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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