# boundaryCyclicPolytope -- The boundary complex of a cyclic polytope.

## Synopsis

• Usage:
boundaryCyclicPolytope(d,R)
• Inputs:
• Outputs:
• ,

## Description

Returns the boundary complex of a cyclic polytope of dimension d inside the standard simplex of the variables of R. So the vertices are those of the standard simplex.

 i1 : R=QQ[x_0..x_5] o1 = R o1 : PolynomialRing i2 : 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

## Ways to use boundaryCyclicPolytope :

• "boundaryCyclicPolytope(ZZ,PolynomialRing)"

## For the programmer

The object boundaryCyclicPolytope is .