# polytopalFacets -- The facets of a polytope.

## Synopsis

• Usage:
polytopalFacets(C)
• Inputs:
• C, , a polytope
• R, ,
• Outputs:
• C, ,

## Description

The facets of a polytope. Note that this is not facets(C) (which is the polytope itself).

 i1 : R=QQ[x_0..x_5] o1 = R o1 : PolynomialRing i2 : C=fullCyclicPolytope(3,R) o2 = 3: x x x x x x 0 1 2 3 4 5 o2 : complex of dim 3 embedded in dim 3 (printing facets) equidimensional, non-simplicial, F-vector {1, 6, 12, 8, 1}, Euler = 0 i3 : facets C o3 = {{}, {}, {}, {}, {x x x x x x }} 0 1 2 3 4 5 o3 : List i4 : polytopalFacets(C) o4 = {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 o4 : List

## See also

• isPolytope -- Check whether a complex is a polytope.
• facets -- The maximal faces of a complex.

## Ways to use polytopalFacets :

• "polytopalFacets(Complex)"

## For the programmer

The object polytopalFacets is .