variables -- The variables of a complex or co-complex.

i1 : R=QQ[x_0..x_5]

o1 = R

o1 : PolynomialRing

i2 : C=boundaryCyclicPolytope(3,R)

o2 = 2: x x x  x x x  x x x  x x x  x x x  x x x  x x x  x x x  
         0 1 2  0 2 3  0 3 4  0 1 5  1 2 5  2 3 5  0 4 5  3 4 5

o2 : complex of dim 2 embedded in dim 5 (printing facets)
     equidimensional, simplicial, F-vector {1, 6, 12, 8, 0, 0, 0}, Euler = 1

i3 : F=C.fc_0_0

o3 = x
      0

o3 : face with 1 vertex

i4 : lkF=link(F,C)

o4 = 1: x x  x x  x x  x x  x x  
         1 2  2 3  3 4  1 5  4 5

o4 : complex of dim 1 embedded in dim 5 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 5, 0, 0, 0, 0}, Euler = -1

i5 : variables lkF

o5 = {x , x , x , x , x , x }
       0   1   2   3   4   5

o5 : List

i6 : vert lkF

o6 = {x , x , x , x , x }
       5   4   3   2   1

o6 : List