This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Next revisionBoth sides next revision |
tutorial:lattice_polytopes_tutorial [2017/07/31 16:14] – [Additional notes for normaliz / normaliz2] updated code oroehrig | user_guide:lattice_polytopes_tutorial [2019/01/25 09:27] – ↷ Page moved from tutorial:lattice_polytopes_tutorial to user_guide:lattice_polytopes_tutorial oroehrig |
---|
====== Tutorial for Lattice Polytopes ====== | ====== Tutorial for Lattice Polytopes ====== |
| |
This page gives a small introduction to lattice polytopes in ''polymake'', some useful external software, and usage hints for it. For a list of methods and properties applicable to lattice polytopes see [[tutorial:lattice_polytopes_doc|here]]. For an introduction to the ''polymake'' package see [[tutorial/start|here]]. \\ | This page gives a small introduction to lattice polytopes in ''polymake'', some useful external software, and usage hints for it. For a list of methods and properties applicable to lattice polytopes see [[user_guide:lattice_polytopes_doc|here]]. For an introduction to the ''polymake'' package see [[tutorial/start|here]]. \\ |
''polymake'' always assumes that the lattice used to define a lattice polytope is the standard lattice Z<sup>d</sup>. Some rules also require that the polytope is full dimensional. There are user functions that transform a polytope sitting in some affine subspace of R<sup>d</sup> into a full dimensional polytope, either in the induced lattice or the lattice spanned by the vertices, see below. \\ | ''polymake'' always assumes that the lattice used to define a lattice polytope is the standard lattice Z<sup>d</sup>. Some rules also require that the polytope is full dimensional. There are user functions that transform a polytope sitting in some affine subspace of R<sup>d</sup> into a full dimensional polytope, either in the induced lattice or the lattice spanned by the vertices, see below. \\ |
| |