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Re: generalized 2d IFS for D_n Cartan group using MathWorld

• To: mathgroup at smc.vnet.net
• Subject: [mg80474] Re: generalized 2d IFS for D_n Cartan group using MathWorld
• From: Roger Bagula <rlbagula at sbcglobal.net>
• Date: Thu, 23 Aug 2007 01:09:06 -0400 (EDT)
• References: <200708170551.BAA00273@smc.vnet.net> <fagtng$8v1$1@smc.vnet.net>

Murray Eisenberg wrote:

>Where on MathGroup do you find package MathWorld`Groups`?
>
>Roger Bagula wrote:
> 
>
>>This affine IFS uses the DihedralGroupMatrices[]
>>to set up a general IFS with  Moran similarity dimension 2
>>based on D_n Cartan groups( same as SO(2*n) special orthogonal
>>groups): n0 is the group level.
>>These just get two complex too fast after n0=3!
>>Too much overlap results.
>>Clear[f, dlst, pt, cr, ptlst, M, r, p, rotate]
>>n0 = 3;
>>dlst = Table[ Random[Integer, {1, 2*n0}], {n, 25000}];
>><< MathWorld`Groups`
>>M = DihedralGroupMatrices[n0];
>>   
>>
>.....
>
> 
>
http://mathworld.wolfram.com/packages/MathWorldPackages.zip
Murray Eisenberg
Actually, it is a link in the download:
http://mathworld.wolfram.com/DihedralGroupD3.html
http://mathworld.wolfram.com/notebooks/GroupTheory/DihedralGroupD3.nb
Dihedral Group \!\(TraditionalForm\`D\_3\)
Author
Eric W. Weisstein
February 23, 2004
This notebook downloaded from
http://mathworld.wolfram.com/notebooks/GroupTheory/DihedralGroupD3.nb.
For more information, see Eric's MathWorld entry
http://mathworld.wolfram.com/DihedralGroupD3.html.
For a list of Eric's math packages that may be needed to evaluate this
notebook, see http://mathworld.wolfram.com/packages/.  An archive of
these packages may be downloaded from
http://mathworld.wolfram.com/packages/MathWorldPackages.zip, as well as
from the Mathematica Information Center's MathSource item 4775.  A list
of Eric's utility packages that may be needed to evaluate this notebook
may be downloaded from MathSource item 5087.
=A92005 Wolfram Research, Inc. except for portions noted otherwise
Initialization
<<MathWorld`Groups`

Roger Bagula

• References:
  • generalized 2d IFS for D_n Cartan group using MathWorld DihedralGroupMatrices
    • From: Roger Bagula <rlbagula@sbcglobal.net>