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volume -- computes the volume of a polytope

Description

volume computes the volume of a polytope. To do this, it triangulates the polytope first. The volume of a simplex is |det(v_1-v_0,..,v_n-v_0)|/n!, where v_0,..,v_n are the vertices of the simplex.
i1 : P = crossPolytope 3

o1 = P

o1 : Polyhedron
i2 : volume P

     4
o2 = -
     3

o2 : QQ

Ways to use volume:

  • volume(Polyhedron)

For the programmer

The object volume is a method function.


The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/Polyhedra/documentation/old_documentation.m2:2244:0.