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OldPolyhedra :: maxCones

maxCones -- displays the generating Cones of a Fan

Synopsis

Description

maxCones displays the List of generating cones of the Fan, i.e. all Cones that are not a face of one of the other cones. These are all of the same dimension if and only if the Fan is pure (see: isPure).

i1 : F = normalFan crossPolytope 3

o1 = {ambient dimension => 3         }
      number of generating cones => 6
      number of rays => 8
      top dimension of the cones => 3

o1 : Fan
i2 : L = maxCones F

o2 = {{ambient dimension => 3           }, {ambient dimension => 3         
       dimension of lineality space => 0    dimension of lineality space =>
       dimension of the cone => 3           dimension of the cone => 3     
       number of facets => 4                number of facets => 4          
       number of rays => 4                  number of rays => 4            
     ------------------------------------------------------------------------
      }, {ambient dimension => 3           }, {ambient dimension => 3      
     0    dimension of lineality space => 0    dimension of lineality space
          dimension of the cone => 3           dimension of the cone => 3  
          number of facets => 4                number of facets => 4       
          number of rays => 4                  number of rays => 4         
     ------------------------------------------------------------------------
         }, {ambient dimension => 3           },
     => 0    dimension of lineality space => 0  
             dimension of the cone => 3         
             number of facets => 4              
             number of rays => 4                
     ------------------------------------------------------------------------
     {ambient dimension => 3           }}
      dimension of lineality space => 0
      dimension of the cone => 3
      number of facets => 4
      number of rays => 4

o2 : List
i3 : apply(L,rays)

o3 = {| -1 1  -1 1  |, | -1 1  -1 1  |, | -1 -1 -1 -1 |, | -1 1  -1 1 |, | -1
      | -1 -1 1  1  |  | -1 -1 -1 -1 |  | -1 1  -1 1  |  | -1 -1 1  1 |  | 1 
      | -1 -1 -1 -1 |  | -1 -1 1  1  |  | -1 -1 1  1  |  | 1  1  1  1 |  | -1
     ------------------------------------------------------------------------
     1  -1 1 |, | 1  1  1  1 |}
     1  1  1 |  | -1 1  -1 1 |
     -1 1  1 |  | -1 -1 1  1 |

o3 : List

Ways to use maxCones :

For the programmer

The object maxCones is a method function.