Nice

"MichaelJF" <mi-### [at] t-onlinede> wrote in message 
news: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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