with this kick ass shrine thingy with a grail in it.  I posted a few above.  
« Last Edit: November 03, 2010, 08:23:38 AM by M Benesi » Logged

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« Reply #28 on: November 03, 2010, 09:50:49 AM »

 Bib- you gotta check out the other z^n... z^6 has a particularly sweet area at the pointy end (negative x axis end), with this kick ass shrine thingy with a grail in it.  I posted a few above.  

Jesse's formula only offers z²...so far...wink

Btw, in your z^6, be careful, it's not the TRUE holy grail  grin grin
« Last Edit: November 03, 2010, 09:55:17 AM by bib » Logged

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« Reply #29 on: November 03, 2010, 07:59:53 PM »

 Bib- you gotta check out the other z^n... z^6 has a particularly sweet area at the pointy end (negative x axis end), with this kick ass shrine thingy with a grail in it.  I posted a few above.  

Jesse's formula only offers z²...so far...wink
 Hrmm...

  @Jesse-  Want a trig re-write?  I don't know if trig is easier to implement or simply faster to calculate.  Trig versions are about 1/2 as fast in ChaosPro, so I tend to use complex numbers (and they are also... familiar to fracteologists) to save render time.  Anyways, if you want a re-write, we have top men working on it now.  Who?  Top men.  (I always thought they said "two top men" in the pinball game)....
Quote
Btw, in your z^6, be careful, it's not the TRUE holy grail  grin grin
lol... nice caption.   Yeah... it's not a 3d Mandelbrot, but it is pretty cool.  The 4th order (I'd think every even n) has a "grail" thing at the pointy end as well.

  So, I assume it's down the pointy end near where your ship masts are, but I found these... and an interesting thing about them (you probably have seen already).

  I zoomed towards the base of the right most tower, iterated, than zoomed near a crack in the tower and iterated about 4 more times.. and ended up with nice structures.



  You know, it makes me wonder if these fractal tower structures have real world applications... engineering side of things, or maybe even IC architecture...
« Last Edit: November 03, 2010, 09:05:34 PM by M Benesi » Logged

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