POV-Ray : Newsgroups : povray.advanced-users : Shape Request : Re: Shape Request Server Time
20 Apr 2024 02:56:32 EDT (-0400)
  Re: Shape Request  
From: Le Forgeron
Date: 15 May 2017 14:13:36
Message: <5919efd0$1@news.povray.org>
Le 15/05/2017 à 18:30, Bald Eagle a écrit :
> I have looked into doing some 4D projections into 3D space, but alas, the math
> for the moment evades me.
> 
> With regard to constant-perceived-width objects, specifically in the present
> case of planetary and satellite orbits, the projection of a torus would be a
> useful little object to be able to have on-hand.
> 
> http://mathforum.org/mathimages/index.php/Projection_of_a_Torus
> 
> I'm envisioning 3 parameters for this:  major radius, and 2 minor radii - the
> max and the min.
> 
> Thanks to anyone taking an interest!  :)
> 
> 

A quick search for 4D torus found me that page:

http://www.dr-mikes-maths.com/4d-torus.html

which seems to make more sense than your link, at least on your link I
did not get the notion of 4D.

Now, if all you need is a classical 3D-donut shape with a hole not at
the center and yet a regular circle as bounding on the equator plane, it
might just be a matter of playing with fourth order polynomial.

So, can you clarify what you want ?


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