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Programming > Fractals > cuboid Menger s...
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cuboid Menger sponges : D_n : n=3,4,6,8

by Roger Bagula <rlbagula@[EMAIL PROTECTED] > Aug 10, 2007 at 11:49 AM

Picture of the level three outputs:
http://profile.imeem.com/GUmj0c/photo/yLSNmE-k/boadA-WWGt/
Once I figured out the D8 version,
the others were plug in and turn the crank...
I have to do the D5 yet, but I don't think it will be hard.
There aren't "regular" polygons like the group actually requires
and the IFS of these point arrays will be different than these "stacking"
cuboid fractals,
but the generalization of the symmetry seems to be working well.
The finding of the "diagonal" Menger cube was just a side result.
These are actually four new sponges that were never done before as far 
as I know.
I did the D3 and so did Paul Bourke but as an equalateral priism.
The Menger Cube is done usually without these saw tooth edges.
I did an D6 IFS that didn't turn out at all well, but it wasn't cuboid.
The Octagon D8 is entirely new ( never done before).



-- 
Respectfully, Roger L. Bagula
 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814
:http://www.geocities.com/rlbagulatftn/Index.html
alternative email: rlbagula@[EMAIL PROTECTED]





 4 Posts in Topic:
D8 octagon as cuboid 3D fractal of Menger type
Roger Bagula <rlbagula  2007-08-10 17:00:28 
cuboid Menger sponges : D_n : n=3,4,6,8
Roger Bagula <rlbagula  2007-08-10 11:49:28 
Re: cuboid Menger sponges : D_n : n=3,4,6,8
Roger Bagula <rlbagula  2007-08-16 14:23:09 
D4v twisted Menger cube by Roger Bagula
Roger Bagula <rlbagula  2007-08-20 14:06:50 

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