Re: 3D Pascal's Triangle (Cone?)
- To: mathgroup at smc.vnet.net
- Subject: [mg49514] Re: 3D Pascal's Triangle (Cone?)
- From: "Roger L. Bagula" <rlbtftn at netscape.net>
- Date: Thu, 22 Jul 2004 02:46:12 -0400 (EDT)
- References: <200407211814.i6LIELN23030@proapp.mathforum.org>
- Reply-to: tftn at earthlink.net
- Sender: owner-wri-mathgroup at wolfram.com
There is and old Visualization in Mathematica that
gives a modulo 2 version of a Pascal's triangle.
It is a right angle version of a tetrahedral 3d Sierpiski triangle.
Here it is: ( copyright Mathematica):
g=Flatten[Table[If
Mod[Multinomial[x,y,x],2]==1,Cuboid[1.2*{x,y,-z}}],{}],{x,0,15},{y.0,15},{z,0,15}]
Show[Graphics3D[g]]
phil wrote:
> Is there a three dimensional version of Pascal's
> triangle? If so, I suppose it would be a cone (?).
> Applications?
>
> phil
>
--
Respectfully, Roger L. Bagula
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