POV-Ray : Newsgroups : povray.binaries.images : Real fractal "cheese" (ie Sierpinski box) Server Time
4 Oct 2024 05:21:04 EDT (-0400)
  Real fractal "cheese" (ie Sierpinski box) (Message 1 to 10 of 12)  
Goto Latest 10 Messages Next 2 Messages >>>
From: Anders Haglund
Subject: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 09:32:30
Message: <3721b9de.0@news.povray.org>
Hi everybody!

Just thought I had to post this image I made a couple of months ago. It's
kind of cool.
It took about 6 minutes to parse and around 6 minutes to trace. It would
have been faster if I'd had more memory, the swap was working hard...
BTW, it's made out of 160000 boxes... sweet.

/Anders


Post a reply to this message


Attachments:
Download 'sponge.jpg' (28 KB)

Preview of image 'sponge.jpg'
sponge.jpg


 

From: TonyB
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 11:12:06
Message: <3721C411.50251D70@panama.phoenix.net>
Oooooo....Aaaaaaa Very cool. (= I saw this thing in a magazine once, but the
camera was somewhere in the center of the box. Kinda looks like a city.


Post a reply to this message

From: Charles Krause
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 11:18:22
Message: <3721d2ae.0@news.povray.org>
Very nice :)

Now - if you can just do an animation where the camera 'flies through' that
central hole (ok, so maybe it has to find an alternative 'twisty' path if
the very middle is solid), maybe some camera pans as it's moving around....
;)


Post a reply to this message

From: Steve
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 11:19:49
Message: <3721D298.57FBF132@ndirect.co.uk>
Well sweet, do some more, Please!  I love it. 

Thanks
Steve


Anders Haglund wrote:
> 
> Hi everybody!
> 
> Just thought I had to post this image I made a couple of months ago. It's
> kind of cool.
> It took about 6 minutes to parse and around 6 minutes to trace. It would
> have been faster if I'd had more memory, the swap was working hard...
> BTW, it's made out of 160000 boxes... sweet.
> 
> /Anders
> 
>  [Image]


Post a reply to this message

From: Chris Maryan
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 15:54:51
Message: <37221440.374E7840@geocities.com>
To refresh my math skills for a university entrance exam/math contest a
few days ago, I tried to express the area and volume of this shape as a
mathematical formula based on the number of iterations. But I can't keep
all of the numbers straight in my head long enough to figure out
anything, and although the contest was on Wednesday, my inability to
figure this one out has been driving me nuts ever since.

Can any of the mathematically talented people help me out with this one?

Thanks a bunch,

-- 
Chris Maryan
mailto:cma### [at] geocitiescom
***
Will work for cash.
***
Email me if you are interested in donating
to the Chris Maryan needs money fund.
We will also accept donations to the Chris
needs a Pentium III or SGI workstation 
fund and the Chris needs a car fund.


Post a reply to this message

From: Margus Ramst
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 17:27:51
Message: <37222947.0@news.povray.org>
Considering te fact that this is some serious CSG and seems to be using soft
shadows, I'm surprised it rendered even this fast. What machine do you use?

Margus

Anders Haglund wrote in message <3721b9de.0@news.povray.org>...
>Hi everybody!
>
>Just thought I had to post this image I made a couple of months ago. It's
>kind of cool.
>It took about 6 minutes to parse and around 6 minutes to trace. It would
>have been faster if I'd had more memory, the swap was working hard...
>BTW, it's made out of 160000 boxes... sweet.
>
>/Anders
>
>
>


Post a reply to this message

From: Thomas Lake
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 20:04:46
Message: <37224F79.61D88FEF@home.com>
I don't think its a CSG. I think it just uses a fractal formula to produce the
shape. the holes you see are a result of the fractal not CSGs. Though I could be
wrong, not knowing anything about fractals :-)

Margus Ramst wrote:

> Considering te fact that this is some serious CSG and seems to be using soft
> shadows, I'm surprised it rendered even this fast. What machine do you use?
>
> Margus
>
> Anders Haglund wrote in message <3721b9de.0@news.povray.org>...
> >Hi everybody!
> >
> >Just thought I had to post this image I made a couple of months ago. It's
> >kind of cool.
> >It took about 6 minutes to parse and around 6 minutes to trace. It would
> >have been faster if I'd had more memory, the swap was working hard...
> >BTW, it's made out of 160000 boxes... sweet.
> >
> >/Anders
> >
> >
> >


Post a reply to this message

From: Margus Ramst
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 20:32:22
Message: <37225486.0@news.povray.org>
You might be right... But if its constructed of tiny boxes then I'm having
trouble visualizing their placement.

Margus

Thomas Lake wrote in message <37224F79.61D88FEF@home.com>...
>I don't think its a CSG. I think it just uses a fractal formula to produce
the
>shape. the holes you see are a result of the fractal not CSGs. Though I
could be
>wrong, not knowing anything about fractals :-)
>


Post a reply to this message

From: Anders Haglund
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 20:36:11
Message: <3722556b.0@news.povray.org>
Well, I can help you this much:
the number of boxes at n iterations is 20^n (n > 0) and the size of each box
is (1/(3^n))^3 (hmm... I think, anyway).
If the initial box is 1x1x1 this should be right... but I'm not sure, it's
1:30am here and I've had a few beers =)
This should make the volume (20^n) * ((1/(3^n))^3).

/Anders

Chris Maryan wrote:
>To refresh my math skills for a university entrance exam/math contest a
>few days ago, I tried to express the area and volume of this shape as a
>mathematical formula based on the number of iterations. But I can't keep
>all of the numbers straight in my head long enough to figure out
>anything, and although the contest was on Wednesday, my inability to
>figure this one out has been driving me nuts ever since.
>
>Can any of the mathematically talented people help me out with this one?
>
>Thanks a bunch,
>
>--
>Chris Maryan
>mailto:cma### [at] geocitiescom
>***
>Will work for cash.
>***
>Email me if you are interested in donating
>to the Chris Maryan needs money fund.
>We will also accept donations to the Chris
>needs a Pentium III or SGI workstation
>fund and the Chris needs a car fund.


Post a reply to this message

From: Anders Haglund
Subject: Re: Real fractal "cheese" (ie Sierpinski box)
Date: 24 Apr 1999 20:41:39
Message: <372256b3.0@news.povray.org>
It's not made with CSG, it's just generated boxes. I made a CSG version too,
it parsed faster but the rendering was much slower.
As for the soft shadows I used a 4x4 non-adaptive area-light with a smal
amount of jitter.
I used a p2-266 to render the picture BTW.

/Anders

Margus Ramst wrote:
>You might be right... But if its constructed of tiny boxes then I'm having
>trouble visualizing their placement.
>
>Margus
>
>Thomas Lake wrote in message <37224F79.61D88FEF@home.com>...
>>I don't think its a CSG. I think it just uses a fractal formula to produce
>the
>>shape. the holes you see are a result of the fractal not CSGs. Though I
>could be
>>wrong, not knowing anything about fractals :-)
>>


Post a reply to this message

Goto Latest 10 Messages Next 2 Messages >>>

Copyright 2003-2023 Persistence of Vision Raytracer Pty. Ltd.