stdSimplex -- generates the d-dimensional standard simplex

Usage:

P = stdSimplex d
Inputs:
- d, an integer, strictly positive
Outputs:
- P, a convex polyhedron

Description

The d-dimensional standard simplex is the convex hull of the standard basis in QQ^(d+1).

i1 : P = stdSimplex 2

o1 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of polyhedron => 2
      number of facets => 3
      number of rays => 0
      number of vertices => 3

o1 : Polyhedron

i2 : vertices P

o2 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3       3
o2 : Matrix QQ  <-- QQ

Ways to use stdSimplex:

stdSimplex(ZZ)

For the programmer

The object stdSimplex is a method function.

The source of this document is in OldPolyhedra.m2:7676:0.