POV-Ray : Newsgroups : povray.object-collection : 3D Loop : Re: 3D Loop Server Time
23 Jun 2021 02:40:12 EDT (-0400)
  Re: 3D Loop  
From: Le Forgeron
Date: 15 May 2015 10:35:01
Message: <55560415@news.povray.org>
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Le 15/05/2015 15:44, Lars Rohwedder a écrit :
> Inspired by this object:
> 
> http://www.shutterstock.com/pic-94505617/stock-photo--d-infinity-shape
- -d-render-illustration.html
>
>  I created a simple Povray union. The resuld you can see attached.
> 
> I would like to change the whole object into a single
> "sphere_sweep" and I'd like to have a closed formula that
> calculates the positions of all spheres at once, with "smooth"
> transitions between the 3 3/4 torii, so no cylindrical parts
> between them.
> 
> I tried 3 polynomials (one for each of the X, Y, Z coordinates) but
> it was harder than it looked to me. :-(
> 
> Any ideas, suggestions?
> 

search "Trefoil knot"

Beware, it's chiral, so there is a left and a right version.
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