POV-Ray : Newsgroups : povray.binaries.images : Cantor-Koch Server Time
10 Aug 2024 15:19:31 EDT (-0400)
  Cantor-Koch (Message 1 to 8 of 8)  
From: Ben T  Scheele
Subject: Cantor-Koch
Date: 8 Jul 2004 02:41:56
Message: <40ececb4@news.povray.org>
This is a favorite render of mine that I did last year.  It's a big ol'
recursive pseudofractal I created that is a combination of Koch's
snowflake and Cantor's dust, and I thought you guys might like to see
it.  If you're curious, I've got more info on it, a wallpaper sized
image, plus the source code on my webpage, in the "recursive" gallery of
the raytracing stills section.  Enjoy!

------------------------------
Ben Scheele
Silmarillion: Ben's World
http://www21.brinkster.com/silmarillion/


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From: Tor Olav Kristensen
Subject: Re: Cantor-Koch
Date: 8 Jul 2004 07:34:09
Message: <40ed3131$1@news.povray.org>
Ben T. Scheele wrote:
> ...and I thought you guys might like to see it.
...

You were right !

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Mike Raiford
Subject: Re: Cantor-Koch
Date: 8 Jul 2004 08:16:12
Message: <40ed3b0c@news.povray.org>
Ben T. Scheele wrote:
> This is a favorite render of mine that I did last year.  It's a big ol'
> recursive pseudofractal I created that is a combination of Koch's
> snowflake and Cantor's dust, and I thought you guys might like to see
> it.  If you're curious, I've got more info on it, a wallpaper sized
> image, plus the source code on my webpage, in the "recursive" gallery of
> the raytracing stills section.  Enjoy!

Very pretty.

Was the star of david figure in the middle intentional or just a side 
effect of the cantor dust?


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From: Roberto Amorim
Subject: Re: Cantor-Koch
Date: 8 Jul 2004 10:31:07
Message: <40ed5aab@news.povray.org>
Breathtaking. Congrats.


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From: Ross
Subject: Re: Cantor-Koch
Date: 8 Jul 2004 10:57:35
Message: <40ed60df$1@news.povray.org>
"Ben T. Scheele" <sch### [at] tcumnedu> wrote in message
news:40ececb4@news.povray.org...
> This is a favorite render of mine that I did last year.  It's a big ol'
> recursive pseudofractal I created that is a combination of Koch's
> snowflake and Cantor's dust, and I thought you guys might like to see
> it.  If you're curious, I've got more info on it, a wallpaper sized
> image, plus the source code on my webpage, in the "recursive" gallery of
> the raytracing stills section.  Enjoy!
>
> ------------------------------
> Ben Scheele
> Silmarillion: Ben's World
> http://www21.brinkster.com/silmarillion/
>
>

that's freakin cool.


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From: Ben T  Scheele
Subject: Re: Cantor-Koch
Date: 8 Jul 2004 17:33:49
Message: <40edbdbd$1@news.povray.org>
Tor:
    I'm glad you liked it.


Mike:
    Actually, it was unintentional.  I explained that on my webpage,
which I will copy here:

       This image is a kind of crystalline pseudo-fractal which combines
the forms of both Cantor's Dust and Koch's Snowflake.  Using my
adaptation of Tsutomu Higo's recursive pipes [algorithm], I explored
many different configurations through sets of animations.  I varied the
amount and order of the rotations along the three coordinate axes, and
found many interesting patterns.  It was very difficult to get one that
showed Cantor's dust well, but when I finally got it I was thrilled to
see that another form, that of a woven "Star of David" had appeared at
the center.
        I coded it so that the color would change along with the level
of recursion, which created the white frosted look around the edge.  The
rich colors in the interior are due more to the differently colored
light sources surrounding it, and the interreflections allowed by a max
trace level of 7.


Roberto, Ross:
    Thanks you.


------------------------------
Ben Scheele
Silmarillion: Ben's World
http://www21.brinkster.com/silmarillion/


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From: Andrew C on Mozilla
Subject: Re: Cantor-Koch
Date: 9 Jul 2004 05:26:01
Message: <40ee64a9@news.povray.org>
Hey, I like this.

Not just because it's a fractal; it's pretty to look at. It has some 
nice textures to it. Very pleasing to the eye.

Nice one!

Andrew @ home.


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From: Ben T  Scheele
Subject: Re: Cantor-Koch
Date: 9 Jul 2004 12:25:43
Message: <40eec707@news.povray.org>
Hey, thanks Andrew.
    Yeah, I guess I do most enjoy fractals that show detail on many
different levels.  This one, for example, necessitated showing all of
the levels of recursion up to the highest in order to get the Cantor's
dust effect.  It would've been boring with just one.  Many recursive
fractals, such as a menger sponge or sierpinski gasket can only work
that way, because of overlap...I wonder what other ones could be
modified in the way I found?  Maybe those two could be done with some
transparency?  This one does have transmission, and a glassy texture,
yet it has the IOR of water.  I think that's what causes the cool color
blending.

------------------------------
Ben Scheele
Silmarillion: Ben's World
http://www21.brinkster.com/silmarillion/


"Andrew C on Mozilla" <voi### [at] devnull> wrote in message
news:40ee64a9@news.povray.org...
> Hey, I like this.
>
> Not just because it's a fractal; it's pretty to look at. It has some
> nice textures to it. Very pleasing to the eye.
>
> Nice one!
>
> Andrew @ home.


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