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I was looking at the Wikipedia article
http://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle
and was wondering if it were possible to create the three-dimensional version of
the fractal out of solids with more faces than the tetrahedron and pyramid ones
already mentioned in the article.
-Mike
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SharkD nous illumina en ce 2008-11-26 05:58 -->
> I was looking at the Wikipedia article
>
> http://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle
>
> and was wondering if it were possible to create the three-dimensional version of
> the fractal out of solids with more faces than the tetrahedron and pyramid ones
> already mentioned in the article.
>
> -Mike
>
>
You can use cubes if you like, or spheres, or any other solid you may want, but
the basic shape is triangular.
For the equivalent based on the cube, take a look at the "Menger sponge".
It would be more work, but you can conceivably do the same based on any platonic
solid, and some semi regular solids.
--
Alain
-------------------------------------------------
"Having a smoking area in a restaurant is like having a peeing area in a pool."
--Thomas Pfeffer, American Heart Association
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Alain wrote:
> SharkD nous illumina en ce 2008-11-26 05:58 -->
>> I was looking at the Wikipedia article
>>
>> http://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle
>>
>> and was wondering if it were possible to create the three-dimensional
>> version of the fractal out of solids with more faces than the tetrahedron
>> and pyramid ones already mentioned in the article.
>
> You can use cubes if you like, or spheres, or any other solid you may
> want, but the basic shape is triangular.
There is one using spheres in POV-Ray sample scenes!
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Nicolas Alvarez <nic### [at] gmail com> wrote:
> There is one using spheres in POV-Ray sample scenes!
Which file is it? There's a bunch of them!
-Mike
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Alain <ele### [at] netscapenet> wrote:
> For the equivalent based on the cube, take a look at the "Menger sponge".
> It would be more work, but you can conceivably do the same based on any platonic
> solid, and some semi regular solids.
>
> --
> Alain
I would like to create a script that is generalizable to any platonic solid as
part of my FractalObjects set of macros (see the POV-Ray Object Collection).
-Mike
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SharkD wrote:
> Nicolas Alvarez <nic### [at] gmailcom> wrote:
>> There is one using spheres in POV-Ray sample scenes!
>
> Which file is it? There's a bunch of them!
scenes/language/macros/pyramid.pov
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