POV-Ray : Newsgroups : povray.general : Some simple geometric puzzles : Re: Some simple geometric puzzles Server Time
30 Jul 2024 08:26:26 EDT (-0400)
  Re: Some simple geometric puzzles  
From: Reactor
Date: 9 Jun 2009 21:20:01
Message: <web.4a2f0a30d1236d66a6f47e80@news.povray.org>
Warp <war### [at] tagpovrayorg> wrote:
> Reactor <rea### [at] hotmailcom> wrote:
> >  sphere{ <0, rad*sqrt(8/3), 0>,  rad   } // top one
>
> > // the other spheres are laid out as corners of an equilateral triangle.
> > // all start at the +z distance away from the center of the triangle (the
> > origin)
> > // the spheres are then rotated into place
> >  sphere{ <0, 0, rad*2/3*sqrt(3)>,  rad   rotate <0,   0,0> }
> >  sphere{ <0, 0, rad*2/3*sqrt(3)>,  rad   rotate <0, 120,0> }
> >  sphere{ <0, 0, rad*2/3*sqrt(3)>,  rad   rotate <0,-120,0> }
>
>   Can you explain in more detail how you came up with those magical
> formulae?
>
> --
>                                                           - Warp

I... no... not really.  I am really bad at explaining these things via
news/text, primarily because I have to be able to see or draw the shapes to
visualize them.  However, in lieu of a long-yet-poorly-worded description,
please accept these diagrams on my Povwiki talk page:
http://wiki.povray.org/content/User_talk:Reactor

I hope you can read my handwriting, if not I will try to decipher it myself and
transcribe it.

-Reactor


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