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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
>
>
>
>
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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] 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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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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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] 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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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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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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