 |
|
|
|
|
|
| |
| |
|
|
|
|
| |
| |
|
|
David Fontaine wrote:
> I just thought of an interesting shape: a 4D torus, equivalent to a 3D torus,
> but if you exit the torus you reenter it at the opposite side, that being the
> point on the opposite side of the cross-section halfway around the torus.
> Is that possible in 4d?
Dammit, Jim, I'm a ray-tracer, not a topologist!
--
Anton Sherwood -- br0### [at] p0b0x com -- http://ogre.nu/
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
On Wed, 02 Aug 2000 18:59:59 -0500, Mike wrote:
>But can you make an un-twisted, un-rolled, un-torus while keeping the
>two ends together? Wrap your mind around that one!
If it was an infinite length then due to some law of physics I think
the ends would meet weather you wanted them to or not.
--
Cheers
Steve email mailto:ste### [at] zeroppsuklinuxnet
%HAV-A-NICEDAY Error not enough coffee 0 pps.
web http://www.zeropps.uklinux.net/
or http://start.at/zero-pps
3:48am up 19 days, 2:15, 2 users, load average: 2.03, 1.91, 1.62
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
"Steve" <ste### [at] zeroppsuklinuxnet> wrote in message
news:slr### [at] zero-ppslocaldomain...
> On Wed, 02 Aug 2000 18:59:59 -0500, Mike wrote:
> >But can you make an un-twisted, un-rolled, un-torus while keeping the
> >two ends together? Wrap your mind around that one!
>
> If it was an infinite length then due to some law of physics I think
> the ends would meet weather you wanted them to or not.
That would be obtuse non-Euclidean geometry, where space is boundless yet
finite, the 3d equivalent of a 2d system drawn on the surface of a sphere.
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
On Wed, 02 Aug 2000 10:12:09 -0700, Ken <tyl### [at] pacbellnet> wrote:
>
>My version of the un-twisted, un-rolled, un-torus.
>
>You think I am on to something ?
For one thing you're wrong. This *is* a torus (with caps added), it's
just not a circular nor a closed one. But it is a torus.
Well, some topologists might argue that a torus has to be closed but I
would stick to the more general definition, thank you.
As of twisted... how do you know? I mean, sure, it looks smooth, but
this doesn't mean it's untwisted. Besides, it's the product of a
twisted mind (i's, not y's :) ) <grin>
Peter Popov ICQ : 15002700
Personal e-mail : pet### [at] usanet
TAG e-mail : pet### [at] tagpovrayorg
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
On Wed, 02 Aug 2000 22:26:51 -0500, David Fontaine <dav### [at] faricynet>
wrote:
>I just thought of an interesting shape: a 4D torus, equivalent to a 3D torus,
>but if you exit the torus you reenter it at the opposite side, that being the
>point on the opposite side of the cross-section halfway around the torus.
>Is that possible in 4d?
Hey, usind 4D to tie and untie tori is *cheating*!!! Do it in 3D if
you dare!
:)
Peter Popov ICQ : 15002700
Personal e-mail : pet### [at] usanet
TAG e-mail : pet### [at] tagpovrayorg
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
Ken wrote in message <39885669.1EAF1E05@pacbell.net>...
>
>My version of the un-twisted, un-rolled, un-torus.
>
>You think I am on to something ?
>
Ohh pretty <grin>
Texture could be improved thought.
Gail
********************************************************************
* gsh### [at] monotixcoza * Reality.dat not found *
* http://www.rucus.ru.ac.za/~gail/ * Attempting to reboot universe *
********************************************************************
* The best way to accelerate Windows NT is at 9.8 m/s^2 *
********************************************************************
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
inspriational !, whats the render time on that sucker?
Rick
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
Ken wrote:
>
> My version of the un-twisted, un-rolled, un-torus.
>
Seems like torus with infinitely big major radius. And secretly twisted,
rolled, tortured, tormented etc. Show us other side of it!
> You think I am on to something ?
>
I think that You are on something and up to something.
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
I'd give my left retina to see this rendered with photons!
"Ken" <tyl### [at] pacbellnet> wrote in message
news:39885669.1EAF1E05@pacbell.net...
>
> My version of the un-twisted, un-rolled, un-torus.
>
> You think I am on to something ?
>
> --
> Ken Tyler - 1400+ POV-Ray, Graphics, 3D Rendering, and Raytracing Links:
> http://home.pacbell.net/tylereng/index.html http://www.povray.org/links/
----------------------------------------------------------------------------
----
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
> If it was an infinite length then due to some law of physics I think
> the ends would meet weather you wanted them to or not.
however, if space was truly infinite, how would you ever know if the ends
did meet, in fact would there even be ends?
Rick
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
