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21 Oct 2026 02:06:28 EDT (-0400)
  Pyramid fractal sort of.... (Message 1 to 23 of 23)  
From: Anders Haglund
Subject: Pyramid fractal sort of....
Date: 23 Apr 1999 19:40:30
Message: <3720f6de.0@news.povray.org>
Hi everyone.

Here is a small cool 3D fractal I slamed together. I don't know what it's
called but I recon it's closely related to the fractal in the "fractal
cheese" posting.
Don't complain about the floor! =)
Anyway, enjoy or what ever...

/Anders


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From: Charles Krause
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 19:48:56
Message: <3720f8d8.0@news.povray.org>
>
>Here is a small cool 3D fractal I slamed together. I don't know what it's
>called but I recon it's closely related to the fractal in the "fractal
>cheese" posting.

>Don't complain about the floor! =)


I don't know what it's called, but it's got an official name in mathamatics.

Would you be willing to post the recursive macro you used?

Oh, BTW, this is the default 'floor' I use in all my images.... it's a bit
more interesting :)

plane {
         y, 0
         texture {
                    pigment { checker color rgb 1.0, color rgb 0.1 }
                    finish { reflection 0.05 ambient 0.0 }
                    normal { quilted scale 1/2 }
                    }
         }


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From: Nicholas DePetrillo
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 20:02:18
Message: <3720fbfa.0@news.povray.org>
its called a Phascal triangle (phascal's triangle or pascal's triangle)


Thats what you were looking for.

NicK D


Charles Krause <osi### [at] cheerfulcom> wrote in message
news:3720f8d8.0@news.povray.org...
> >
> >Here is a small cool 3D fractal I slamed together. I don't know what it's
> >called but I recon it's closely related to the fractal in the "fractal
> >cheese" posting.
>
> >Don't complain about the floor! =)
>
>
> I don't know what it's called, but it's got an official name in
mathamatics.
>
> Would you be willing to post the recursive macro you used?
>
> Oh, BTW, this is the default 'floor' I use in all my images.... it's a bit
> more interesting :)
>
> plane {
>          y, 0
>          texture {
>                     pigment { checker color rgb 1.0, color rgb 0.1 }
>                     finish { reflection 0.05 ambient 0.0 }
>                     normal { quilted scale 1/2 }
>                     }
>          }
>
>
>
>
>


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From: Steve
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 20:15:51
Message: <3720FF41.726BE912@ndirect.co.uk>
Nice one.

Steve

Anders Haglund wrote:
> 
> Hi everyone.
> 
> Here is a small cool 3D fractal I slamed together. I don't know what it's
> called but I recon it's closely related to the fractal in the "fractal
> cheese" posting.
> Don't complain about the floor! =)
> Anyway, enjoy or what ever...
> 
> /Anders
> 
>  [Image]


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From: Alex Vandiver
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 20:58:01
Message: <37210900.69F52F1F@tiac.net>
Nicholas DePetrillo wrote:

> its called a Phascal triangle (phascal's triangle or pascal's triangle)

In this case, I don't think it is.  Pascal's triangle is used for distributions,
etc.  It's not a geometrial form, really.  This is a 3D version of what is
called a Sierpinski Triangle.  The "cheese" looks like a Sierpinski Box, but it
doesn't have enough holes; it would have to have 9 holes per side at level 2.
Oh, well..
-Alex


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From: Anders Haglund
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 21:25:15
Message: <37210f6b.0@news.povray.org>
Charles Krause wrote:

>[snip, snip]
>Would you be willing to post the recursive macro you used?
>[snip, snip]

I posted the source for the scene in povray.text.scene-files.
Btw, thnx for the floor =)

/Anders


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From: Nicholas DePetrillo
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 21:56:25
Message: <372116b9.0@news.povray.org>
Yup i think your rigthon this one, That doesnt seem to be a pashcals
triangle (or however you spell it) oh well.

Nick D
Anders Haglund <and### [at] hotmailcom> wrote in message
news:3720f6de.0@news.povray.org...
> Hi everyone.
>
> Here is a small cool 3D fractal I slamed together. I don't know what it's
> called but I recon it's closely related to the fractal in the "fractal
> cheese" posting.
> Don't complain about the floor! =)
> Anyway, enjoy or what ever...
>
> /Anders
>
>
>
>


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From: Spider
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 22:44:22
Message: <372120C4.A37E94F2@bahnhof.se>
hehe, it's kewl..
really nice shape...

*smiles*


Anders Haglund wrote:
> 
> Hi everyone.
> 
> Here is a small cool 3D fractal I slamed together. I don't know what it's
> called but I recon it's closely related to the fractal in the "fractal
> cheese" posting.
> Don't complain about the floor! =)
> Anyway, enjoy or what ever...
> 
> /Anders
> 
>  [Image]

-- 
//Spider
        [ spi### [at] bahnhofse ]-[ http://www.bahnhof.se/~spider/ ]
What I can do and what I could do, I just don't know anymore
                "Marian"
        By: "Sisters Of Mercy"


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From: Chris Maryan
Subject: Re: Pyramid fractal sort of....
Date: 23 Apr 1999 23:22:06
Message: <37212B87.C85ED3CB@geocities.com>
In 2D, the recursive triangle shape thing is properly called
Sierpinski's Gasket, alternatively Sierpinski's Triangle. It is closely
related to Pascal's Triangle, a series of numbers in a triangle pattern
used for various mathematical things. If you colour every odd number in
pascals triangle black and all the even ones white, you get this
pattern. In 2D, there are dozens of unique techniques for getting this
shape (including fractal trees, it may be possible in 3D using Giles'
macro although I haven't looked at it).

For reference, Pascals Triangle:

		1
               1 1
              1 2 1
             1 3 3 1
            1 4 6 4 1
And so on...
(And if you can't figure out the pattern, think harder :-)
The area of your triangle approaches 0, and I can't remember if the
perimeter is finite or goes to infinity.


Anders Haglund wrote:
> 
> Hi everyone.
> 
> Here is a small cool 3D fractal I slamed together. I don't know what it's
> called but I recon it's closely related to the fractal in the "fractal
> cheese" posting.
> Don't complain about the floor! =)
> Anyway, enjoy or what ever...
> 
> /Anders
> 
>  [Image]

-- 
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.


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From: TonyB
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 00:47:28
Message: <372131A6.1260D8F0@panama.phoenix.net>
Would the admin please erase this lying SO*'s messages? All of them, from the
ocean to the rolex, to this. I can't stand to see this guy here. Thank you.


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From: Spider
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 00:56:13
Message: <37213FAA.1214A70@bahnhof.se>
I think you are lost in the posts again my friend...



TonyB wrote:
> 
> Would the admin please erase this lying SO*'s messages? All of them, from the
> ocean to the rolex, to this. I can't stand to see this guy here. Thank you.

-- 
//Spider
        [ spi### [at] bahnhofse ]-[ http://www.bahnhof.se/~spider/ ]
What I can do and what I could do, I just don't know anymore
                "Marian"
        By: "Sisters Of Mercy"


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From: bankspad
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 03:29:49
Message: <37215579.136D737C@pacbell.net>
Ok, I won't complain about the floor - though I have to admit that it looks
familiar.  ;-]
Very cool indeed - one of those images that leaves you wishing you could
crawl around inside and see what's goin' on. My first thought was
Buckminster; my second thought was Escher; my final thought - Buckminster and
Escher on a lazy Sunday afternoon with a 12 pack. ;-]

Anders Haglund wrote:

> Hi everyone.
>
> Here is a small cool 3D fractal I slamed together. I don't know what it's
> called but I recon it's closely related to the fractal in the "fractal
> cheese" posting.
> Don't complain about the floor! =)
> Anyway, enjoy or what ever...
>
> /Anders
>
>  [Image]


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From: Remco de Korte
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 06:40:48
Message: <37219282.258DBC20@xs4all.nl>
Chris Maryan wrote:
> 
> In 2D, the recursive triangle shape thing is properly called
> Sierpinski's Gasket, alternatively Sierpinski's Triangle. It is closely
> related to Pascal's Triangle, a series of numbers in a triangle pattern
> used for various mathematical things. If you colour every odd number in
> pascals triangle black and all the even ones white, you get this
> pattern. In 2D, there are dozens of unique techniques for getting this
> shape (including fractal trees, it may be possible in 3D using Giles'
> macro although I haven't looked at it).
> 
> For reference, Pascals Triangle:
> 
>                 1
>                1 1
>               1 2 1
>              1 3 3 1
>             1 4 6 4 1
> And so on...
> (And if you can't figure out the pattern, think harder :-)
> The area of your triangle approaches 0, and I can't remember if the
> perimeter is finite or goes to infinity.
> 
For a quick&simple demo look at http://www.xs4all.nl/~remcodek/zip/pastri.zip

Remco

PS Windows9x only!


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From: Ken
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 09:06:52
Message: <3721B365.2633A821@pacbell.net>
bankspad wrote:
> 
> Ok, I won't complain about the floor - though I have to admit that it looks
> familiar.  ;-]
> Very cool indeed - one of those images that leaves you wishing you could
> crawl around inside and see what's goin' on. My first thought was
> Buckminster; my second thought was Escher; my final thought - Buckminster and
> Escher on a lazy Sunday afternoon with a 12 pack. ;-]
> 
> Anders Haglund wrote:

  I had the same feeling that I had seen this of one like it at
some time in the past. I found the image that had been nagging
at me in the first place I looked. The first official Pov-Ray
CD from Walnut Creek. There is a big thumb nail of it below.
I seem to remember another that is constructed form blobs but I
could not easily find it.

-- 
Ken Tyler

mailto://tylereng@pacbell.net


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From: Andrew Cocker
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 10:26:42
Message: <3721c692.0@news.povray.org>
Ken <tyl### [at] pacbellnet> wrote in message news:3721B365.2633A821@pacbell.net...
>   I had the same feeling that I had seen this of one like it at
> some time in the past. I found the image that had been nagging
> at me in the first place I looked. The first official Pov-Ray
> CD from Walnut Creek. There is a big thumb nail of it below.
> I seem to remember another that is constructed form blobs but I
> could not easily find it.
>
> --
> Ken Tyler

You would probably have found it easier to look in the \scenes\macro directory of the
POV
3.1installation. Pyramid.pov and pyramid2.pov create just this shape.

----------------------
Andy
------------------------------------------------------------------------------------------
-
--The Home Of Lunaland--
--visit my POV-Ray gallery--
--listen to my music--
www.acocker.freeserve.co.uk


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From: bankspad
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 10:32:57
Message: <3721B89B.34BE3793@pacbell.net>
I think you might be referring to "pyramid.pov" and "pyramid2.pov" which are
included scenes file with POV under \scenes\macros. They use spheres to demonstrate
the macro used to generate this scene, credit is given to Sven Hilscher originally
and to Chris Young for the POV include scene file.

KB-


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From: TonyB
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 11:09:32
Message: <3721C376.B5213226@panama.phoenix.net>
> I think you are lost in the posts again my friend...

Why do you say that? I know that this DePetrillo character is the one that fooled
us all, so I responded to his message and requested that it and all previous ones
by him be removed. I am not lost. Have a nice day, Spider.


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From: Steve
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 11:19:47
Message: <3721D1A8.F83340D3@ndirect.co.uk>
The nature of a fractal is that it is always the same, it's just
extended, and uses more sameness to produce the image (if that
makes sense).

Steve

Ken wrote:
> 
> bankspad wrote:
> >
> > Ok, I won't complain about the floor - though I have to admit that it looks
> > familiar.  ;-]
> > Very cool indeed - one of those images that leaves you wishing you could
> > crawl around inside and see what's goin' on. My first thought was
> > Buckminster; my second thought was Escher; my final thought - Buckminster and
> > Escher on a lazy Sunday afternoon with a 12 pack. ;-]
> >
> > Anders Haglund wrote:
> 
>   I had the same feeling that I had seen this of one like it at
> some time in the past. I found the image that had been nagging
> at me in the first place I looked. The first official Pov-Ray
> CD from Walnut Creek. There is a big thumb nail of it below.
> I seem to remember another that is constructed form blobs but I
> could not easily find it.
> 
> --
> Ken Tyler
> 
> mailto://tylereng@pacbell.net
> 
>   -----------------------------------------------------------------
>  [Image]


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From: Spider
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 11:22:45
Message: <3721D282.A3A5EF7C@bahnhof.se>
> > I think you are lost in the posts again my friend...
> 
> Why do you say that? I know that this DePetrillo character is the one that fooled
> us all, so I responded to his message and requested that it and all previous ones
> by him be removed. I am not lost. Have a nice day, Spider.
*nods*
ok.



And a nice day to you as well, TonyB


-- 
//Spider
        [ spi### [at] bahnhofse ]-[ http://www.bahnhof.se/~spider/ ]
What I can do and what I could do, I just don't know anymore
                "Marian"
        By: "Sisters Of Mercy"


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From: Lewis
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 15:38:10
Message: <37220F8A.DF9676CA@netvision.net.il>
Let's all be friends now..


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From: Margus Ramst
Subject: Re: Pyramid fractal sort of....
Date: 24 Apr 1999 17:27:54
Message: <3722294a.0@news.povray.org>
I would say this is not he same fractal. This one is easy, having spheres
branch away recursively. The original... The structure is clearly different.
I'm not even sure how to go about creating it.

Margus

Ken wrote in message <3721B365.2633A821@pacbell.net>...
>
>  I had the same feeling that I had seen this of one like it at
>some time in the past. I found the image that had been nagging
>at me in the first place I looked. The first official Pov-Ray
>CD from Walnut Creek. There is a big thumb nail of it below.
>I seem to remember another that is constructed form blobs but I
>could not easily find it.
>
>--
>Ken Tyler
>
>mailto://tylereng@pacbell.net


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From: Rikard Bosnjakovic
Subject: Re: Pyramid fractal sort of....
Date: 29 Apr 1999 01:15:42
Message: <3727DCE2.3FFEBD22@hack.org>
Charles Krause wrote:
> 
> >
> >Here is a small cool 3D fractal I slamed together. I don't know what it's
> >called but I recon it's closely related to the fractal in the "fractal
> >cheese" posting.
> 
> >Don't complain about the floor! =)
> 
> I don't know what it's called, but it's got an official name in mathamatics.

It's the famous Sierpinsky-triangle.


-- 
// Rikard Bosnjakovic - http://a214.ryd.student.liu.se/ - ICQ: 1158217

----------------------------------------------------------------------
     Before you criticize someone, walk a mile in his shoes. That
     way, if he gets angry, he'll be a mile away - and barefoot.
----------------------------------------------------------------------


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From: Anders Haglund
Subject: Re: Pyramid fractal sort of.... (very of topic)
Date: 29 Apr 1999 21:02:15
Message: <3728f307.0@news.povray.org>
Rikard Bosnjakovic wrote:
>> I don't know what it's called, but it's got an official name in
mathamatics.
>
>It's the famous Sierpinsky-triangle.
>
>--
>// Rikard Bosnjakovic - http://a214.ryd.student.liu.se/ - ICQ: 1158217

Hey! I (almost) know you! Your the guy that wasted a few of your fingers...
You had my father as programming teatcher... =)
Think I've seen you on fidonet too... (a long time ago)

/Anders Haglund (son of Arne Haglund)


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