====== BigObject CovectorLattice ======
//from application [[..:tropical|tropical]]//\\
\\


  ? derived from:
  : ''[[..:graph:Lattice |Lattice]]''
===== Properties =====

==== Combinatorics ====
 These properties capture combinatorial information of the object.  Combinatorial properties only depend on combinatorial data of the object like, e.g., the face lattice.
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{{anchor:covectors:}}
  ?  **''COVECTORS''**
  :: Each node in the face lattice is a cell of a covector decomposition (of either the tropical torus or the tropical span of some points). This property maps each cell to the corresponding covector. A covector is encoded as an IncidenceMatrix, where rows correspond to coordinates and columns to ''[[..:tropical:Polytope#POINTS |POINTS]]''. Note that this is already encoded in ''[[..:graph:Lattice#DECORATION |DECORATION]]'' and mainly kept for convenience and backwards compatibility.
    ? Type:
    :''[[..:common#NodeMap |NodeMap]]<[[..:common#Directed |Directed]],[[..:common#IncidenceMatrix |IncidenceMatrix]]<[[..:common#NonSymmetric |NonSymmetric]]%%>>%%''


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===== Methods =====

==== Combinatorics ====
 These methods capture combinatorial information of the object.  Combinatorial properties only depend on combinatorial data of the object like, e.g., the face lattice.
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{{anchor:dim:}}
  ?  **''dim''**
  ::


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{{anchor:nodes_of_dim:}}
  ?  **''nodes_of_dim''**
  ::


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{{anchor:nodes_of_dim_range:}}
  ?  **''nodes_of_dim_range''**
  ::


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==== Visualization ====
 These methods are for visualization.
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{{anchor:visual:}}
  ?  **''VISUAL''**
  :: Visualizes the covector lattice. This works the same as a visualization of a Hasse diagram except that by default, covectors are displayed. This can be turned off by the option Covectors=>"hidden"


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