# pyramid -- computes the pyramid over a polyhedron

## Synopsis

• Usage:
Q = pyramid P
• Inputs:
• Outputs:

## Description

pyramid takes the polyhedron P with ambient dimension n and embeds it into QQ^(n+1) on height 0 with respect to the new last variable. Then it computes the convex hull of the embedded P and the point (0,...,0,1).

 i1 : P = hypercube 2 o1 = P o1 : Polyhedron i2 : Q = pyramid P o2 = Q o2 : Polyhedron i3 : vertices Q o3 = | -1 1 -1 1 0 | | -1 -1 1 1 0 | | 0 0 0 0 1 | 3 5 o3 : Matrix QQ <--- QQ

## Ways to use pyramid :

• "pyramid(Polyhedron)"

## For the programmer

The object pyramid is .