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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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pyramid.jpg


 

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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