# cyclicPolytope -- computes the d dimensional cyclic polytope with n vertices

## Synopsis

• Usage:
P = cyclicPolytope(d,n)
• Inputs:
• Outputs:

## 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 = P 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

## Ways to use cyclicPolytope :

• "cyclicPolytope(ZZ,ZZ)"

## For the programmer

The object cyclicPolytope is .