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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
Post a reply to this message
Attachments:
Download 'pyramid.jpg' (99 KB)
Preview of image 'pyramid.jpg'

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>
>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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its called a Phascal triangle (phascal's triangle or pascal's triangle)
Thats what you were looking for.
NicK D
Charles Krause <osi### [at] cheerful com> 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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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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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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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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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] hotmail com> 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
>
>
>
>
Post a reply to this message
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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] bahnhof se ]-[ 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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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] geocities com
***
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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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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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] bahnhof se ]-[ 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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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]
Post a reply to this message
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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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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
Post a reply to this message
Attachments:
Download 'bigbal.jpg' (25 KB)
Preview of image 'bigbal.jpg'

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Ken <tyl### [at] pacbell net> 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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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-
Post a reply to this message
Attachments:
Download 'pyramid2.jpg' (22 KB)
Preview of image 'pyramid2.jpg'

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> 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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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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> > 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] bahnhof se ]-[ 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"
Post a reply to this message
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Let's all be friends now..
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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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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>
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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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