Well, actually of course it has only one side :-)
Saying 7-edged mobius ring isn't correct either, since it has also only 1
edge...
How do you call this?
A mobius-ring with a 7-sided cross-section?

ZK
http://www.povplace.be.tf

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Zeger Knaepen wrote:

> Well, actually of course it has only one side :-)
> Saying 7-edged mobius ring isn't correct either, since it has also only 1
> edge...
> How do you call this?
> A mobius-ring with a 7-sided cross-section?

Sure.
Nice pic (I see you used focal blur :).
And since 7 is a prime number, it will always have 1 side unless it is
twisted by a multiple of 360..

--
David Fontaine     <dav### [at] faricynet>     ICQ 55354965
Please visit my website: http://www.faricy.net/~davidf/

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> Sure.
> Nice pic (I see you used focal blur :).
Tnx.
I used PP-focal blur and softglow.

> And since 7 is a prime number, it will always have 1 side unless it is
> twisted by a multiple of 360..
You mean an it wouldn't be the case with an even number?
Are you sure?
Hmmm...
Maybe...
Don't know... :-)

ZK
http://www.povplace.be.tf

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Zeger Knaepen wrote:

> > And since 7 is a prime number, it will always have 1 side unless it is
> > twisted by a multiple of 360..
> You mean an it wouldn't be the case with an even number?
> Are you sure?
> Hmmm...
> Maybe...
> Don't know... :-)

Yes, I'm sure :-)
For example, if a 7-sided strip twists by 1/7 of 360 degrees every time
around (as your does it looks like), it will go from row 1 to row 2 to row 3
and so on back around to 1, giving a sequence of 1234567. If it twists 2/7
of 360, it has a pattern of 1357246. You can easily figure out the other
sequences if you like.
Now, with a six-sided one, you can rotate it 60 degrees every revolution
which yields 123456, or 120, which gives two sides: 135 & 246, or 180, which
gives 14 & 25 & 36...
The key is, does the numerator, or the modulo of the numerator and the
denominator, divide into the number of sides of the cross-section.

--
David Fontaine     <dav### [at] faricynet>     ICQ 55354965
Please visit my website: http://www.faricy.net/~davidf/

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> Yes, I'm sure :-)
OK, if you say so :-)

> For example, if a 7-sided strip twists by 1/7 of 360 degrees every time
> around (as your does it looks like), it will go from row 1 to row 2 to row
3
Mine twists 2/7 of 360 degrees, but I don't think that's really important,
is it?
It still has one side, right?
(Please! :-)

> and so on back around to 1, giving a sequence of 1234567. If it twists 2/7
> of 360, it has a pattern of 1357246. You can easily figure out the other
> sequences if you like.
Ah, that's a 'right'-answer... isn't it? :-)

> Now, with a six-sided one, you can rotate it 60 degrees every revolution
> which yields 123456, or 120, which gives two sides: 135 & 246, or 180,
which
> gives 14 & 25 & 36...
> The key is, does the numerator, or the modulo of the numerator and the
> denominator, divide into the number of sides of the cross-section.
interesting...

Really!

ZK
http://www.povplace.be.tf

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David Fontaine <dav### [at] faricynet> wrote:
: And since 7 is a prime number, it will always have 1 side unless it is
: twisted by a multiple of 360..

  And this holds for every prime number.

  Now, this is an interesting idea: Get a really big prime number and make
a moebius which cross-section has that many sides. It will look like it has
lots of sides and still it will have only one (unless you twist by a multiple
of 360...).

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

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Warp <war### [at] tagpovrayorg> schreef in berichtnieuws
39951eb7@news.povray.org...
> David Fontaine <dav### [at] faricynet> wrote:
> : And since 7 is a prime number, it will always have 1 side unless it is
> : twisted by a multiple of 360..
>
>   And this holds for every prime number.
>
>   Now, this is an interesting idea: Get a really big prime number and make
> a moebius which cross-section has that many sides. It will look like it
has
> lots of sides and still it will have only one (unless you twist by a
multiple
> of 360...).
Actually, I think it will look like an ordinary torus :-)

ZK
http://www.povplace.be.tf

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