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List of polyhedral stellations

From Wikipedia, the free encyclopedia

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. h

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

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Footnotes

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  1. ^ Wenninger, p. 69, 44 Second stellation of the cuboctahedron

References

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  • 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.