-- -*- M2-comint -*- {* hash: 517867261 *}

i1 : C = posHull matrix {{1,0,0},{0,1,0},{0,0,1}}

o1 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of the cone => 3
      number of facets => 3
      number of rays => 3

o1 : Cone

i2 : v = posHull matrix {{-1},{-1},{-1}}

o2 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of the cone => 1
      number of facets => 1
      number of rays => 1

o2 : Cone

i3 : F = fan {C,v}

o3 = {ambient dimension => 3         }
      number of generating cones => 2
      number of rays => 4
      top dimension of the cones => 3

o3 : Fan

i4 : isPure F

o4 = true

i5 : C1 = posHull{(faces(1,C))#0,v}

o5 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of the cone => 3
      number of facets => 3
      number of rays => 3

o5 : Cone

i6 : F = addCone(C1,F)

o6 = {ambient dimension => 3         }
      number of generating cones => 2
      number of rays => 4
      top dimension of the cones => 3

o6 : Fan

i7 : isPure F

o7 = true

i8 :