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Darren New <dne### [at] san rrcom> wrote:
> I was thinking more scale it from x=1.0 y=1.0 to x=1.0 y=0.0 as you move
> from z=0 to z=1, if that makes sense. Not an intersection, but a non-linear
> scaling.
Here's the catch: You can't do non-linear scaling in POV-Ray (unless you use
parametrics, isosurfaces or some such).
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Further thinking about your description, if apex really a segment parallel to base:
check volume 3 of news://news.povray.org:119/496f790c@news.povray.org
(title: "6 volumes" OP: Le_Forgeron, Date 15 january 2009)
It's a conocuneus, a quartic.
Toothpath tube classical end.
intersection {
box {<0,-1,-1><2,1,1>}
quartic {
<0,0,0,0,0, 0,0,1,0,-1,
0,0,0,0,0, 0,0,0,0,0,
0,0,0,0,0, 4,0,0,0,0,
0,0,0,0,0> }
}
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"Darren New" <dne### [at] sanrrcom> wrote in message
news:4a7078d0$1@news.povray.org...
> clipka wrote:
>> Darren New <dne### [at] sanrrcom> wrote:
>>> Could one start with a cylinder instead? Since the top is as wide as the
>>> bottom in at least one direction?
>>
>> Hm, yes, I guess a cylinder intersected with a wedge would fit Thomas'
>> bill, too
>> (at least nominally, though it may not be what he looked for, due to the
>> hard
>> edges this would produce)
>
> I was thinking more scale it from x=1.0 y=1.0 to x=1.0 y=0.0 as you move
> from z=0 to z=1, if that makes sense. Not an intersection, but a
> non-linear scaling.
>
That's what two of the three examples I posted this morning do, one using an
Isosurface, the other using slices of a sphere, (but a cylinder would work
the same). The third example I posted used the method Clipka outlined, which
generates a slightly different shaped surface.
I think there is at least one more way without using shear, which is to
scale a cone non uniformly, rotate and slice it, such that the horizontal
section becomes circular while the edge is vertical, then fill out the
middle as before.
Regards,
Chris B.
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"Chris B" <nom### [at] nomailcom> wrote in message
news:4a70803b@news.povray.org...
>
> I think there is at least one more way without using shear, which is to
> scale a cone non uniformly, rotate and slice it, such that the horizontal
> section becomes circular while the edge is vertical, then fill out the
> middle as before.
>
In fact I've tried it and I don't think my fourth way works because you
always end up with a parabolic conic section.
Nevertheless, Le Forgeron looks as though he's still churning out more
alternatives :-)
Geometry questions seem popular. Any more ;)
Regards,
Chris B.
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Toothpaste tube end indeed covers the bill :-)
Thomas
"Le_Forgeron" <jgr### [at] freefr> schreef in bericht
news:4a707f48$1@news.povray.org...
> Further thinking about your description, if apex really a segment parallel
> to base:
>
> check volume 3 of news://news.povray.org:119/496f790c@news.povray.org
> (title: "6 volumes" OP: Le_Forgeron, Date 15 january 2009)
>
> It's a conocuneus, a quartic.
> Toothpath tube classical end.
>
> intersection {
> box {<0,-1,-1><2,1,1>}
> quartic {
> <0,0,0,0,0, 0,0,1,0,-1,
> 0,0,0,0,0, 0,0,0,0,0,
> 0,0,0,0,0, 4,0,0,0,0,
> 0,0,0,0,0> }
> }
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"Le_Forgeron" <jgr### [at] freefr> schreef in bericht
news:4a707f48$1@news.povray.org...
> It's a conocuneus, a quartic.
> Toothpath tube classical end.
>
> intersection {
> box {<0,-1,-1><2,1,1>}
> quartic {
> <0,0,0,0,0, 0,0,1,0,-1,
> 0,0,0,0,0, 0,0,0,0,0,
> 0,0,0,0,0, 4,0,0,0,0,
> 0,0,0,0,0> }
> }
This is now the most elegant solution. Thanks a lot!
Thomas
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"Le_Forgeron" <jgr### [at] freefr> schreef in bericht
news:4a707f48$1@news.povray.org...
> Further thinking about your description, if apex really a segment parallel
> to base:
>
> check volume 3 of news://news.povray.org:119/496f790c@news.povray.org
> (title: "6 volumes" OP: Le_Forgeron, Date 15 january 2009)
>
Maybe me, but this reference is not pointing to anything on news.povray.org
....
Thomas
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"Thomas de Groot" <tDOTdegroot@interDOTnlANOTHERDOTnet> schreef in bericht
news:4a7d349d$1@news.povray.org...
>
> "Le_Forgeron" <jgr### [at] freefr> schreef in bericht
> news:4a707f48$1@news.povray.org...
>> check volume 3 of news://news.povray.org:119/496f790c@news.povray.org
>> (title: "6 volumes" OP: Le_Forgeron, Date 15 january 2009)
>
Seriously, I cannot find any message related to this on the server in any
n.g. (I used Search). Neither title nor date refer to a message. Any help?
Thomas
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"Thomas de Groot" <tDOTdegroot@interDOTnlANOTHERDOTnet> wrote in message
news:4a7fcc36$1@news.povray.org...
>
> "Thomas de Groot" <tDOTdegroot@interDOTnlANOTHERDOTnet> schreef in bericht
> news:4a7d349d$1@news.povray.org...
>>
>> "Le_Forgeron" <jgr### [at] freefr> schreef in bericht
>> news:4a707f48$1@news.povray.org...
>>> check volume 3 of news://news.povray.org:119/496f790c@news.povray.org
>>> (title: "6 volumes" OP: Le_Forgeron, Date 15 january 2009)
>>
>
> Seriously, I cannot find any message related to this on the server in any
> n.g. (I used Search). Neither title nor date refer to a message. Any help?
>
> Thomas
>
Hi Thomas.
See:
From: "Le_Forgeron" <jgr### [at] freefr>
Newsgroups: povray.binaries.images
Sent: Thursday, January 15, 2009 6:57 PM
Subject: 6 volumes
The URL above incorporated the port number (119) in a way that screwed up
the link on my newsreader (and I imagine on yours too). It's the default
port anyway, so when I removed that it popped up ok in the Windows Mail
client on Vista. ie news://news.povray.org/496f790c@news.povray.org
It's also available through the browser interface at:
http://news.povray.org/povray.binaries.images/thread/%3C496f790c%40news.povray.org%3E/?ttop=318396&toff=250
It seems that Le Forgeron foresaw your very question at the start of the
year. Next Psychic challenger please :-)
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"Chris B" <nom### [at] nomailcom> schreef in bericht
news:4a7fdf72$1@news.povray.org...
> Hi Thomas.
> See:
>
> From: "Le_Forgeron" <jgr### [at] freefr>
> Newsgroups: povray.binaries.images
> Sent: Thursday, January 15, 2009 6:57 PM
> Subject: 6 volumes
>
> The URL above incorporated the port number (119) in a way that screwed up
> the link on my newsreader (and I imagine on yours too). It's the default
> port anyway, so when I removed that it popped up ok in the Windows Mail
> client on Vista. ie news://news.povray.org/496f790c@news.povray.org
> It's also available through the browser interface at:
>
http://news.povray.org/povray.binaries.images/thread/%3C496f790c%40news.povray.org%3E/?ttop=318396&toff=250
>
> It seems that Le Forgeron foresaw your very question at the start of the
> year. Next Psychic challenger please :-)
Thanks Chris. I also found it at last through the browser interface. My
primary problem was in fact that all older messages on my news reader were
gone so that my search didn't give any results. I just then realised I had
to load them back up again to access them. Summer heat makes the brain
sluggish :-)
Thomas
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