latticeVolume -- Returning the lattice volume of a polyhedron.

Synopsis

Usage:

v = latticeVolume P
Inputs:
- P, a convex polyhedron,
Outputs:
- v, a rational number,

Description

The lattice volume describes how many unit simplices fit into the polyhedron. It is computed via a triangulation of the polyhedron and then summing over the volumes of the simplices.

i1 : latticeVolume hypercube 3

o1 = 48

o1 : QQ

Ways to use latticeVolume :

latticeVolume(Polyhedron)

For the programmer

The object latticeVolume is a method function.