Simplicial polytope

In geometry, a simplicial polytope is a polytope whose facets are all simplices. It is topologically dual to simple polytopes. Polytopes that are both simple and simplicial are either simplices or two-dimensional polygons.

Examples

In the case of a three-dimensional simplicial polytope, known as the simplicial polyhedron, the polytope contains only triangular faces of any type. These polyhedra include bipyramids, gyroelongated bipyramids, deltahedra