• LattE

  • Referenced in 102 articles [sw04654]
  • counting lattice points and integration inside convex polytopes. LattE contains the first ever implementation...
  • plantri

  • Referenced in 50 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...
  • PORTA

  • Referenced in 108 articles [sw04869]
  • analyzing polytopes and polyhedra. The polyhedra are either given as the convex hull...
  • Convex

  • Referenced in 28 articles [sw07770]
  • Polyhedra can also be described as the convex hull of finitely many points and rays ... 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 ... generated by finitely many rays. In the Convex package, cones are represented by the type...
  • Normaliz

  • Referenced in 129 articles [sw00630]
  • computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Its input data ... computes the defining hyperplanes, and vice versa), convex hulls, a triangulation of a vector ... cone, the lattice points of a rational polytope or unbounded polyhedron, the integer hull...
  • TiGERS

  • Referenced in 9 articles [sw12585]
  • bijection with the vertices of a convex polytope known as the state polytope...
  • PALP

  • Referenced in 57 articles [sw00672]
  • programs for calculations with lattice polytopes and applications to toric geometry, which is freely available ... lattice points in the convex hull of a given set of points. In addition, there ... procedures specialised to reflexive polytopes such as the enumeration of reflexive subpolytopes, and applications...
  • TPtool

  • Referenced in 6 articles [sw11769]
  • linear parameter-varying) dynamic models into polytopic forms, both in a theoretical and algorithmic context ... model transformation, different optimization and convexity constraints can be considered, and transformations can be executed ... model transformation generates two kinds of polytopic models. Firstly, it numerically reconstructs the HOSVD (Higher ... model transformation generates various convex polytopic forms, upon which LMI (Linear Matrix Inequality) based multi...
  • lattice_polytope

  • Referenced in 3 articles [sw21169]
  • with lattice and reflexive polytopes. A convex polytope is the convex hull of finitely many...
  • StochaTR

  • Referenced in 4 articles [sw11113]
  • coefficients, an uncertainty set is a convex polytope that can be exactly calculated. We construct...
  • rcdd

  • Referenced in 3 articles [sw08186]
  • forth between two representations of a convex polytope: as solution of a set of linear...
  • StatePolytope

  • Referenced in 3 articles [sw07236]
  • StatePolytope computes state polytopes of ideals using the programs gfan, M2, and polymake. Specifically ... Sturmfels’s book Groebner bases and convex polytopes, page 14. There is also a function...
  • VolEsti

  • Referenced in 5 articles [sw25952]
  • volume approximation and sampling of convex bodies (e.g. polytopes...
  • libtropicana

  • Referenced in 2 articles [sw29133]
  • find regular simplicial subdivision of lattice convex polytopes and also compute normalized volume...
  • birkhoff faces

  • Referenced in 3 articles [sw23191]
  • Birkhoff polytopes. The Birkhoff polytope B n is the convex hull ... other places. This is a widely studied polytope with various applications throughout mathematics. In this...
  • FourierMotzkin

  • Referenced in 1 article [sw27120]
  • these two basic representations for convex cones. For polytopes, this allows one to convert between...
  • gfanlib

  • Referenced in 3 articles [sw15679]
  • features of convex geometry through an interface to Gfanlib. It contains cones, polytopes and fans...
  • mplrs

  • Referenced in 2 articles [sw21787]
  • convex polyhedra. The problems chosen span the range from simple to highly degenerate polytopes...
  • Volume

  • Referenced in 3 articles [sw22518]
  • implementation needs a description of a convex body as the intersection of halfspaces ... these must be non-empty, e.g. a polytope is only described by halfspaces). The algorithm ... spherical Gaussian restricted to a convex set. Also, it can compute approximate samples from...
  • Vinci

  • Referenced in 3 articles [sw21789]
  • range from rather classical ones as in convex optimisation to problems in remote fields like ... polynomials can be related to a special polytope volume. Part of the fascination...