Facet (mathematics)

*A facet of an n-dimensional simplex is its (n-1)-dimensional face (mathematics). *A facet of a simplicial complex is its maximal (under inclusion) face.

In the general theory of polyhedra and polytopes, two conflicting meanings are currently jostling for acceptability:

*A facet of a geometric polyhedron is traditionally any polygon whose corners are vertices of the polyhedron. By extension to higher dimensions, it is any j-tope (j-dimensional polytope) whose vertices are shared by some n-tope (n-dimensional polytope where 0