Simplicial polytope
![](https://upload.wikimedia.org/wikipedia/commons/9/9e/120px-Tetrahedron-slowturn.gif)
Tetrahedron : all faces are triangles
In geometry , a simplicial polytope is a polytope whose faces are simplexes .
For example, a tetrahedron is a simplicial polytope because its faces are 2-dimensional simplices (triangles). The cube is not a simplicial polytope because its faces are not triangles, but rectangles.
Examples
1-dimensional simplicial polytopes
2-dimensional simplicial polytopes
- Tetrahedron
- Double pyramids , especially octahedra
- Deltahedra , especially icosahedron