** Next:** What are the faces
** Up:** Convex Polyhedron
** Previous:** Convex Polyhedron
** Contents**

##

What is convex polytope/polyhedron?

A subset of is called a *convex polyhedron* if it is
the set of solutions to a finite system of linear inequalities, and
called *convex polytope* if it is a convex polyhedron and bounded.
When a convex polyhedron (or polytope) has dimension , it is
called a *-polyhedron* (*-polytope*).
For the sequel, we might omit **convex** for convex polytopes
and polyhedra, and call them simply polytopes and polyhedra.

Komei Fukuda
2004-08-26