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Author Topic: 4D Menger sponge  (Read 8813 times)
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makc
Strange Attractor
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Posts: 272



« Reply #15 on: January 22, 2010, 07:19:46 PM »

oh the site is back, but old topic URLs do not work sad

any way, there was short animation of last thing that I wanned to post yesterday:

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kram1032
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Posts: 1863


« Reply #16 on: January 22, 2010, 08:43:04 PM »

(or real universe is flat, however, so if God were to build 4D sponge and swing it through our world you would see David sponge, not this).

Even if you get closer to relativistic speeds? smiley

Very nice stuff cheesy
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cKleinhuis
Administrator
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Posts: 7044


formerly known as 'Trifox'


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« Reply #17 on: January 23, 2010, 11:19:51 PM »

oh the site is back, but old topic URLs do not work sad
police everything is fine again, sry for inconvenience  police
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---

divide and conquer - iterate and rule - chaos is No random!
DarkBeam
Global Moderator
Fractal Senior
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #18 on: December 06, 2016, 10:40:11 PM »

 :-
The site xs.to is down.
Anyone can do a quick render of this thingy?
Looks very similar to the "NewMenger" fractal. alien alien alien
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No sweat, guardian of wisdom!
mclarekin
Fractal Senior
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Posts: 1739



« Reply #19 on: December 07, 2016, 12:07:20 AM »

IIt looks like I should be able to do it in MandlebulberV2 c++ without much work, I  can but try:)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #20 on: December 07, 2016, 07:09:13 PM »

Replace
fmod (x*p, 3)
with
x*p % 3

In first entry of this thread gives the following Gestaltlupe formula:

Code:
public override bool GetBool(double x,double y,double z)
{
  // pick w at any hyperplane crossing unit hypercube
  double w = 1 - x - y - z;
  int iterations = 7;
  if ((x<0)||(x>1)||(y<0)||(y>1)||(z<0)||(z>1)||(w<0)||(w>1)) return false;
  double p = 3;
  for (int m = 1;m < iterations;  m++)
  {
    double xa = x*p % 3;
    double ya = y*p % 3;
    double za = z*p % 3;
    double wa = w*p % 3;
    if (/* any two coordinates */
    ((xa > 1.0) && (xa < 2.0) && (ya > 1.0) && (ya < 2.0)) ||
    ((ya > 1.0) && (ya < 2.0) && (za > 1.0) && (za < 2.0)) ||
    ((xa > 1.0) && (xa < 2.0) && (za > 1.0) && (za < 2.0)) ||
    ((xa > 1.0) && (xa < 2.0) && (wa > 1.0) && (wa < 2.0)) ||
    ((ya > 1.0) && (ya < 2.0) && (wa > 1.0) && (wa < 2.0)) ||
    ((wa > 1.0) && (wa < 2.0) && (za > 1.0) && (za < 2.0))
    ) return false;
    p *= 3;
  }
  return true;
}





* Data188pic10023s256.jpg (251.99 KB, 1200x1200 - viewed 280 times.)
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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #21 on: December 07, 2016, 09:00:45 PM »

The David Sponge Variant:
double w = 1.5 + x - y - z



* Data188pic10032s256.jpg (250.15 KB, 1200x1200 - viewed 241 times.)
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DarkBeam
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Fractal Senior
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #22 on: December 07, 2016, 11:07:46 PM »

Your program is great. The absence of de is great to create more freely shapes...  Azn
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No sweat, guardian of wisdom!
trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #23 on: December 08, 2016, 12:39:14 AM »

Thank you.

Here is:
double w = x + y


* Data1pic10004s256.jpg (251.68 KB, 1200x1200 - viewed 232 times.)
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mclarekin
Fractal Senior
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Posts: 1739



« Reply #24 on: December 08, 2016, 02:19:06 AM »

Looking good and sharp images.  afro  Looks like there is a lot to explore. 

my fragmentarium DE version attempt is debugged of syntax errors but produces nothing.

I will next try it using DelatDE in mandelbulber.

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trafassel
Fractal Bachius
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Posts: 531


trafassel
« Reply #25 on: December 08, 2016, 07:20:59 AM »

Fragmentatium supports also rendering without distance estimation.

http://blog.hvidtfeldts.net/index.php/2012/09/rendering-3d-fractals-without-a-distance-estimator/

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Crist-JRoger
Fractal Fertilizer
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Posts: 389



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« Reply #26 on: December 09, 2016, 08:39:08 AM »

Fragmentatium supports also rendering without distance estimation.

http://blog.hvidtfeldts.net/index.php/2012/09/rendering-3d-fractals-without-a-distance-estimator/


Yes, but visually, it is very sad and scary  shocked
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knighty
Fractal Iambus
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Posts: 819


« Reply #27 on: December 09, 2016, 04:01:39 PM »

Hi,

Syntopia already did one. <a href="https://www.youtube.com/v/IV2qVKbVTq4&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/IV2qVKbVTq4&rel=1&fs=1&hd=1</a>
I don't know if he made the code available though.
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