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.
We don't have any images related to Simplicial polytope yet.
You can add one yourself here.
We don't have any YouTube videos related to Simplicial polytope yet.
You can add one yourself here.
We don't have any PDF documents related to Simplicial polytope yet.
You can add one yourself here.
We don't have any Books related to Simplicial polytope yet.
You can add one yourself here.
We don't have any archived web articles related to Simplicial polytope yet.
Examples
Simplicial polyhedra include:
- Bipyramids
- Gyroelongated bipyramids
- Deltahedra (equilateral triangles)
- Catalan solids:
Simplicial tilings:
- Regular:
- Laves tilings:
Simplicial 4-polytopes include:
Simplicial higher polytope families:
- simplex
- cross-polytope (Orthoplex)
See also
Notes
References
Polyhedra, Peter R. Cromwell, 1997. (p.341) https://books.google.com/books?id=OJowej1QWpoC ↩