Triangulations : Table of Contents

• Triangulations -- triangulations of polyhedra and point sets
• allTriangulations(Matrix) -- use topcom to generate all triangulations of a point or vector configuration
• bistellarFlip -- 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
• ConeIndex -- optional argument: index of the cone center for star triangulations
• degreeMatrix -- charge matrix Q whose rows generate ker A
• delaunaySubdivision -- the Delaunay subdivision of a point set
• delaunayWeights -- 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
• flipCandidates -- candidate affine circuits for bistellar flips of a triangulation
• flipGraph -- bistellar-flip graph of a point or vector configuration
• flips -- legal bistellar flips of a triangulation, computed via topcom
• generateTriangulations -- generate all triangulations with certain properties
• gkzVector (missing documentation)
• isFine -- test whether a triangulation uses every point in the configuration
• isRegularTriangulation -- determine if a given triangulation is a regular triangulation
• isStar -- 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
• 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
• neighbors -- triangulations adjacent to a given one in the bistellar-flip graph
• regularFineFanTriangulation -- a regular fine star fan triangulation of a vector configuration
• regularFineStarTriangulation -- a regular fine star triangulation of a polytope's boundary
• regularFineTriangulation -- a regular fine triangulation of a point or vector configuration
• regularTriangulationWeights -- height vector inducing a regular triangulation, if one exists
• secondaryCone -- secondary cone of a triangulation, in charge-lattice coordinates
• someTriangulation -- 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
• vectors -- the column vectors of the configuration underlying a triangulation
• volumeVector -- the GKZ vector (per-vertex/per-ray volume sum) of a triangulation
• wallCircuits -- distinct codim-2 wall circuits of a triangulation, with sign convention