POV-Ray : Newsgroups : povray.general : elongated torus? : Re: elongated torus? Server Time
29 Jul 2024 22:27:24 EDT (-0400)
  Re: elongated torus?  
From: Le Forgeron
Date: 14 Jun 2010 03:10:12
Message: <4c15d5d4$1@news.povray.org>
Le 13/06/2010 21:02, Shay a écrit :
> John VanSickle wrote:
>> Shay wrote:
>>> Possible with an isosurface function?
>>
>> Elongated in what way?
>>
>> Regards,
>> John
> 
> Like a sphere_sweep through a perfect ellipse.

A torus is a 4th order polynomial, so it should be possible to get an
elongated torus (as revolution of a circle along an ellipse) with a 4th
order polynomial, but it might not be as simple for the equation.

Hint: it's a quartic (and povray has a syntax for them)
explicit torus quartic is:
(x²+y²+z²+R²-r²)² - 4R²(x²+y²) = 0


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A Leader will take time to climb on a
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