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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'
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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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> 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
--
<--------------------------->
___ __ __ _ ___ ___ _
| _ ) \ \( ) _) _ )( )
| _ \() |\ \ |\ \/ _ \| |
|___/__/_)\__)___)/ \_)_)
www.b0n541.net
<--------------------------->
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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
Post a reply to this message
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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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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/
Post a reply to this message
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Mmm.... prickly... :)
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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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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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Samuel Benge wrote:
> Questions, comments, etc. are always welcome.
This would make a lovely christmas tree ornament.
-- Simon
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