isSimplicial -- Check whether a complex or co-complex is simplicial.

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 : isSimplicial C

o3 = true

i4 : R=QQ[x_0..x_5]

o4 = R

o4 : PolynomialRing

i5 : C1=fullCyclicPolytope(3,R)

o5 = 3: x x x x x x  
         0 1 2 3 4 5

o5 : complex of dim 3 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {1, 6, 12, 8, 1}, Euler = 0

i6 : isSimplicial C1

o6 = false