Mike Williams wrote:

> I was wondering what the next simplest shape similar to a moebius trefoil
> would be. It's fairly easy to make a 5-lobed knot similar to the 3-lobed
> trefoil, but my attempts to produce something with four lobes tended to
> produce structures that consisted of two loops with various degrees of
> linking between them. Then I happened to create this thing. I'm not sure if
> it's a knot or not.
> 
> 

Well, if it's the same as the first knot, below, and I think it is, then 
it's a "3,2 Torus Knot" (which I generated using KnotPlot -- 
http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html )

In which case, using KnotPlot, I deformed it (continuously, so it should 
be topologically equivalent) to the second knot, below, which looks 
somewhat familiar ;-)

Dave Matthews

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