• Normaliz

  • Referenced in 168 articles [sw00630]
  • computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Its input data ... pointed) rational cone, the lattice points of a rational polytope or unbounded polyhedron, the integer ... over rational polytopes via NmzIntegrate, a description of the cone and lattice under consideration...
  • PALP

  • Referenced in 70 articles [sw00672]
  • programs for calculations with lattice polytopes and applications to toric geometry, which is freely available ... well as completion of the set of lattice points in the convex hull ... addition, there are procedures specialised to reflexive polytopes such as the enumeration of reflexive subpolytopes...
  • LattE

  • Referenced in 118 articles [sw04654]
  • problems of counting lattice points and integration inside convex polytopes. LattE contains the first ever...
  • lattice_polytope

  • Referenced in 3 articles [sw21169]
  • lattice_polytope module of SageMath: Lattice and reflexive polytopes. This module provides tools for work ... with lattice and reflexive polytopes. A convex polytope is the convex hull of finitely many ... embedded in Rn. A lattice polytope is a polytope whose vertices all have integer coordinates...
  • Polyhedral

  • Referenced in 7 articles [sw22883]
  • package Polyhedral is devoted to polytopes and lattices. Its main functionalities are: Computing dual description ... construction of a polytope. Compute the Delaunay tesselation corresponding to a lattice of Rn. Deal...
  • NormalizInterface

  • Referenced in 5 articles [sw26615]
  • computations in affine monoids, vector configurations, lattice polytopes, and rational cones...
  • LatticePolytopes

  • Referenced in 2 articles [sw20102]
  • LatticePolytopes -- for computations with lattice polytopes. A lattice polytope is a bounded object ... functions that are specific for lattice polytopes rather than general polyhedra. Examples of such methods ... classifications of smooth 2-polytopes with up to 12 lattice points and smooth 3-polytopes...
  • libtropicana

  • Referenced in 6 articles [sw29133]
  • find regular simplicial subdivision of lattice convex polytopes and also compute normalized volume...
  • polyDB

  • Referenced in 3 articles [sw26610]
  • polyDB: a database for polytopes and related objects. polyDB is a database for discrete geometric ... various datasets from the area of lattice polytopes, combinatorial polytopes, matroids and tropical geometry...
  • lattice_normalization

  • Referenced in 1 article [sw26611]
  • computation of lattice normal forms of lattice polytopes and for checking lattice isomorphism of lattice...
  • surface_dynamics

  • Referenced in 3 articles [sw38631]
  • Parma Polyhedra Library) and LattE (Lattice point Enumeration) for polytope computations...
  • IOP

  • Referenced in 2 articles [sw30545]
  • Computational Methods of Lattice Point Enumeration in Inside-out Polytopes, http://math.sfsu.edu/beck/teach/masters/andrewv.pdf....
  • Convex

  • Referenced in 33 articles [sw07770]
  • type POLYHEDRON and polytopes by the subtype POLYTOPE. A POLYHEDRON may contain lines ... functions to do calculations in the face lattice of a cone or polyhedron...
  • simpl.mpl

  • Referenced in 1 article [sw38884]
  • imgen() compute the lattice points in the Newton polytope, construct an interpolation matrix by evaluating...
  • VertexEnumeration

  • Referenced in 2 articles [sw32187]
  • enumerating all vertices of a convex polytope given by a system of linear inequalities ... supplementary package ”FaceLattice.m” computes the face lattice structure of a bounded convex polyhedron...
  • cdd

  • Referenced in 115 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • CGAL

  • Referenced in 384 articles [sw00118]
  • The goal of the CGAL Open Source Project...
  • CoCoA

  • Referenced in 654 articles [sw00143]
  • CoCoA is a system for Computations in Commutative...
  • GAP

  • Referenced in 3154 articles [sw00320]
  • GAP is a system for computational discrete algebra...
  • Macaulay2

  • Referenced in 1904 articles [sw00537]
  • Macaulay2 is a software system devoted to supporting...