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MathGroup Archive 1998

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Re: Question from venezuela

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14298] Re: Question from venezuela
  • From: "Mario R. Riotorto" <riotorto at redestb.es>
  • Date: Tue, 13 Oct 1998 01:21:15 -0400
  • Organization: ES
  • References: <6vf4sc$dg3@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hernan Andres Zu~niga Medina escribi'o:

>Hello my name is Hernan Zuniga, I am tesista of predegree in the
>University of The Andes - Merida Venezuela. At the moment I am
>developing my thesis in Growth of Crystals with the Mathematica program
>by using CELLULAR AUTOMATA for it; but I have a problem with the
>handling of the vicinities. It wanted to ask if it can help thanks me
>for its attention.
>
>The question is the following one: when it is used the vicinity of Moore
>and is wanted to evaluate the site depending on the nearest neighbors,
>I can be changed the site but I need to change some of the nearest
>neighbors at the same time.


Como te va Hernan?

When I simulate CAs with Mathematica, I create previously a function
like that:

vecindad[n_]:=
  Table[{j,	          (*center*)
	   Mod[j,n]+1,    (*east*)
         Mod[j-2+n,n]+1}, (*west*)
        {j,n}]

Now, if I want to calculate the neighborhood structure for a Linear
Cellular Automaton, with radius=1 and just 5 cells, then

vecindad[5]

will give:

{{1,2,5},{2,3,1},{3,4,2},{4,5,3},{5,1,4}}

Obviously, you can extend the method to more complex vecinities.

With this choice, I avoid to re-calculate the vecinity of each cell at
each step of time.

Un saludo desde el otro lado del charco... Mario.

-- 
----------------------------------------- Mario Rodriguez-Riotorto
mailto:riotorto at redestb.es
http://personal.redestb.es/riotorto


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