Polytope whose facets are all simplices
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 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.
Examples.
Simplicial polyhedra include:
Simplicial tilings:
Simplicial 4-polytopes include:
Simplicial higher polytope families:
Notes.
 ;templatestyles src="Reflist/styles.css" / ;