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verticalNet -- multiple nets concatenated vertically

Description

If L is a list of objects $A_1,A_2,\ldots,A_n$, then this concatenates their nets vertically. Note that this concatenates their nets into a single net, whereas verticalConcatenate concatenates the tableaux themselves into a single tableau.

i1 : T1 = youngTableau(new Partition from {6,6,5,3,1}, new Partition from {2,1,1})

             ┌───┬───┬───┬───┐
o1 =         │   │   │   │   │
         ┌───┼───┼───┼───┼───┤
         │   │   │   │   │   │
         ├───┼───┼───┼───┼───┘
         │   │   │   │   │    
     ┌───┼───┼───┼───┴───┘    
     │   │   │   │            
     ├───┼───┴───┘            
     │   │                    
     └───┘                    

o1 : YoungTableau
 
i2 : T2 = youngTableau(new Partition from {3,1}, new Partition from {1}, {"a","b","c"})

         ┌───┬───┐
o2 =     │ a │ b │
     ┌───┼───┴───┘
     │ c │        
     └───┘        

o2 : YoungTableau
 
i3 : verticalNet {T1, T2}

             ┌───┬───┬───┬───┐
o3 =         │   │   │   │   │
         ┌───┼───┼───┼───┼───┤
         │   │   │   │   │   │
         ├───┼───┼───┼───┼───┘
         │   │   │   │   │    
     ┌───┼───┼───┼───┴───┘    
     │   │   │   │            
     ├───┼───┴───┘            
     │   │                    
     └───┘                    
         ┌───┬───┐
         │ a │ b │
     ┌───┼───┴───┘
     │ c │        
     └───┘

See also

For the programmer

The object verticalNet is a function closure.

The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Tableaux/documentation.m2:1498:0.