POV-Ray : Newsgroups : povray.binaries.images : 7-'sided' Mobius-ring : Re: 7-'sided' Mobius-ring Server Time
1 Oct 2024 15:24:03 EDT (-0400)
  Re: 7-'sided' Mobius-ring  
From: David Fontaine
Date: 11 Aug 2000 19:27:32
Message: <399489E2.5894E34F@faricy.net>
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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