Triangulations : Index

• allTriangulations -- use topcom to generate all triangulations of a point or vector configuration
• allTriangulations(...,ConnectedToRegular=>...) -- use topcom to generate all triangulations of a point or vector configuration
• allTriangulations(...,Fine=>...) -- use topcom to generate all triangulations of a point or vector configuration
• allTriangulations(...,Homogenize=>...) -- use topcom to generate all triangulations of a point or vector configuration
• allTriangulations(...,RegularOnly=>...) -- use topcom to generate all triangulations of a point or vector configuration
• allTriangulations(Matrix) -- use topcom to generate all triangulations of a point or vector configuration
• bistellarFlip -- perform a bistellar flip on a triangulation
• bistellarFlip(List,List) -- perform a bistellar flip on a triangulation
• bistellarFlip(Triangulation,List) -- perform a bistellar flip on a triangulation
• Chirotope -- the chirotope (oriented matroid) of a point or vector configuration
• chirotope -- compute the chirotope of a point or vector configuration
• chirotope(...,Homogenize=>...) -- compute the chirotope of a point or vector configuration
• chirotope(Matrix) -- compute the chirotope of a point or vector configuration
• chirotope(String) -- compute the chirotope of a point or vector configuration
• ConeIndex -- optional argument: index of the cone center for star triangulations
• DegreeMatrix -- secondary cone of a triangulation, in charge-lattice coordinates
• degreeMatrix -- charge matrix Q whose rows generate ker A
• degreeMatrix(Matrix) -- charge matrix Q whose rows generate ker A
• degreeMatrix(Triangulation) -- charge matrix Q whose rows generate ker A
• delaunaySubdivision -- the Delaunay subdivision of a point set
• delaunaySubdivision(Matrix) -- the Delaunay subdivision of a point set
• delaunayWeights -- squared-norm weights inducing the Delaunay subdivision of a point set
• delaunayWeights(Matrix) -- squared-norm weights inducing the Delaunay subdivision of a point set
• Edges (missing documentation)
• fineStarTriangulation -- refine a triangulation to a fine star triangulation by coning over a center
• fineStarTriangulation(...,ConeIndex=>...) -- refine a triangulation to a fine star triangulation by coning over a center
• fineStarTriangulation(Matrix,List) -- refine a triangulation to a fine star triangulation by coning over a center
• flipCandidates -- candidate affine circuits for bistellar flips of a triangulation
• flipCandidates(Matrix,List) -- candidate affine circuits for bistellar flips of a triangulation
• flipCandidates(Triangulation) -- candidate affine circuits for bistellar flips of a triangulation
• flipGraph -- bistellar-flip graph of a point or vector configuration
• flipGraph(...,Fine=>...) -- bistellar-flip graph of a point or vector configuration
• flipGraph(...,Homogenize=>...) -- bistellar-flip graph of a point or vector configuration
• flipGraph(...,Limit=>...) -- bistellar-flip graph of a point or vector configuration
• flipGraph(...,RegularOnly=>...) -- bistellar-flip graph of a point or vector configuration
• flipGraph(...,Strategy=>...) -- bistellar-flip graph of a point or vector configuration
• flipGraph(Matrix) -- bistellar-flip graph of a point or vector configuration
• flipGraph(Matrix,List) -- bistellar-flip graph of a point or vector configuration
• flipGraph(Triangulation) -- bistellar-flip graph of a point or vector configuration
• flips -- legal bistellar flips of a triangulation, computed via topcom
• flips(...,RegularOnly=>...) -- legal bistellar flips of a triangulation, computed via topcom
• flips(Triangulation) -- legal bistellar flips of a triangulation, computed via topcom
• generateTriangulations -- generate all triangulations with certain properties
• generateTriangulations(...,Fine=>...) -- generate all triangulations with certain properties
• generateTriangulations(...,Homogenize=>...) -- generate all triangulations with certain properties
• generateTriangulations(...,Limit=>...) -- generate all triangulations with certain properties
• generateTriangulations(...,RegularOnly=>...) -- generate all triangulations with certain properties
• generateTriangulations(...,Strategy=>...) -- generate all triangulations with certain properties
• generateTriangulations(Matrix) -- generate all triangulations with certain properties
• gkzVector (missing documentation)
• isFine -- test whether a triangulation uses every point in the configuration
• isFine(Matrix,List) -- test whether a triangulation uses every point in the configuration
• isFine(Triangulation) -- test whether a triangulation uses every point in the configuration
• isRegularTriangulation -- determine if a given triangulation is a regular triangulation
• isRegularTriangulation(...,DegreeMatrix=>...) -- determine if a given triangulation is a regular triangulation
• isRegularTriangulation(Matrix,List) -- determine if a given triangulation is a regular triangulation
• isRegularTriangulation(Triangulation) -- determine if a given triangulation is a regular triangulation
• isStar -- test whether a triangulation is a star with respect to its last point
• isStar(Matrix,List) -- test whether a triangulation is a star with respect to its last point
• isStar(Triangulation) -- test whether a triangulation is a star with respect to its last point
• isWellDefined(Triangulation) -- test whether the simplices of a triangulation form a valid triangulation
• makeFine -- walk to a fine triangulation by support-increasing bistellar flips
• makeFine(Triangulation) -- walk to a fine triangulation by support-increasing bistellar flips
• matrix(Triangulation) -- the matrix whose columns are the points of a triangulation
• max(Triangulation) -- the maximal simplices of a triangulation
• naiveChirotope -- compute the chirotope of a configuration via determinants in Macaulay2
• naiveChirotope(...,Homogenize=>...) -- compute the chirotope of a configuration via determinants in Macaulay2
• naiveChirotope(Matrix) -- compute the chirotope of a configuration via determinants in Macaulay2
• neighbors -- triangulations adjacent to a given one in the bistellar-flip graph
• neighbors(...,Fine=>...) -- triangulations adjacent to a given one in the bistellar-flip graph
• neighbors(Triangulation) -- triangulations adjacent to a given one in the bistellar-flip graph
• regularFineFanTriangulation -- a regular fine star fan triangulation of a vector configuration
• regularFineFanTriangulation(Matrix) -- a regular fine star fan triangulation of a vector configuration
• regularFineStarTriangulation -- a regular fine star triangulation of a polytope's boundary
• regularFineStarTriangulation(...,ConeIndex=>...) -- a regular fine star triangulation of a polytope's boundary
• regularFineStarTriangulation(Matrix) -- a regular fine star triangulation of a polytope's boundary
• regularFineTriangulation -- a regular fine triangulation of a point or vector configuration
• regularFineTriangulation(...,Homogenize=>...) -- a regular fine triangulation of a point or vector configuration
• regularFineTriangulation(Matrix) -- a regular fine triangulation of a point or vector configuration
• regularFineTriangulation(Triangulation) -- a regular fine triangulation of a point or vector configuration
• regularTriangulationWeights -- height vector inducing a regular triangulation, if one exists
• regularTriangulationWeights(...,DegreeMatrix=>...) -- height vector inducing a regular triangulation, if one exists
• regularTriangulationWeights(Matrix,List) -- height vector inducing a regular triangulation, if one exists
• regularTriangulationWeights(Triangulation) -- height vector inducing a regular triangulation, if one exists
• secondaryCone -- secondary cone of a triangulation, in charge-lattice coordinates
• secondaryCone(...,DegreeMatrix=>...) -- secondary cone of a triangulation, in charge-lattice coordinates
• secondaryCone(Matrix,List) -- secondary cone of a triangulation, in charge-lattice coordinates
• secondaryCone(Triangulation) -- secondary cone of a triangulation, in charge-lattice coordinates
• someTriangulation -- a triangulation of a point or vector configuration, not necessarily fine or regular
• someTriangulation(Matrix) -- a triangulation of a point or vector configuration, not necessarily fine or regular
• Triangulation -- a triangulation of a point or vector configuration
• triangulation -- make a Triangulation object
• triangulation(...,Homogenize=>...) -- make a Triangulation object
• triangulation(List,List) -- make a Triangulation object
• triangulation(Matrix,List) -- make a Triangulation object
• Triangulations -- triangulations of polyhedra and point sets
• vectors -- the column vectors of the configuration underlying a triangulation
• vectors(Triangulation) -- the column vectors of the configuration underlying a triangulation
• volumeVector -- the GKZ vector (per-vertex/per-ray volume sum) of a triangulation
• volumeVector(Matrix,List) -- the GKZ vector (per-vertex/per-ray volume sum) of a triangulation
• volumeVector(Triangulation) -- the GKZ vector (per-vertex/per-ray volume sum) of a triangulation
• wallCircuits -- distinct codim-2 wall circuits of a triangulation, with sign convention
• wallCircuits(Matrix,List) -- distinct codim-2 wall circuits of a triangulation, with sign convention
• wallCircuits(Triangulation) -- distinct codim-2 wall circuits of a triangulation, with sign convention