edim -- The embedding dimension 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 : dim C

o3 = 2

i4 : edim C

o4 = 5