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Published: 2007-09-12 23:04:00 +0000 UTC; Views: 14018; Favourites: 86; Downloads: 492
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Description inspired by the incredible demo from 2001: [link]


it was quite a challenge to render this thing, in several ways:

1. the deep fractal iteration is pretty difficult to handle numerically, and getting a normal to this thing's surface (which it technically, in the limit, doesn't have) is pretty ugly.

2. it was rendered with 3 different builds of my renderer (big thanks to *Aexion for help with the rendering!), which means keeping track of lots of system variables and state files in various states of completion...

3. the builds i used to render didn't have proper state-combining functionality, so i integrated that into my latest code which was rendering a different scene by that time.

4. the temptation to stop rendering this and bake some of the newer stuff was immense!

edit: improved image quality, and it's now png

~feckt wanted to render something like this, so i hacked together a little application for him in like 5 minutes that will produce an .obj file of the sierpinski tetrahedron. it takes a commandline parameter for the recursion depth, the default is 4; interested parties can download that here: [link]
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Comments: 90

al1babaa [2013-09-20 19:53:54 +0000 UTC]

Nice pic - do ypu still have your app for creating the sierpinski tetrahedron ?
I would like to try it out : -)

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lyc In reply to al1babaa [2013-09-20 20:27:04 +0000 UTC]

sorry it's definitely way too old to be usable by now, it was hardcoded for 4 threads and crashes on anything else, besides many other problems. oh, and it isn't even "usable", the exe just runs and spits out this bmp file.


on the plus side, indigo renderer will eventually support implicit surfaces, and this guy will definitely feature in there

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al1babaa In reply to lyc [2013-09-20 21:30:35 +0000 UTC]

Thanks

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Macaronnicat [2013-06-11 21:20:18 +0000 UTC]

cool...

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seied [2012-02-06 17:50:29 +0000 UTC]

Beautiful & inspirational.

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CristalEnt [2011-03-27 00:38:09 +0000 UTC]

its beautiful

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lyc In reply to CristalEnt [2011-04-04 21:26:09 +0000 UTC]

thanks!

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Trance-Plant [2010-01-30 19:23:33 +0000 UTC]

Very beautiful 3D-fractal!

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lyc In reply to Trance-Plant [2010-01-31 00:41:20 +0000 UTC]

appreciated to be honest though, i think this is one of my worst / least impressive ones

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anaglyph [2009-12-15 19:11:24 +0000 UTC]

I demand stereo pair!

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lyc In reply to anaglyph [2009-12-16 11:46:00 +0000 UTC]

unfortunately i can't oblige, most of my images are once-off (produced by code alone, since modified).

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anaglyph In reply to lyc [2010-01-15 07:13:42 +0000 UTC]

do you still have hittest formula? my brain hurts when I am trying to derive those things.

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lyc In reply to anaglyph [2010-01-15 21:09:32 +0000 UTC]

don't think so, sorry

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Trick-catalyst6 [2009-11-01 22:53:06 +0000 UTC]

this is insane

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lyc In reply to Trick-catalyst6 [2009-11-01 23:06:32 +0000 UTC]

thanks, glad you like it i've done better works since, however! (imo)

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DoppiaC [2009-09-12 13:31:55 +0000 UTC]

This thing is incredible! *_*

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lyc In reply to DoppiaC [2009-09-13 11:57:18 +0000 UTC]

thanks, it's an older work but still quite interesting i hope

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Void-Hamlet-Herself [2009-05-27 09:38:45 +0000 UTC]

Still need a little more space above and below, though. NEED.

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lyc In reply to Void-Hamlet-Herself [2009-05-27 21:53:32 +0000 UTC]

i should do a new version just for you <3

can you gimme a sketch of the composition? the object is basically an icosahedron, it's just very distorted here because of a wide field of view.

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Void-Hamlet-Herself In reply to lyc [2009-05-27 22:04:24 +0000 UTC]

Yeah, I know what it basically is. I just need to see a bit more of the background above and below it. Like, I feel the inexplicable urge to add 2 cm of background above and below the icosahedron's top and lowest edge, respectively.

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Void-Hamlet-Herself [2009-05-27 09:37:56 +0000 UTC]

Ding! - I Return.

This one piece, it keeps haunting me. Pulling me back. Argh.

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CasimirsBlake [2009-05-15 19:28:38 +0000 UTC]

Depth-of-field for the win, or something. Unique, but not abstract, the shape is surprisingly simple, despite looking complex from a distance. Good stuff!

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ilFOLINI [2009-05-15 15:14:39 +0000 UTC]

It's inspired by the Menger Sponge? We've been studiyng the Menger Sponge at school this year, and it looks symilar

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lyc In reply to ilFOLINI [2009-08-18 09:18:25 +0000 UTC]

whoops, sorry i missed this comment!

yes, it's quite similar: instead of the centre missing from a square (and repeated on the remaining parts), it's the same process starting with a triangle.

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ilFOLINI In reply to lyc [2009-08-18 09:26:03 +0000 UTC]

^^

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thr337 [2009-01-14 23:47:17 +0000 UTC]

very cool man. reminds me of the platonic solid.

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lyc In reply to thr337 [2009-01-15 00:00:54 +0000 UTC]

thanks it is indeed based on the icosahedron, with a simple fractal iteration based on its constituent tetrahedra.

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Nickmeister [2008-11-14 20:03:18 +0000 UTC]

excellent work. its a very impressive render

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lyc In reply to Nickmeister [2008-11-15 10:55:36 +0000 UTC]

thank you since i rendered this my application has evolved a lot, and now produces much crisper images (here a little over blurred)

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Nickmeister In reply to lyc [2008-11-15 18:18:03 +0000 UTC]

great. I quite like the blur, gives it more depth when it only focuses at a certain distance

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Hop41 [2008-11-04 14:15:52 +0000 UTC]

It easy to make sierpinski octahedra and tetrahedra since squares and equilateral triangles tile a plane.
But tiling the plane with pentagons is a different thing altogether. The largest object seems to be a 5 sided pyramid. But it doesn't look like the smaller pyramids meet each other along a line lieing in the pentagon base face.
The top triangle face looks like an isosceles triangle similar to the original but the bottom two seem like shorter scalene triangles.
Wish I could move this thing about in 3 dimensions so I could get an idea of what's going on.

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ilFOLINI In reply to Hop41 [2009-08-18 09:27:35 +0000 UTC]

[link]

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turon-marcano [2008-10-19 01:43:15 +0000 UTC]

Very nice

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lyc In reply to turon-marcano [2008-10-19 09:52:17 +0000 UTC]

thanks

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LovesSecret [2008-08-22 13:17:46 +0000 UTC]

holy crap o:
you = awesome (:

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lyc In reply to LovesSecret [2008-08-23 00:52:29 +0000 UTC]

thanks, glad you like this kinda stuff is quite easy to make at my age if you've learnt enough maths over the years... really my only contribution is setting up the camera, the rest is entirely made with the sort of equations you'll find everywhere in nature so i can't really take credit for it!

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LovesSecret In reply to lyc [2008-08-23 00:55:29 +0000 UTC]

xD well, its still an awesome shot ^^

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DEMISART [2008-05-12 16:30:35 +0000 UTC]

You are crazy ! How did you manage to render this ? How long did it take ?
Did you use a fractal program or a 3d one ?
You rock !

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lyc In reply to DEMISART [2008-05-12 16:52:11 +0000 UTC]

lol yes i am crazy it was generated using a mathematical procedure coded in c++, visualised by my allura rendering system (it's still in its infancy). rendering time was probably a few hours on my quadcore.

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DEMISART In reply to lyc [2008-05-13 05:53:24 +0000 UTC]

You have a quadcore and took you hours ?

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lyc In reply to DEMISART [2008-05-13 06:09:18 +0000 UTC]

hardcore optimised 64bit build, 4x3ghz

yes, i try to make the most of my available resources

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theLOC [2007-12-22 15:26:57 +0000 UTC]

All those sierpinskis... What software do you use?

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lyc In reply to theLOC [2007-12-22 16:23:55 +0000 UTC]

my renderer, allura. spectral, physically-based rendering, metropolis-hastings sampling and all that jazz.

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ZeKRoBzS [2007-11-06 05:17:04 +0000 UTC]

omg xD looks amazing!

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lyc In reply to ZeKRoBzS [2007-11-06 05:31:06 +0000 UTC]

actually my program's made a lot of progress since i rendered this thanks!

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erthbndangl [2007-09-29 01:19:37 +0000 UTC]

Wow. Thats incredible! It looks so real, like a plastic model almost.

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lyc In reply to erthbndangl [2007-09-30 06:09:26 +0000 UTC]

i'm using a prety advanced rendering method now, based on this dude's work: [link]

the plastic look worked out kinda ok here (glad you like it!), but i want to investigate other - more interesting - reflectance models (esp. metals) after my exams

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erthbndangl In reply to lyc [2007-09-30 06:15:41 +0000 UTC]

Sounds neat! I'm glad you understand all of it, cause it looks a little too complex for my head..then again as you say the life of a programmer...

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sequential [2007-09-25 05:45:30 +0000 UTC]

Very ominous looking. Well done!

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lyc In reply to sequential [2007-09-25 09:21:54 +0000 UTC]

thanks

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