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

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