[Fwd: Fractals Sierpinksi Triangle]

[Roger Bagula]

-------- Original Message --------
Subject: Fractals Sierpinksi Triangle
Date: Tue, 5 Jul 2005 21:46:39 +0100
From: Brendan O'Sullivan <***@esatclear.ie>
Organization: Esat Net Customer
Newsgroups: sci.math

I've encountered a problem with this question.
When I looked at s(2) of the Sierpinski triangle, I came out with the idea
that the fractal dimension is ln(9)/ln(4). The scaling factor being 1/4.
When it came to forming the IFS, I had 9 mappings.

While my friend looked at the same fractal and came out with the fractal
dimension as being ln(3)/ln(2). The scaling factor being 1/2 and his IFS
having 3 mappings.

Which of these is actually correct, does it vary with which iteration that
you look at or should one always revert back to the earliest iteration and
the scaling factor remains constant.

Brendan

[Clément Pillias]

Post by Roger Bagula
I've encountered a problem with this question.
[...]

ln(9)/ln(4) = ln(3^2)/ln(2^2) = (2ln(3))/(2ln(2)) = ln(3)/ln(2)
It's the same thing, because ln(a^n)=n*ln(a).

Clément.

[Roger Bagula]

Post by Clément Pillias

Post by Roger Bagula
I've encountered a problem with this question.
[...]

ln(9)/ln(4) = ln(3^2)/ln(2^2) = (2ln(3))/(2ln(2)) = ln(3)/ln(2)
It's the same thing, because ln(a^n)=n*ln(a).
Clément.

No argument.
My scale 4 Siepinski ( 3rd type) set has the same Moran similarity
dimension as well with 9 points. It is just that they are different
fractals!
Roger

[legalize+ (Richard)]

[Please do not mail me a copy of your followup]

Post by Roger Bagula
My scale 4 Siepinski ( 3rd type) set has the same Moran similarity
dimension as well with 9 points. It is just that they are different
fractals!

So? Just because two fractals have the same dimension (no matter what
dimension you use), doesn't mean that they are the same pattern or
image.

[Roger Bagula]

You have to have trouble reading right?
I said that:
"It is just that they are different
fractals!"
Or you don't know what an IFS fractal is?
Try googling IFS fractal...

Post by legalize+ (Richard)
[Please do not mail me a copy of your followup]

Post by Roger Bagula
My scale 4 Siepinski ( 3rd type) set has the same Moran similarity
dimension as well with 9 points. It is just that they are different
fractals!

So? Just because two fractals have the same dimension (no matter what
dimension you use), doesn't mean that they are the same pattern or
image.

[Sean Dean]

Roger, please don't include Richard the troll's comments in your replies to
him......
I have gone SO LONG with him in my plonk file, that it pains me to see
another word......

: )

Happy Fractalling!!!!!!!!

sd

http://www.seandean.com

Post by Roger Bagula
You have to have trouble reading right?
"It is just that they are different
fractals!"
Or you don't know what an IFS fractal is?
Try googling IFS fractal...

******* SNIP - DELETE - CUT - OBLITERATE *******

[legalize+ (Richard)]

[Please do not mail me a copy of your followup]

Post by Sean Dean
Roger, please don't include Richard the troll's comments in your replies to
him......

So sad that you feel the need to drop in baseless ad-hominem attacks in a
newsgroup for someone you're supposedly ignoring.