Description
The
d-dimensional
cyclicPolytope with
n vertices is the convex hull of
n points on the moment curve in
QQ^
d. The moment curve is defined by
t -> (t,t^2,...,t^d) and the function takes the points
{0,...,n-1}.
i1 : P = cyclicPolytope(3,5)
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of polyhedron => 3
number of facets => 6
number of rays => 0
number of vertices => 5
o1 : Polyhedron
|
i2 : vertices P
o2 = | 0 1 2 3 4 |
| 0 1 4 9 16 |
| 0 1 8 27 64 |
3 5
o2 : Matrix QQ <-- QQ
|