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7 Aug 2024 03:23:55 EDT (-0400)
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From: Scowdich
Subject: Re: A puzzle
Date: 7 Aug 2006 16:05:00
Message: <web.44d79c18ced82d47d1a114be0@news.povray.org>
Sorry...sorry...it is, indeed, an infinite plane.  The shape was constructed
without any mathematical formulas, only shapes associated with each other
through Boolean algorithms (intersection, difference, union, etc.).  Hope
this clears things up a bit; any other guesses?


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From: Norbert Melzer
Subject: Re: A puzzle
Date: 7 Aug 2006 16:16:06
Message: <zy7wsb2u7kh.dlg@news.nobbz.de>
Am Mon, 07 Aug 2006 13:52:26 -0600 schrieb Jim Henderson:

> I guess it's not really clear from the top post in the thread - I am
> pretty sure, though, that planes within POV aren't counted as finite
> objects, and assume that the walls are planes as well.
>
> Jim

Depending on that what the OP said I assume boxes there. And yes, planes
are INfinites, thats why I said two times that the OP has an typo in his
statistics.

But now, when I write about boxes... I have an idea:
The room is a box, and we are within it. So would remaining 5 finite
Objects for "Thingy" [1] In this case I would suggest one sphere-object,
but dunno what is substracted from it...

OP! Please give us a hint, and if it is only 'bout the counting of your
objects...


[1] I used this term so often today, slowly it comes to my mind to call
    my next cat like this :-)


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From: Scowdich
Subject: Re: A puzzle
Date: 7 Aug 2006 17:45:00
Message: <web.44d7b3cbced82d47d1a114be0@news.povray.org>
Norbert Melzer <nor### [at] gmxnet> wrote:
> Am Mon, 07 Aug 2006 13:52:26 -0600 schrieb Jim Henderson:
>
>
> Depending on that what the OP said I assume boxes there. And yes, planes
> are INfinites, thats why I said two times that the OP has an typo in his
> statistics.
>
> But now, when I write about boxes... I have an idea:
> The room is a box, and we are within it. So would remaining 5 finite
> Objects for "Thingy" [1] In this case I would suggest one sphere-object,
> but dunno what is substracted from it...
>
> OP! Please give us a hint, and if it is only 'bout the counting of your
> objects...
>
Fine, fine, fine, a hint.  As before, the only boxes are those that form the
"walls" of the little room containing the object of mystery.  The object
itself is composed of three identical objects and a sphere, related through
an intersection.  All that's left now is the identity of the original
objects; any guesses?  Another hint: without the sphere involved, the
thingy would have pointy corners.

-Scowdich


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From: Larry Hudson
Subject: Re: A puzzle
Date: 7 Aug 2006 20:33:10
Message: <44d7dbc6$1@news.povray.org>
Norbert Melzer wrote:
> I hope we can solve this puzzle earlier or later (is there some phrase



The English phrase is:  sooner or later.
And it's a very commonly used expression.     :-)

      -=- Larry -=-


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From: Jim Henderson
Subject: Re: A puzzle
Date: 7 Aug 2006 20:47:19
Message: <pan.2006.08.08.00.47.16.562553@nospam.com>
On Mon, 07 Aug 2006 22:13:36 +0200, Norbert Melzer wrote:

> The room is a box,
> and we are within it.

That could well be it, didn't think of that one, and I often render inside
a box. <G>

Jim


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From: Mark Wagner
Subject: Re: A puzzle
Date: 7 Aug 2006 22:07:57
Message: <44d7f1fd@news.povray.org>
Scowdich wrote:

> All that's left now is the identity of the original
> objects; any guesses?  Another hint: without the sphere involved, the
> thingy would have pointy corners.

Intersection of a sphere and three perpendicular toruses?

-- 
Mark


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From: Scowdich
Subject: Re: A puzzle
Date: 8 Aug 2006 00:15:00
Message: <web.44d80f1cced82d47d1a114be0@news.povray.org>
Mark Wagner <mar### [at] gtenet> wrote:
>
>
> Intersection of a sphere and three perpendicular toruses?
>
> --
> Mark

Wow!  Congratulations!  It is, indeed, three perpendicular tori, aligned
along perpendicular axes, with a ratio of major axis:minor axis of 5:4.  I
recently figured out how to hollow it, not by scaling the whole object and
constructing a difference (there would be trouble with the hole at the
middle), but by scaling the minor axis before intersecting the three tori.
It's rendering now; I hope it turns out all right, as there might be a
problem with the max trace level.  I'm pleasantly surprised that this
constructin generated so much interest; I might have to elaborate on it or
make more.  Thanks for joining in, everyone.  By the way...this was my
first construction in POV-Ray.  Any suggestions?


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From: Mike Sobers
Subject: Re: A puzzle
Date: 8 Aug 2006 00:20:01
Message: <web.44d80fc3ced82d472f8f336f0@news.povray.org>
Mark Wagner <mar### [at] gtenet> wrote:
> Scowdich wrote:
>
> > All that's left now is the identity of the original
> > objects; any guesses?  Another hint: without the sphere involved, the
> > thingy would have pointy corners.
>
> Intersection of a sphere and three perpendicular toruses?
>
> --
> Mark

I couldn't get that to work, but cones (-1 to 1) produces something close.
However, there are no holes in the middle.

Mike


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Attachments:
Download 'test.png' (106 KB)

Preview of image 'test.png'
test.png


 

From: Scowdich
Subject: Re: A puzzle
Date: 8 Aug 2006 04:20:01
Message: <web.44d84796ced82d47d1a114be0@news.povray.org>
"Mike Sobers" <sob### [at] mindspringcom> wrote:
>
>
> I couldn't get that to work, but cones (-1 to 1) produces something close.
> However, there are no holes in the middle.
>
> Mike

Mike-
The three tori should work, as long as the minor radius is almost as large
as the major.  It would, however, be possible to create a central hole with
your cones: extend each cone so it intrudes into the cone opposite it; then,
differencing them all from the main sphere would produce the desired result.

To everyone:
Here's my original product, with some modifications.
-Hollowed out by differencing a version which uses slightly smaller minor
axes.
-Filled halfway with "water" - glass modified with an IOR of 1.33, equal to
that of water.
-Rendered for about 6 hours, rather than 15 minutes.

Unfortunately, I suffer the dread disease known as "Have to watch the huge
image render-itis".

Any suggestions for improvements?

Perhaps I'll make a Klein bottle and fill the universe with a quart of
water, or just fill the bottle with an infinite volume of water.  Heh.

-Scowdich


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Attachments:
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Preview of image 'hollow torus1.jpg'
hollow torus1.jpg


 

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