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Polyhedra :: simplex

simplex -- Produces a full-dimensional simplex

Synopsis

Usage:

S = simplex d

S = simplex(d, a)
Inputs:
- d, an integer, The dimension
- a, a rational number, The dilation factor
Outputs:
- S, a convex polyhedron

Description

Returns the d-dimensional simplex that is the convex hull of the origin and the unit vectors in QQ^d.

i1 : S = simplex 2

o1 = S

o1 : Polyhedron

i2 : S = simplex(2,2)

o2 = S

o2 : Polyhedron

Ways to use `simplex` :

simplex(ZZ)
simplex(ZZ,QQ)
simplex(ZZ,ZZ)