List of polyhedral stellations

In the geometry of three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations of various polyhedra.

Image	Name	Stellation of
	Great dodecahedron	Dodecahedron
	Great icosahedron	Icosahedron
	Small stellated dodecahedron	Dodecahedron
	Great stellated dodecahedron	Dodecahedron
	Stellated octahedron	Octahedron
	Compound of five octahedra	Icosahedron
	Compound of five tetrahedra	Icosahedron
	Small triambic icosahedron	Icosahedron
	Great triambic icosahedron	Icosahedron
	Compound of five cubes	Rhombic triacontahedron
	Compound of great icosahedron and great stellated dodecahedron	Icosidodecahedron
	Compound of great icosahedron and great stellated dodecahedron	Great icosidodecahedron
	Compound of dodecahedron and icosahedron	Icosidodecahedron
	Compound of cube and octahedron	Cuboctahedron
	Second stellation of the cuboctahedron[1]	Cuboctahedron
	Final stellation of the icosahedron	Icosahedron
	Compound of ten tetrahedra	Icosahedron
	Eighth stellation of the icosahedron	Icosahedron

See also

• List of Wenninger polyhedron models
• The Fifty-Nine Icosahedra

Footnotes

References

• Pawley, G. S. (August 1975). "The 227 triacontahedra". Geometriae Dedicata. 4 (2–4): 221–232. doi:10.1007/BF00148756. S2CID 123506315.
• Coxeter, H. S. M.; DuVal, P.; Flather, P.; Petrie, J. F. (1982). The Fifty-Nine Icosahedra. New York: Springer-Verlag. ISBN 978-0-387-90770-3.
• Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.

This page was last edited on 21 December 2022, at 22:23