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An example use of TopCom
-- interface to selected functions from topcom package
chirotopeString
-- compute the chirotope string of a point or vector configuration
chirotopeString(...,Homogenize=>...)
-- compute the chirotope string of a point or vector configuration
chirotopeString(Matrix)
-- compute the chirotope string of a point or vector configuration
ConnectedToRegular
-- an optional argument used in some functions in the Topcom interfacce package
Fine
-- an optional argument used in some functions in the Topcom interfacce package
Homogenize
-- an optional argument to most functions in Topcom to indicate whether to homogenize the matrix
naiveChirotopeString
-- compute the chirotope string of a point or vector configuration
naiveChirotopeString(...,Homogenize=>...)
-- compute the chirotope string of a point or vector configuration
naiveChirotopeString(Matrix)
-- compute the chirotope string of a point or vector configuration
orientedCircuits
-- compute the oriented circuits of an oriented matroid or point or vector configuration
orientedCircuits(...,Homogenize=>...)
-- compute the oriented circuits of an oriented matroid or point or vector configuration
orientedCircuits(Matrix)
-- compute the oriented circuits of an oriented matroid or point or vector configuration
orientedCircuits(String)
-- compute the oriented circuits of an oriented matroid or point or vector configuration
orientedCocircuits
-- compute the oriented cocircuits of an oriented matroid
orientedCocircuits(...,Homogenize=>...)
-- compute the oriented cocircuits of an oriented matroid
orientedCocircuits(Matrix)
-- compute the oriented cocircuits of an oriented matroid
orientedCocircuits(String)
-- compute the oriented cocircuits of an oriented matroid
RegularOnly
-- an optional argument used in some functions in the Topcom interfacce package
Topcom
-- interface to selected functions from topcom package
topcomAllTriangulations
-- generate all triangulations of a point or vector configuration
topcomAllTriangulations(...,ConnectedToRegular=>...)
-- generate all triangulations of a point or vector configuration
topcomAllTriangulations(...,Fine=>...)
-- generate all triangulations of a point or vector configuration
topcomAllTriangulations(...,Homogenize=>...)
-- generate all triangulations of a point or vector configuration
topcomAllTriangulations(...,RegularOnly=>...)
-- generate all triangulations of a point or vector configuration
topcomAllTriangulations(Matrix)
-- generate all triangulations of a point or vector configuration
topcomFlips
-- find the neighboring triangulations (bistellar flips) of a triangulation
topcomFlips(...,Homogenize=>...)
-- find the neighboring triangulations (bistellar flips) of a triangulation
topcomFlips(...,RegularOnly=>...)
-- find the neighboring triangulations (bistellar flips) of a triangulation
topcomFlips(Matrix,List)
-- find the neighboring triangulations (bistellar flips) of a triangulation
topcomIsRegularTriangulation
-- determine if a given triangulation is a regular triangulation
topcomIsRegularTriangulation(...,Homogenize=>...)
-- determine if a given triangulation is a regular triangulation
topcomIsRegularTriangulation(Matrix,List)
-- determine if a given triangulation is a regular triangulation
topcomIsTriangulation
-- determine if a set of subsets is a triangulation of a point set
topcomIsTriangulation(...,Homogenize=>...)
-- determine if a set of subsets is a triangulation of a point set
topcomIsTriangulation(Matrix,List)
-- determine if a set of subsets is a triangulation of a point set
topcomNumFlips
-- find the number of neighboring triangulations (bistellar flips) of a triangulation
topcomNumFlips(...,Homogenize=>...)
-- find the number of neighboring triangulations (bistellar flips) of a triangulation
topcomNumFlips(...,RegularOnly=>...)
-- find the number of neighboring triangulations (bistellar flips) of a triangulation
topcomNumFlips(Matrix,List)
-- find the number of neighboring triangulations (bistellar flips) of a triangulation
topcomNumTriangulations
-- the number of triangulations of a point or vector configuration
topcomNumTriangulations(...,ConnectedToRegular=>...)
-- the number of triangulations of a point or vector configuration
topcomNumTriangulations(...,Fine=>...)
-- the number of triangulations of a point or vector configuration
topcomNumTriangulations(...,Homogenize=>...)
-- the number of triangulations of a point or vector configuration
topcomNumTriangulations(...,RegularOnly=>...)
-- the number of triangulations of a point or vector configuration
topcomNumTriangulations(Matrix)
-- the number of triangulations of a point or vector configuration
topcomRegularFineTriangulation
-- compute a regular triangulation using all of the given points
topcomRegularFineTriangulation(...,Homogenize=>...)
-- compute a regular triangulation using all of the given points
topcomRegularFineTriangulation(Matrix)
-- compute a regular triangulation using all of the given points
topcomRegularTriangulationWeights
-- find a list of heights of a regular triangulation
topcomRegularTriangulationWeights(...,Homogenize=>...)
-- find a list of heights of a regular triangulation
topcomRegularTriangulationWeights(Matrix,List)
-- find a list of heights of a regular triangulation