Re: Mappings that create a Sierpinski Gasket with a fractal surface


Roger Bagula wrote:
leeerussell@xxxxxxxxx wrote:

Hello everyone

I have developed a set of mappings that create a Sierpinski Gasket with
a Von Koch Curve on one of its surfaces as part of my PhD thesis. I
was just wondering if this methodology has a name, in case I am asked
about it? Any help would be much appreciated.

Thanks

Lee Russell




Lee Russell
As far as I know this sounds like a new construction.
We'll call it the Russell Roughness?
Do you have a Moran dimension calculated for it?
I'm happy to see young people doing new work!
Roger Bagula

Hello again, sorry for the very poor description of what I had achieved
the first time, I will try and add some more now.

I have a set of 11 mappings. 9 of these create a Sierpinski type
fractal with the "hole" in the middle of 8 other triangles. The other
two create a Koch surface on one side, this can be altered to two or
three sides with more mappings. The interesting thing about these
mappings is that the surface also contains the Sierpinski fractal. In
other words, the entire area created by the fractal has a fractal
interior, as well as a fractal perimeter on as many sides are required.
I hope this gives a bit more information.

Lee Russell

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