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Simplicial Polyhedron

A simplicial polyhedron in solid geometry is a polyhedron all of whose faces are triangles. It need not be convex (Demaine et al. 2001, pp. 1-2).

A bounded convex polyhedron with this property is the three-dimensional case of a simplicial polytope (Fukuda 2004).

See also

Polyhedron, Simplicial Polytope

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References

Demaine, E. D.; Eppstein, D.; Erickson, J.; Hart, G. W.; and O'Rourke, J. "Vertex-Unfoldings of Simplicial Polyhedra." Tech. Rep. 071, Smith College, July 2001. https://arxiv.org/abs/cs/0107023.Demaine, E. D.; Eppstein, D.; Erickson, J.; Hart, G. W.; and O'Rourke, J. "Vertex-Unfoldings of Simplicial Manifolds." In Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday (Ed. A. Bezdek). New York: Marcel Dekker, pp. 215-228, 2003. https://jeffe.web.engr.illinois.edu/pubs/vunfold.html.Fukuda, K. "What Is Simple/Simplicial Polytope?" 26 Aug 2004. https://www.cs.mcgill.ca/~fukuda/soft/polyfaq/node10.html.

Referenced on Wolfram|Alpha

Simplicial Polyhedron

Cite this as:

Weisstein, Eric W. "Simplicial Polyhedron." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SimplicialPolyhedron.html

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