POV-Ray : Newsgroups : povray.binaries.images : Knot or not? : Re: Knot or not? Server Time
10 Aug 2024 07:14:23 EDT (-0400)
  Re: Knot or not?  
From: Andrew the Orchid
Date: 31 Oct 2004 15:34:01
Message: <41854c39@news.povray.org>
> Well, again studiously avoiding doing anything resembling mathematics 
> myself, I downloaded a "KnotTheory" Mathematica package ( 
> http://www.math.toronto.edu/~drorbn/KAtlas/Manual/index.html ), and 
> typed in Jones[TorusKnot[3,2]][q], which produced q + q^3 - q^4 (which 
> is the same as for one of the Trefoil knots, and the picture the package 
> gives for the (3,2) Torus knot looks like a trefoil.  See the 
> attachment.  If I recall correctly (and that's a big ^if^), the 
> exponents in the Jones polynomial should always work out to be positive 
> or negative integers.  I suppose now I'm going to have to sit down and 
> think it through again.  I'm too old for this ;-)

*You* have Mathematica? :-|

[Is envious]


Post a reply to this message

Copyright 2003-2023 Persistence of Vision Raytracer Pty. Ltd.