stdSimplex -- generates the d-dimensional standard simplex

Synopsis

• 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 = P

o1 : Polyhedron

i2 : vertices P

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

              3        3
o2 : Matrix QQ  <--- QQ