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From: blessing
Subject: Re: norepeatable isomaze
Date: 24 Oct 2001 08:21:23
Message: <3bd6b243@news.povray.org>
ooooooooo!
very interesting.

Gary
now my eyes hurt.


news:eh5dttoirrhgo8qfs79qbnah2hue043lhl@4ax.com...
> Here are images I've designed with POV 3.5beta.
> Maze3 is box with pigment but maze1 and maze2 are isosurfaces (no CSG
> - one contignous object). They base on the same function. You can fast
> swap them on screen this images to watch the same maze shape.
>
> What do you think about ? What should I do with this ?
>
> ABX
>


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From: Tony[B]
Subject: Re: norepeatable isomaze
Date: 24 Oct 2001 12:04:47
Message: <3bd6e69f@news.povray.org>
Cool... brain hurt...


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From: Bryan Valencia
Subject: Re: norepeatable isomaze
Date: 24 Oct 2001 14:49:39
Message: <3BD70D95.AEAC8A95@209software.com>
The first maze program I read/wrote was just a random continuous printout
 of "/" and "\" characters.
they look best in a fixed pitch...  No guarantee it's solvable though.

like this:

\\/\\/\\\\\\\/\\/\/\///\\\\\/\\\/\//\//\\\/\/\/////\/////\/\
\/\/////\\////\\/////\\/\/\\//\\\\/\\\///\\\\//\/\/\\//\\\\\
/\/\\/\\///\\\////\////\\\\\//\////\//\/\\/\\/\\\///\/\\//\\
/\\\\//\/\\/\\//\///\\\\/////\/\\//\/\\\\\\\\\/\///\\///\///
\\//\\////\/\\/\/\\\/\///\\/\\\/\\\/\\/\\\\/\////\\//\\\\\\\
///\/\\\\/\//\\/\\\\//\\//\\////////////\\\\/\//\//\/\\//\//
/\/\/\/////\\/\\\//\//\\/\///\\\//\\/////\\//\\//\\\//\//\\\
///\\/\\\\\//\\\//\\/\\\//\\\\/\///\//\\\//\/\\/\///\/\/\\\/
/\\\\\///\\/\\\\//\/\///\///\//\\////\/\\\\/////\\\\/\\\///\
\\///\\//////\\/\/\/\\\/\///\/\/\\\\/\\\\/\/\/\\/\/\/\//\/\/
\\\/\//\\\\\\\\\//\///\\//\//\/\\//\///\/\\\//\\\\/\//\///\/
\/////////\\/\//\///\\\/\////\\\//\///\\\/\\\\\\\\\\\/\\/\\\
\/\\//\/\\\///\/\\\//\\/\\///\///\///\\///\\\/\\///\\\/\\\\/
\/\/\\//\/\//\\/\/////\//\\\\\\/\\/\\\\/\\\/\\///\///\\\/\\\
\//\\/\///\/\/\\//\\//\\\\//\//\//\////\\\///\\/\\\/\/\/\///
/\\\\///\/\//\\/\//\\/\\/\//\\//\\/\///\\\/\\\/\/////\//\\\\
\///\//\\/\//\/\//\\/\//\\///\\///\\//\\//\\/\\///\\/\/\\/\/
\\\\\/\///\/\/\/\\//\\\////\\\/\//////\\\\\/\\\/\///////\\\\




> Here are images I've designed with POV 3.5beta.
> Maze3 is box with pigment but maze1 and maze2 are isosurfaces (no CSG
> - one contignous object). They base on the same function. You can fast
> swap them on screen this images to watch the same maze shape.
>
> What do you think about ? What should I do with this ?
>
> ABX
>
>                                                   ---------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
-------------------------------------------------------------------------
--
>                 Name: maze1.jpg
>    maze1.jpg    Type: JPEG Image (image/jpeg)
>             Encoding: base64
>
>                 Name: maze2.jpg
>    maze2.jpg    Type: JPEG Image (image/jpeg)
>             Encoding: base64
>
>                 Name: maze3.jpg
>    maze3.jpg    Type: JPEG Image (image/jpeg)
>             Encoding: base64


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From: F Audet
Subject: Re: norepeatable isomaze
Date: 24 Oct 2001 20:52:09
Message: <3BD76157.D82D93E1@sympatico.ca>


> The first maze program I read/wrote was just a random continuous printout of "/" and
"\" characters.
> they look best in a fixed pitch...  No guarantee it's solvable though.
>
>

  Could I get some explanations from here,  about mazes...
I heard about it a couple of times,  but cannot figure out what
does it exactly means.

Alex Pilot


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From: David Cook
Subject: Re: norepeatable isomaze
Date: 26 Oct 2001 18:37:59
Message: <3bd9e5c7@news.povray.org>

news:eh5dttoirrhgo8qfs79qbnah2hue043lhl@4ax.com...
> Here are images I've designed with POV 3.5beta.
> Maze3 is box with pigment but maze1 and maze2 are isosurfaces (no CSG
> - one contignous object). They base on the same function. You can fast
> swap them on screen this images to watch the same maze shape.
>
> What do you think about ? What should I do with this ?
>
> ABX

This reminds me of a post I made quite a while back. I seemed to recall this
type of curve was called a "Dragon" curve, hence the title of the image. It
turned out this is not what it's called, but I can't remember what the real
name is now. Anyone out there remember what this curve is called?

The difference I see between your curves and mine are that mine don't have
crossovers. I hope there's enough detail on this to recognise the technique.
I rendereded it for my 1280x1024 desktop and had to shrink it to a
reasonable size for posting.

-- Dave


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Attachments:
Download 'Dragons4a.jpg' (95 KB)

Preview of image 'Dragons4a.jpg'
Dragons4a.jpg


 

From: David Fontaine
Subject: Re: norepeatable isomaze
Date: 28 Oct 2001 00:41:47
Message: <3BDB8D44.81E60CC9@faricy.net>
Anton Sherwood wrote:
> 
> David Cook wrote:
> > This reminds me of a post I made quite a while back. I seemed to recall
> > this type of curve was called a "Dragon" curve, hence the title of the
> > image. It turned out this is not what it's called, but I can't remember
> > what the real name is now. Anyone out there remember what this curve is
> > called?
> 
> I have no life, so I looked up your past posts and found one entitled
> "Space filling curves (~50Kb)", dated 1999 May 01.  A couple of
> responses called it a Truchet curve.

Truchet tiling.  There are randomly rotated and positioned tiles
containing segments of the curve that connect with each other.  At least
I think that's what he did, but that's what a Truchet tiling is.

-- 
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/


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From: Ib Rasmussen
Subject: Re: norepeatable isomaze
Date: 28 Oct 2001 08:12:47
Message: <3BDC04DF.B26ACE63@ibras.dk>
David Fontaine wrote:
> 
> Anton Sherwood wrote:
> >
> > David Cook wrote:
> > > This reminds me of a post I made quite a while back. I seemed to recall
> > > this type of curve was called a "Dragon" curve, hence the title of the
> > > image. It turned out this is not what it's called, but I can't remember
> > > what the real name is now. Anyone out there remember what this curve is
> > > called?
> >
> > I have no life, so I looked up your past posts and found one entitled
> > "Space filling curves (~50Kb)", dated 1999 May 01.  A couple of
> > responses called it a Truchet curve.
> 
> Truchet tiling.  There are randomly rotated and positioned tiles
> containing segments of the curve that connect with each other.  At least
> I think that's what he did, but that's what a Truchet tiling is.

I did a search on Truchet and found, among other things, this page:
http://www.itgoesboing.com/Presentations/SIGGRAPH99Sketch/3.html

Huff's layered tiles in the 99.1 image made me wonder, if the system
would work in 3D as well.
It does, but as you can see in the attachment, it does get a little
confusing to look at. Using a reflecting texture doesn't help, I
suppose.

BTW, the Dragon curve is a fractal thingie. See
http://www.math.okstate.edu/mathdept/dynamics/dragon.html

/Ib


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Attachments:
Download 'truchet.jpg' (94 KB)

Preview of image 'truchet.jpg'
truchet.jpg


 

From: 25ct
Subject: Re: norepeatable isomaze
Date: 28 Oct 2001 09:57:30
Message: <3bdc1cda@news.povray.org>
"Ib Rasmussen" <ib### [at] ibrasdk> wrote in message
news:3BDC04DF.B26ACE63@ibras.dk...

   Cool!  Reminds me of the Windows screensaver, "3D pipes".

    ~Steve~


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From: Ib Rasmussen
Subject: Re: norepeatable isomaze
Date: 28 Oct 2001 17:24:54
Message: <3BDC866A.2FB07889@ibras.dk>
25ct wrote:
>    Cool!  Reminds me of the Windows screensaver, "3D pipes".

Yes, perhaps I should throw in a couple of Utah teapots.

I have made a spherical panorama version of the image (without teapots),
just to make it look even more confusing. You can see it at my web
gallery: http://home4.inet.tele.dk/ibras/truchet.htm (You will need
Netscape 4.x or IE 4 or newer to view it. Netscape 6.1 doesn't like the
Zoom java applet.)

/Ib


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From: 25ct
Subject: Re: norepeatable isomaze
Date: 29 Oct 2001 15:07:02
Message: <3bddb6e6@news.povray.org>
"Ib Rasmussen" <ib### [at] ibrasdk> wrote in message
news:3BDC866A.2FB07889@ibras.dk...
> 25ct wrote:
> >    Cool!  Reminds me of the Windows screensaver, "3D pipes".
>
> Yes, perhaps I should throw in a couple of Utah teapots.
>
> I have made a spherical panorama version of the image (without teapots),
> just to make it look even more confusing. You can see it at my web
> gallery: http://home4.inet.tele.dk/ibras/truchet.htm (You will need
> Netscape 4.x or IE 4 or newer to view it. Netscape 6.1 doesn't like the
> Zoom java applet.)

     Nice! I love playing with those applet thingies. I think I've just been
hypnotised though! I've seriously gone dizzy!  ;))

     ~Steve~


>
> /Ib


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