POV-Ray : Newsgroups : povray.binaries.images : Koch Curve 3d (30k jpg) Server Time
15 Aug 2024 06:11:10 EDT (-0400)
  Koch Curve 3d (30k jpg) (Message 1 to 10 of 10)  
From: Samuel Benge
Subject: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 00:14:38
Message: <3D34EF18.9060100@caltel.com>
Once when drawing the Koch Curve by hand(I didn't have access to a 
computer at the time) I noticed what appeared to be a 3d structure to 
what is usually a 2d pattern.

The first part of this image is the basic Koch Curve in two dimensions. 
It is derived from a recursive macro which translates paired 
tetrahedrons to each of the four corners of the original pair. The 
actual 3d object is shown in the second image.

Questions, comments, etc. are always welcome.

-- 
Samuel Benge

sbe### [at] caltelcom


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Attachments:
Download 'koch_curve.jpg' (30 KB)

Preview of image 'koch_curve.jpg'
koch_curve.jpg


 

From: Kevin Loney
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 00:50:09
Message: <3d34f781$1@news.povray.org>
very nice, I like

--
Kevin
http://www.geocities.com/qsquared_1999/
#macro _(r)#if(r<12)#local
i=asc(substr("oqshilacefg",r,1))-97;disc{<mod(i,7)-3,div(i,7)-1,6>,z,.4pigme
nt{rgb 10}}_(r+1)#end#end _(0)//KL


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From: Bonsai
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 02:39:03
Message: <3D3510CA.1000303@b0n541.net>
> Questions, comments, etc. are always welcome.

It looks great, but (and there is always a but ;-) ) it seems that there 
are some "spikes" missing. I mean there are some flat areas, that should 
also have spikes.

Just my 2 eurocents...

Bonsai

-- 
<--------------------------->
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   | _ )  \  \( )  _) _ )( )
   | _ \() |\ \ |\ \/ _ \| |
   |___/__/_)\__)___)/ \_)_)

        www.b0n541.net
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From: Samuel Benge
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 02:48:54
Message: <3D351350.1030605@caltel.com>
It's not actually a Koch Curve in the 3d sense. I'm trying to formulate 
an idea on that still...

Bonsai wrote:

>> Questions, comments, etc. are always welcome.
> 
> 
> It looks great, but (and there is always a but ;-) ) it seems that there 
> are some "spikes" missing. I mean there are some flat areas, that should 
> also have spikes.
> 
> Just my 2 eurocents...
> 
> Bonsai
> 


-- 
Samuel Benge

sbe### [at] caltelcom


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From: Christoph Hormann
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 04:16:00
Message: <3D3527C0.BBD4AD83@gmx.de>
Samuel Benge wrote:
> 
> Once when drawing the Koch Curve by hand(I didn't have access to a
> computer at the time) I noticed what appeared to be a 3d structure to
> what is usually a 2d pattern.
> 
> The first part of this image is the basic Koch Curve in two dimensions.
> It is derived from a recursive macro which translates paired
> tetrahedrons to each of the four corners of the original pair. The
> actual 3d object is shown in the second image.
> 
> Questions, comments, etc. are always welcome.

Nice.  How about a view from the side?

Christoph

-- 
POV-Ray tutorials, IsoWood include,                 
TransSkin and more: http://www.tu-bs.de/~y0013390/  
Last updated 15 Jul. 2002 _____./\/^>_*_<^\/\.______


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From: Jan Walzer
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 04:58:30
Message: <3d3531b6@news.povray.org>
very nice ...

maybe you're interesting in this, too:

http://news.povray.org/povray.binaries.animations/20500/
http://news.povray.org/povray.binaries.animations/20446/


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From: Tony[B]
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 08:37:07
Message: <3d3564f3@news.povray.org>
Mmm.... prickly... :)


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From: Samuel Benge
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 13:24:34
Message: <3D35A84D.7020905@caltel.com>
I'll look at them as soon as I can get Windows 98 to play a #$%@! avi file.

Jan Walzer wrote:

> very nice ...
> 
> maybe you're interesting in this, too:
> 
> http://news.povray.org/povray.binaries.animations/20500/
> http://news.povray.org/povray.binaries.animations/20446/
> 
> 
> 


-- 
Samuel Benge

sbe### [at] caltelcom


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From: Samuel Benge
Subject: Re: Koch Curve 3d (30k jpg)
Date: 17 Jul 2002 13:53:03
Message: <3D35AEF9.3030307@caltel.com>
Okay, I finally got a codec bundle that actually wanted to install. Nice 
animations, although they both seem like nearly the same thing. New 
iterations seem to be added too late around the edges of the object, too.

When I tried last night to make an *actual* Koch3d Curve, I ended up 
with a box shape with a regular (boring) cross-hatched pattern all over 
it. It went away and turned into something more interesting if I scaled 
each iteration by less than 0.5.

My 3d object wasn't meant to be a literal translation of the Koch Curve, 
it was merely meant to build up the 2d Koch Curve. I should have used a 
different subject title, I suppose :). All my attempts to make the real 
3d Koch Curve form a 2d one have so far failed.

Jan Walzer wrote:

> very nice ...
> 
> maybe you're interesting in this, too:
> 
> http://news.povray.org/povray.binaries.animations/20500/
> http://news.povray.org/povray.binaries.animations/20446/
> 
> 
> 


-- 
Samuel Benge

sbe### [at] caltelcom


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From: Simon de Vet
Subject: Re: Koch Curve 3d (30k jpg)
Date: 18 Jul 2002 07:46:00
Message: <3D36AB37.5060608@istar.ca>
Samuel Benge wrote:

> Questions, comments, etc. are always welcome.

This would make a lovely christmas tree ornament.

-- Simon


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