• MPT

  • Referenced in 230 articles [sw04732]
  • handling of systems with persistent additive and polytopic uncertainties. Users can add custom constraints, such ... polytopic, contraction, or collision avoidance constraints, or create custom objective functions. Resulting optimal control laws...
  • polymake

  • Referenced in 314 articles [sw00724]
  • research in polyhedral geometry. It deals with polytopes, polyhedra and fans as well as simplicial...
  • Normaliz

  • Referenced in 168 articles [sw00630]
  • computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Its input data ... cone, the lattice points of a rational polytope or unbounded polyhedron, the integer hull ... grading (for example, for rational polytopes), generalized (or weighted) Ehrhart series and Lebesgue integrals ... polynomials over rational polytopes via NmzIntegrate, a description of the cone and lattice under consideration...
  • LattE

  • Referenced in 118 articles [sw04654]
  • counting lattice points and integration inside convex polytopes. LattE contains the first ever implementation ... directly compute integrals of polynomial functions over polytopes and in particular to do volume computations...
  • PORTA

  • Referenced in 126 articles [sw04869]
  • collection of routines for analyzing polytopes and polyhedra. The polyhedra are either given...
  • PALP

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

  • Referenced in 69 articles [sw10864]
  • planar graphs, including triangulations, quadrangulations and convex polytopes. Many applications in the natural sciences ... given. These include triangulations, quadrangulations, convex polytopes, several classes of cubic and quartic graphs...
  • PolyTop

  • Referenced in 42 articles [sw07629]
  • PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element...
  • Ellipsoidal Toolbox

  • Referenced in 37 articles [sw10826]
  • intersections of ellipsoids with halfspaces and polytopes; distances between ellipsoids, between ellipsoids and hyperplanes, between ... ellipsoids and polytopes; and projections onto given subspaces. Ellipsoidal methods are used to compute forward ... sets intersect with given ellipsoids, hyperplanes, or polytopes...
  • Convex

  • Referenced in 33 articles [sw07770]
  • bounded polyhedron is also called a polytope. In the Convex package, polyhedra are represented ... type POLYHEDRON and polytopes by the subtype POLYTOPE. A POLYHEDRON may contain lines...
  • 01poly

  • Referenced in 18 articles [sw14281]
  • 01poly [OPTIONS] you get information about 01-polytopes of dimension 2-6 with desired properties ... Dimension 5. The output includes the polytope(s) as bitvector (e.g. a 1 for every ... equivalence classes and their cardinalities. All known polytopes can immediately be accessed by their unique...
  • Calabi-Yau database

  • Referenced in 28 articles [sw24665]
  • threefolds which can be obtained from each polytope, up to current computational limits. We then...
  • Adinkras

  • Referenced in 27 articles [sw09383]
  • other fields (homological algebra, poset theory, and polytopes), and solve some of these problems. Original...
  • lrs

  • Referenced in 22 articles [sw04730]
  • difficult class of polyhedra, called configuration polytopes, that have application to determining the ground states...
  • 2L_enum

  • Referenced in 11 articles [sw31753]
  • Enumeration of 2-level polytopes. A (convex) polytope P is said to be 2-level ... translate of H. The study of these polytopes is motivated by questions in combinatorial optimization ... enumerating all combinatorial types of 2-level polytopes of a given dimension d, and provide ... each fixed (𝑑−1) -dimensional 2-level polytope 𝑃0 , we enumerate all d-dimensional...
  • TiGERS

  • Referenced in 11 articles [sw12585]
  • bijection with the vertices of a convex polytope known as the state polytope ... normal fan of its state polytope. In this paper we present a software system called ... enumerating the edge graph of its state polytope. The key contributions are an inexpensive algorithm ... tree on the vertices of the state polytope. Using these ideas we obtain a combinatorial...
  • DEMiCs

  • Referenced in 21 articles [sw00196]
  • computing the mixed volume of the Newton polytopes of a general semi-mixed polynomial system...
  • hgm R

  • Referenced in 21 articles [sw08770]
  • find an interesting interplay with systems for polytopes in the project. References and current implementations...
  • TropLi

  • Referenced in 19 articles [sw10180]
  • tool for computing vertices of Newton polytopes of A-discriminants, are both available online...