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Here is a related wish list:
http://wiki.sagemath.org/PolyhedraWishList

Related software (in no particular order):

Parma Polyhedra Library:
\t http://www.cs.unipr.it/ppl/ http://trac.sagemath.org/sage_trac/ticket/10039
\t http://cgm.cs.mcgill.ca/~avis/C/lrs.html

http://polymake.org/doku.php

http://www.math.ucdavis.edu/~latte/

http://www.math.ucdavis.edu/~mkoeppe/latte/

http://www.mathematik.uni-osnabrueck.de/normaliz/index.html

http://www.kotnet.org/~skimo/barvinok/

http://icps.u-strasbg.fr/polylib/

http://www.4ti2.de/

http://www.math.uwo.ca/~mfranz/convex/

http://www.mathematik.uni-rostock.de/lehrstuehle/geometrie/software/

http://www.cs.mcgill.ca/~fukuda/soft/cdd_home/cdd.html

http://www.cs.unb.ca/profs/bremner/pd/

http://www.mpi-inf.mpg.de/~behle/azove.html

http://www2.iwr.uni-heidelberg.de/groups/comopt/software/PORTA/

http://www.inrialpes.fr/pop-art/people/bjeannet/newpolka/

http://www.qhull.org/

http://www2.isye.gatech.edu/~wcook/qsopt/

http://www.uic.unn.ru/~zny/skeleton/

http://www.math.u-bordeaux1.fr/~enge/index.php?category=software&page=vinci