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Groups > comp.lang.postscript > #816
| From | luser- -droog <mijoryx@yahoo.com> |
|---|---|
| Newsgroups | comp.lang.postscript |
| Subject | Re: ping luser- -droog: SVG or PS project for you? |
| Date | 2012-07-17 08:16 -0700 |
| Organization | http://groups.google.com |
| Message-ID | <aff1ff46-4811-4bfe-ab8f-0ecba80a374c@googlegroups.com> (permalink) |
| References | <1ca6lvkhx25dt.14pkcuyecuct2$.dlg@40tude.net> |
On Tuesday, July 17, 2012 3:48:33 AM UTC-5, tlvp wrote:
> I'm not sure whether you're up to taking on others' tasks, but here's a
> geometrical one my own PS and/or SVG capabilities just aren't up to at all.
>
> I'd like to find code for getting 2D-projected views of the 3D object
> whose x- and y- and z-coordinates (after suitable scaling, say) satisfy:
>
> : Max [ x^2+y^2, x^2+z^2, y^2+z^2 ] = 4 (-2 <= x&y&z <= +2) .
>
> You can visualize this as the result of starting with a 4-inch length of
> two-inch radius wooden doweling (that helps assure, say, x^2+y^2 <= 4),
> spinning it against a belt sander with spinning axis perpendicular to --
> and bisecting -- the central axis from the one disc-shaped end to the other
> until you've removed enough material to assure x^2+z^2 <= 4 (if it were a
> stubby D cell battery, it would be spinning end over end, grinding the +
> and - poles down until they're well rounded, sort of), and then using a
> third axis perpendicular to the two axes already mentioned as a spinning
> axis for grinding down the last bits (still at the + and - poles), to
> assure y^2+z^2 <= 4.
>
> [If you have Mathematica, tell it you want it to give you
>
> : RegionPlot3D[Max[x^2+y^2,x^2+z^2,y^2+z^2]<=4,{x,-2,2},{y,-2,2},{z,-2,2}]] .
>
> (Or try with the last 6 instances of the values "2", in the braces,
> replaced by "2.01".)
> With Maple, I suspect some very similar formulation will work as well. But
> I have neither of them, and Wolfram|Alpha balks at giving the help I want.]
>
> Anyway, viewed "head-on" from the perspective of any of those three axes,
> the resulting object has circular silhouette. Viewed from virtually any
> other perspective, not properly circular at all.
>
> Any way to come up with a SVG animation showing views of this beast as
> one's viewing angle varies from elevations of 0 up through 45 degrees,
> and/or one's lateral angle varies between -45 and +45 degrees (leftward
> and/or rightward), would be welcome. Or even just a short slide-show of PS
> views :-) . (I think of your snowfkake iterations as a "slide-show" model.)
>
> TIA, if possible; and no hard feelings if not. Cheers, -- tlvp
> --
> Avant de repondre, jeter la poubelle, SVP.
I'll give it a go. Might have to reread the second half
of Mathematical Illustrations. It would be a bridge to
one of my ideas: an animated stereogram of a rotating
tesseract.
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ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-07-17 04:48 -0400
Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-07-17 08:16 -0700
Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-07-17 19:25 -0400
Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-08-17 23:40 -0700
Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-08-18 00:14 -0700
Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-08-18 22:44 -0400
Moire Madness! Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-08-23 13:00 -0700
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-08-24 01:45 -0400
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-08-24 01:49 -0400
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-08-23 23:11 -0700
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? luser- -droog <mijoryx@yahoo.com> - 2012-08-23 23:58 -0700
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-08-25 02:17 -0400
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? Luser droog <mijoryx@yahoo.com> - 2012-08-29 18:25 -0500
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? Luser droog <mijoryx@yahoo.com> - 2012-08-29 21:32 -0500
Re: Moire Madness! Re: ping luser- -droog: SVG or PS project for you? tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-08-30 05:26 -0400
Hula-Hoop Hullaballoo! Re: ping luser- -droog: SVG or PS project for you? Luser droog <mijoryx@yahoo.com> - 2012-09-02 16:04 -0500
Re: Hula-Hoop Hullaballoo! Re: ping luser- -droog: SVG or PS project for you? Luser droog <mijoryx@yahoo.com> - 2012-09-03 12:29 -0500
Re: Hula-Hoop Hullaballoo! Re: ping luser- -droog: SVG or PS project for you? Luser droog <mijoryx@yahoo.com> - 2012-09-04 12:04 -0500
Re: Hula-Hoop Hullaballoo! Re: ping luser- -droog: SVG or PS project for you? "M. Joshua Ryan" <mijoryx@yahoo.com> - 2012-09-04 12:49 -0500
A shaded cylinder luser- -droog <mijoryx@yahoo.com> - 2012-09-04 18:11 -0700
Re: A shaded cylinder luser- -droog <mijoryx@yahoo.com> - 2012-09-11 13:03 -0700
Spinning Steinmertz Solid (approx.) luser- -droog <mijoryx@yahoo.com> - 2012-09-11 21:29 -0700
Mulligan (again) luser- -droog <mijoryx@yahoo.com> - 2012-09-13 19:07 -0700
Re: Mulligan (again) tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-09-14 05:05 -0400
Heineken time "luser.droog" <luser.droog@gmail.com> - 2012-09-15 16:50 -0500
Bigger and Badderer "luser.droog" <luser.droog@gmail.com> - 2012-09-16 23:33 -0500
Re: Bigger and Badderer "luser.droog" <luser.droog@gmail.com> - 2012-09-16 23:37 -0500
QapplaH! "luser.droog" <luser.droog@gmail.com> - 2012-09-17 11:34 -0500
Re: QapplaH! (appendix: updated mat.ps) "luser.droog" <luser.droog@gmail.com> - 2012-09-17 13:05 -0500
one more cup of coffee for the road. "luser.droog" <luser.droog@gmail.com> - 2012-09-18 02:51 -0500
Re: Bigger and Badderer tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-09-18 21:52 -0400
Re: Bigger and Badderer "luser.droog" <luser.droog@gmail.com> - 2012-09-18 22:30 -0500
Re: Bigger and Badderer tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2012-09-19 00:59 -0400
Re: Bigger and Badderer "luser.droog" <luser.droog@gmail.com> - 2012-09-19 00:48 -0500
Revolving Camera prototype "luser.droog" <luser.droog@gmail.com> - 2012-09-23 22:30 -0500
Steinmetz with Revolving Camera "luser.droog" <luser.droog@gmail.com> - 2012-09-24 09:30 -0500
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