I would like to encourage people to review ticket 7109:

http://trac.sagemath.org/sage_trac/ticket/7109

This was originally submitted by Volker Braun, and I think it is his
first contribution to Sage.  It is an important refactoring of the
polyhedra code in geometry/polyhedra.py.  This rewrite is much
cleaner, easier to extend in the future, and fixes a number of bugs in
my original code (for example: tickets 6915, 6214, and 5134 will all
be closed by this I think).

Because of some lack of doctests and breaks in backwards-
compatibility, I added and changed a substantial amount to Volker's
original patch.  But now I feel I shouldn't give it a positive
review.  So I am asking that someone else check it out.

I don't think you need to be an expert in polyhedra, just familiar
with the Sage review process.  I have tested the new functions pretty
heavily, and while they are slower in some cases this is dramatically
outweighed by the bugfixes.

I think this will be a big advance in the polyhedra functionality in
Sage.

Thanks,
Marshall Hampton
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