POV-Ray : Newsgroups : povray.general : cones in a box Server Time
11 Aug 2024 07:12:32 EDT (-0400)
  cones in a box (Message 1 to 6 of 6)  
From: Larry Fontaine
Subject: cones in a box
Date: 1 Sep 1999 17:03:56
Message: <37CD90C5.D1638CEE@isd.net>
First day of school today. In biology, we had to do a metric measurement
worksheet, and some of the problems involved a rubber stopper shaped
like a clipped cone. The top diameter was 2.2 cm, the bottom diameter
was 2.7 cm, and the non-lateral height was 2.5 cm. One question asked
the volume. Another question asked how many could fit in a box the size
of the biology book, which is 20.65 x 25.5 x 4.5 cm. The instructor
simply divided volume and got 200-some. But this raises an interesting
question: exactly how many clipped cones can fit into a box? I got 110,
my method was a hexagonally-tiled row along the 20.65 cm axis. By having
the upper row flipped from the bottom row, I figured 11 could fit
together without exceeding the height of the book (6 on bottom, 5 on
top). Then 10 of these rows could fit in the 25.5 cm length. That gives
110, but can anybody do more?

For a large enough box, I think the most efficient way is to tile them
in hexagonal layers like cylinders, but have every other row
"upsode-down". Then stack layer upon layer until the box is full. The
top or bottom of each layer would be like so:[Image]


Post a reply to this message


Attachments:
Download 'us-ascii' (2 KB) Download 'c:\windows\temp\nsmailhd.jpeg.jpg' (12 KB)

Preview of image 'c:\windows\temp\nsmailhd.jpeg.jpg'
c:\windows\temp\nsmailhd.jpeg.jpg


 

From: Alan Kong
Subject: Re: cones in a box
Date: 2 Sep 1999 00:02:47
Message: <37cff5f9.1287614306@news.povray.org>
On Wed, 01 Sep 1999 15:47:01 -0500, Larry Fontaine <lfo### [at] isdnet> wrote:

>First day of school today.[..]

  Hi, Larry.

  May I suggest that images (binary attachments) be posted in p.b.i.
(povray.binaries.images) for the sake of organization? Post your discussion
messages in the appropriate group (povray.general, povray.unix, etc.) and
mention that the pertinent image may be found in p.b.i. Similarly, when
posting the image in p.b.i., use a line of text to indicate which group your
discussion posts may be found. It also helps to make the subject line of
both the posted image and the posted text message similar in wording.

  Keeping the binaries in their appropriate groups makes it much easier for
another newsgroup participant to find your image, say two months from now.
They may not recall which group the discussion took place in but they'll
know exactly where to look for the image with a specific subject line.

  Thanks for your participation in news.povray.org.

-- 
Alan
--------------------------------------------------------------------
http://www.povray.org - Home of the Persistence of Vision Ray Tracer
news.povray.org - where POV-Ray enthusiasts around the world can get
together to exchange ideas, information, and experiences with others
--------------------------------------------------------------------


Post a reply to this message

From: Nieminen Juha
Subject: Re: cones in a box
Date: 2 Sep 1999 04:19:48
Message: <37ce3324@news.povray.org>
Personally I like it more when people mention an URL to the image instead
of posting it to p.b.i. It's much easier to just copy the URL to netscape
(or just clicking the url in some newsreaders) than going to another
newsgroup, searching the post in question and coming back here.

-- 
main(i,_){for(_?--i,main(i+2,"FhhQHFIJD|FQTITFN]zRFHhhTBFHhhTBFysdB"[i]
):5;i&&_>1;printf("%s",_-70?_&1?"[]":" ":(_=0,"\n")),_/=2);} /*- Warp -*/


Post a reply to this message

From: Ken
Subject: Re: cones in a box
Date: 2 Sep 1999 04:27:28
Message: <37CE349C.B9C65813@pacbell.net>
Nieminen Juha wrote:
> 
>   Personally I like it more when people mention an URL to the image instead
> of posting it to p.b.i. It's much easier to just copy the URL to netscape
> (or just clicking the url in some newsreaders) than going to another
> newsgroup, searching the post in question and coming back here.

The only limitation with this method is if in some future time someone else
wishes to see the referenced image the file could well have been removed
from a web site while it will still be available here on the server. I often
reference back to past messages dating as far back as the beginning of
this server. If refereneced material was unavailable the content of some
messages would be worthless. I will also agree though there are case where
is is appropriate top provide a link to some temporary data of no importance
but in this case it is an important part of the data in the message and
should not be time limited.


-- 
Ken Tyler

See my 850+ Povray and 3D Rendering and Raytracing Links at:
http://home.pacbell.net/tylereng/index.html


Post a reply to this message

From: Peter Popov
Subject: Re: cones in a box
Date: 2 Sep 1999 15:18:39
Message: <y1DON0P7UE3oRHaSo3lacW=DdSqF@4ax.com>
On 2 Sep 1999 04:19:48 -0400, Nieminen Juha <war### [at] cctutfi> wrote:

>  Personally I like it more when people mention an URL to the image instead
>of posting it to p.b.i. It's much easier to just copy the URL to netscape
>(or just clicking the url in some newsreaders) than going to another
>newsgroup, searching the post in question and coming back here.

What about us 33.6 analog line offline readers?


Peter Popov
ICQ: 15002700


Post a reply to this message

From: John M  Dlugosz
Subject: Re: cones in a box
Date: 7 Sep 1999 03:21:44
Message: <37d4bd08@news.povray.org>
FWIW, I agree that the figure as an important part of the message ought to
be inline.
Especially for line drawing like this, which should be a =lot= smaller than
the actual JPEG.  A bilevel PNG would have been much smaller, followed by
2-color GIF.

Ken <tyl### [at] pacbellnet> wrote in message
news:37CE349C.B9C65813@pacbell.net...
> I will also agree though there are case where
> is is appropriate top provide a link to some temporary data of no
importance
> but in this case it is an important part of the data in the message and
> should not be time limited.

I think it's funny that the format of his posting got all the attention,
rather than the -subject-.  So how many corks do fit in the box?

--John


Post a reply to this message

Copyright 2003-2023 Persistence of Vision Raytracer Pty. Ltd.