Simplicial polytope

In geometry, a simplicial polytope is a polytope whose facets are all simplices.

For example, a simplicial polyhedron in three dimensions contains only triangular faces[1] and corresponds via Steinitz's theorem to a maximal planar graph.

They are topologically dual to simple polytopes.

Polytopes which are both simple and simplicial are either simplices or two-dimensional polygons.

Simplicial polyhedra include: Simplicial tilings: Simplicial 4-polytopes include: Simplicial higher polytope families: