List of polyhedral stellations
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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
Footnotes
- ↑ Wenninger, p. 69, 44 Second stellation of the cuboctahedron
References
- Pawley, G. S. (August 1975). "The 227 triacontahedra". Geometriae Dedicata 4 (2–4): 221–232. doi:10.1007/BF00148756.
- 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. https://archive.org/details/fiftynineicosahe0000unse.
- Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.
Original source: https://en.wikipedia.org/wiki/List of polyhedral stellations.
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