Stellated Polyhedron
A convex regular Polyhedron. Stellated polyhedra include the Kepler-Poinsot Solids,which consist of three Dodecahedron Stellations and one of the Icosahedron Stellations. Coxeter (1982) shows that59 Icosahedron Stellations exist. The Cube and the Tetrahedron cannot be stellated. TheOctahedron has only one stellation, the Stella Octangula which is a compound of twoTetrahedra.
There are therefore a total of 
stellated Polyhedra, although some areCompound Polyhedra and therefore not Uniform Polyhedra. The setof all possible Edges of the stellations can be obtained by finding all intersections on thefacial planes.
References
Coxeter, H. S. M. The Fifty-Nine Icosahedra. New York: Springer-Verlag, 1982. Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Publications, 1989. Wenninger, M. J. Polyhedron Models. Cambridge, England: University Press, 1974.
- Humbert's Theorem
- Hundkurve
- Hundred
- Huntington Equation
- Hunt's Surface
- Hurwitz Equation
- Hurwitz Number
- Hurwitz Polynomial
- Hurwitz-Radon Theorem
- Hurwitz's Irrational Number Theorem
- Hurwitz's Root Theorem
- Hurwitz Zeta Function
- Hutton's Formula
- Hutton's Method
- Hyperbola
- Hyperbola Evolute
- Hyperbola Inverse Curve
- Hyperbola Pedal Curve
- Hyperbolic Automorphism
- Hyperbolic Cosecant
- Hyperbolic Cosine
- Hyperbolic Cotangent
- Hyperbolic Cube
- Hyperbolic Cylinder
- Hyperbolic Dodecahedron