Welcome to Fractal Forums

Fractal Math, Chaos Theory & Research => Mandelbrot & Julia Set => Topic started by: FractalMonster on October 10, 2006, 04:49:17 PM




Title: Chaotic series of fractal articles
Post by: FractalMonster on October 10, 2006, 04:49:17 PM
Hi Folks ,

I am very glad to be here in this new forum for
fractals:) Thank you Jason and the other administrators
for this:) I am brand-new here, so pardon if this
contribution does not fall under the correct subject.
I commence my contribution with an appointment
on a series of fractal articles. Thus:

At the end of 2001 I begun to write this series
of fractal articles.They were under ways posted
to some fractal mail groups. The images were
attached on a normal way. They achieved a great
response, and after a while, the moderator for
one of the groups, Joseph Trotsky, I am very
grateful to him, started to upload them on his
site FAME on a very nice way. Today 22 of the
more than 30 articles are there. The last article
was released at the end of 2002. Now however I've
uploaded all of them on a site of my own:

http://klippan.seths.se/fractals/articles/index.html

Most of the illustrations are produced with special
modules, written by my very dear friend Stig Pettersson,
for Ultra Fractal. The parameter files for these images
can be downloaded from the index page. From the index
page can also be downloaded the new formula folder, sp3,
containing Cubic Parameterspace3, Quartic Parameterspace3,
and Pentic Parameterspace3. All parameter files for the
illustrations are converted to these new modules.

--------------------------
Regards,
Ingvar Kullberg
www.come.to/kullberg


Title: Re: Chaotic series of fractal articles
Post by: GFWorld on October 12, 2006, 09:14:33 PM
I had a look at some of your websites today again , I was surprised when I arrived at Fractal Monsters site , did not check it up before :-))) -  Welcome Ingvar :)

A lot of my Ultra Fractals are coined from the Cubics - here is one of them :-)))

Ultra Fractal  *Mini * from Cubic Parameter Space 2

(http://i10.tinypic.com/48d9sew.jpg)
Margit


Title: Re: Chaotic series of fractal articles
Post by: FractalMonster on October 12, 2006, 09:59:40 PM
I had a look at some of your websites today again , I was surprised when I arrived at Fractal Monsters site , did not check it up before :-))) -  Welcome Ingvar :)

A lot of my Ultra Fractals are coined from the Cubics - here is one of them :-)))

Ultra Fractal  *Mini * from Cubic Parameter Space 2

(http://i10.tinypic.com/48d9sew.jpg)
Margit

Thank you Margit,

Remember you to be an expert on deep zooms in cubic parameter space.
And this one has a simple  beautiful gradient:) Recommend you (and everyone)
from now to use Cubic Parameterspace3 in the sp3 folder of Stig. All formulas
of Stig and me can be downloaded from:

http://klippan.seths.se/fractals/articles/modules.zip

By the way, the same systems of, what I call, "Julia-like barriers" can be obtained
from the ordinary Mandelbrot set. However the secondary decorations in that
case will not be made up of enclosed regions (despite of the minibrots of course).

Regarding "Julia-like barriers", see article 12 in my chaotic series:

http://klippan.seths.se/fractals/articles/

Regards,
Ingvar


Title: Re: Chaotic series of fractal articles
Post by: GFWorld on October 13, 2006, 06:05:36 PM
Thank you Ingvar :-)))

I made a download now , integrated modules & parameters in UF - it works ! :)

Kind regards
Margit


Title: Re: Chaotic series of fractal articles
Post by: alan2here on October 15, 2006, 02:15:36 PM
Welcome

I really like you'r formuli for UF
and you'r articles are also intresting.


Title: Re: Chaotic series of fractal articles
Post by: FractalMonster on October 15, 2006, 11:42:38 PM
Welcome

I really like you'r formuli for UF
and you'r articles are also intresting.

About 90% of the credits for my formulas should go to
my dear friend Stig Pettersson,

http://www.seaside.se/~sea0336b/index.html

Glad you like the articles:) Not all of them are
very much mathematical.


Title: Chaotic series of fractal articles
Post by: Jules Ruis on October 18, 2006, 11:32:02 PM
Dear Ingvar,

I want to make you my compliments for your 32 articles.

Jules Ruis.


Title: Re: Chaotic series of fractal articles
Post by: FractalMonster on October 19, 2006, 06:18:37 AM
Dear Ingvar,

I want to make you my compliments for your 32 articles.

Jules Ruis.

So you have read everyone:) I think you are the right one
to have some critics. Thank you for taking time to read
and appreciate them:)

Regards,
Ingvar