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MathGroup Archive 2004

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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
tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 
619-5610814 :
URL :  http://home.earthlink.net/~tftn
URL :  http://victorian.fortunecity.com/carmelita/435/


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