POV-Ray : Newsgroups : povray.binaries.images : CSG Challenge : Re: CSG Challenge Server Time
29 Jul 2024 22:33:32 EDT (-0400)
  Re: CSG Challenge  
From: MichaelJF
Date: 24 Jul 2013 15:15:00
Message: <web.51f026863a6d0c047d40b13d0@news.povray.org>
"MichaelJF" <mi-### [at] t-onlinede> wrote:
> clipka <ano### [at] anonymousorg> wrote:
> > Am 24.07.2013 16:19, schrieb Cousin Ricky:
> > > "Shay" <non### [at] nonecom> wrote:
> > >> If you think you've got it figured out, try it. $50 to the POV-Ray wishlist
> > >> (presuming this still exists) if anyone else can get it.
> > >
> > > I can visualize the parts that need to fit together.  The hard part will be the
> > > non-Euclidian math needed to make them match up.
> >
> > Indeed!
>
> No, no non-Euclidian math is needed here. One can solve the puzzle only with
> Euclid and Pythagoras but one has to think in polar coordinates instead of
> Euclidian ones and heavily use rotate. I really liked this Little challenge
> since I was a Little bit bored looking at Smoking mountains and needed a break.
> But unfortunatelly I have not the time to accomplish the full Picture.
>
> Best regards,
> Michael

To illustrate this a bit. If you add a new slice of the surrounding sphere and
cut out the blue "circles" rotated eight times around the y-axis, fill in
appropriate scaled, cut and transformed tori and finally eight little spheres
you have solved the problem of the upper pikes.

Best regards,
Michael


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