Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 5646

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: -841795848 *}

i1 : P = cyclicPolytope(3,5)

o1 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of polyhedron => 3
      number of facets => 6
      number of rays => 0
      number of vertices => 5

o1 : Polyhedron

i2 : L = faces(2,P)

o2 = {{ambient dimension => 3           }, {ambient dimension => 3         
       dimension of lineality space => 0    dimension of lineality space =>
       dimension of polyhedron => 1         dimension of polyhedron => 1   
       number of facets => 2                number of facets => 2          
       number of rays => 0                  number of rays => 0            
       number of vertices => 2              number of vertices => 2        
     ------------------------------------------------------------------------
      }, {ambient dimension => 3           }, {ambient dimension => 3      
     0    dimension of lineality space => 0    dimension of lineality space
          dimension of polyhedron => 1         dimension of polyhedron => 1
          number of facets => 2                number of facets => 2       
          number of rays => 0                  number of rays => 0         
          number of vertices => 2              number of vertices => 2     
     ------------------------------------------------------------------------
         }, {ambient dimension => 3           },
     => 0    dimension of lineality space => 0  
             dimension of polyhedron => 1       
             number of facets => 2              
             number of rays => 0                
             number of vertices => 2            
     ------------------------------------------------------------------------
     {ambient dimension => 3           }, {ambient dimension => 3         
      dimension of lineality space => 0    dimension of lineality space =>
      dimension of polyhedron => 1         dimension of polyhedron => 1   
      number of facets => 2                number of facets => 2          
      number of rays => 0                  number of rays => 0            
      number of vertices => 2              number of vertices => 2        
     ------------------------------------------------------------------------
      }, {ambient dimension => 3           }, {ambient dimension => 3      
     0    dimension of lineality space => 0    dimension of lineality space
          dimension of polyhedron => 1         dimension of polyhedron => 1
          number of facets => 2                number of facets => 2
          number of rays => 0                  number of rays => 0
          number of vertices => 2              number of vertices => 2
     ------------------------------------------------------------------------
         }}
     => 0

o2 : List

i3 : apply(L,vertices)

o3 = {| 0 2 |, | 1 2 |, | 0 1 |, | 0 3  |, | 2 3  |, | 3  4  |, | 0 4  |, | 2
      | 0 4 |  | 1 4 |  | 0 1 |  | 0 9  |  | 4 9  |  | 9  16 |  | 0 16 |  | 4
      | 0 8 |  | 1 8 |  | 0 1 |  | 0 27 |  | 8 27 |  | 27 64 |  | 0 64 |  | 8
     ------------------------------------------------------------------------
     4  |, | 1 4  |}
     16 |  | 1 16 |
     64 |  | 1 64 |

o3 : List

i4 :