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This problem first came up when modelling my TI-89. At the top-front-left and
top-front-right corners.
Consider this: say you want a rounded prism of a rounded rectangle; ie, a roundbox of
sorts except that the x-parallel, y-parallel, and z-parallel edges are rounded by
different amounts, and we want all rounding to be cylindrical. Let's say the x and z
parallel edges are rounded by 1, and the y parallel edges are rounded by 1.5. At the
corners, rather than spheres, you would need torii. Specifically, torii of major
radius
(1.5-1) and minor radius of 1, ie major < minor. This is what advantage there is, what
I
had hoped to achieve, and why I am bucking the system.
Your other sock is stuck to the top inside the drier. You must not have seen it.
There is both skim and 1% in the refridgerator.
Ken wrote:
> Larry Fontaine wrote:
> >
> > How is that not a torus? A torus is defined simply as the solid formed by rotating
> > a circle around a circular path which is perpindicular to the plane of the circle.
>
> Tell me oh bright young one what advantage if any is there in trying
> to make the lesser radius larger than the greater radius ?
>
> What do you hope to achieve anyway ?
>
> Why are you bucking the system ?
>
> Where is my other sock ?
>
> Got milk ?
>
> --
> Ken Tyler - 1100+ Povray, Graphics, 3D Rendering, and Raytracing Links:
> http://home.pacbell.net/tylereng/index.html http://www.povray.org/links/
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In article <380A78B9.C9B4BE1B@pacbell.net> , Ken <tyl### [at] pacbell net>
wrote:
> Is it really a bug when you try to make a torus something other than a torus ?
Well, even if it is not, then it is a degenerate torus and a appropriate
warning messages should be issued ;-) And besides that, fixing it is
rather easy, so just doing so and accepting such torii is no longer a
problem.
Thorsten
____________________________________________________
Thorsten Froehlich, Duisburg, Germany
e-mail: tho### [at] trfde
Visit POV-Ray on the web: http://mac.povray.org
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Tienes leche? Hehehe... actually, you're right, it can be interpreted as Do
YOU have milk? Ah, the imperfections and limitations of language... don'tcha
love 'em?
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Thorsten Froehlich wrote:
> > Is it really a bug when you try to make a torus something other than a torus ?
>
> Well, even if it is not, then it is a degenerate torus and a appropriate
> warning messages should be issued ;-) And besides that, fixing it is
> rather easy, so just doing so and accepting such torii is no longer a
> problem.
>
> Thorsten
Your reply has been accepted.
:)
--
Ken Tyler - 1100+ Povray, Graphics, 3D Rendering, and Raytracing Links:
http://home.pacbell.net/tylereng/index.html http://www.povray.org/links/
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On Sun, 17 Oct 1999 21:28:24 -0500, Larry Fontaine <lfo### [at] isdnet>
wrote:
>How is that not a torus? A torus is defined simply as the solid formed by rotating
>a circle around a circular path which is perpindicular to the plane of the circle.
AFAIR, from the point of view of topology, a torus is defined as the
surface formed by moving a closed curve along a smooth (i.e. with a
definite tangent in every point) and closed path with the plane the
curve lies in always perpendicular to the tangent of the path. A
circular torus is a special case.
Peter Popov
ICQ: 15002700
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Ken <tyl### [at] pacbellnet> wrote:
[snip...]
>
> Is it really a bug when you try to make a torus something other than a
torus ?
>
http://www.treasure-troves.com/math/StandardTori.html
Gerald
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