I don't think its enough to lift by monotonically increasing values,
although maybe if it increases fast enough it would work.  I will take
a look at this patch as soon as I can.

-Marshall


On Oct 4, 7:59 pm, "Arnaud Bergeron" <[EMAIL PROTECTED]> wrote:
> 2008/9/29 mhampton <[EMAIL PROTECTED]>:
>
>
>
> > I thought I would explicitly point this one out because I had been
> > reviewing #4164 (work by Arnaud Bergeron), but now I am also
> > contributing code and I think the best scenario is to have someone
> > else take a look.  Mike Hansen has looked at polyhedra.py before, so
> > he is a candidate if willing, but it would be great if someone else
> > takes a look.  Polyhedra.py (in sage/geometry) is still in its early
> > stages; eventually I hope for it and other things in the geometry
> > group to provide most of the functionality of polymake and other
> > packages if they can't be made part of standard sage.  Because the
> > optimal design is far from clear to me, I want to encourage more
> > eyeballs on it (I am an enthusiastic amateur when it comes to
> > polytopes, not an expert).
>
> > Marshall Hampton
>
> About this patch I have an idea for an improvement that would make it
> work 100% in all cases.  I can't believe I didn't think of this
> sooner.
>
> The idea is that instead of adding a random value in the extra
> dimension for the lifting we can only add an monotonically increasing
> value.  I tried this on the simple 4D example that was in doctest
> before as well as the monster that crashed my code (and my hopes)
> before and they both worked repeatedly (with a newly created
> polyhedron, otherwise it just hits the cache).
>
> I visualized the monster one (with ugly hacks) and the results looks
> correct.  I haven't manually inspected every surface produced though,
> so there might be some errors.
>
> So I turn to you (or anybody else that wants) for examples that could
> break this before submitting final version no 42 to trac.
>
> Use the attached patch (requires trac_4164_merge.patch from the trac
> ticket) to try yourself or send me lists of vertices for polyhedron.
>
> Arnaud
>
>  tentative_4164.patch
> 1KViewDownload
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