palp: A package for Analyzing Lattice Polytopes


A Package for Analyzing Lattice Polytopes (PALP) is a set of C programs for calculations with lattice polytopes and applications to toric geometry.

It contains routines for vertex and facet enumeration, computation of incidences and symmetries, as well as completion of the set of lattice points in the convex hull of a given set of points. In addition, there are procedures specialised to reflexive polytopes such as the enumeration of reflexive subpolytopes, and applications to toric geometry and string theory, like the computation of Hodge data and fibration structures for toric Calabi-Yau varieties. The package is well tested and optimised in speed as it was used for time consuming tasks such as the classification of reflexive polyhedra in 4 dimensions and the creation and manipulation of very large lists of 5-dimensional polyhedra.

While originally intended for low-dimensional applications, the algorithms work in any dimension and our key routine for vertex and facet enumeration compares well with existing packages.


  • When released, GPL 2 was in force.

  • There is a link to a web page, which now points to GPL 3, but would have pointed to GPL 2 at the time the package was released.

  • Therefore one can deduce the authors were happy for this to be released under GPL 2 or a later version.

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Version Information



Equivalent System Packages


$ sudo pacman -S  palp


$ conda install palp


$ sudo apt-get install  palp


$ sudo yum install  palp


$ nix-env --install palp


$ sudo xbps-install  palp


If the system package is installed, ./configure will check whether it can be used.