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.

ImageNameStellation of
Great dodecahedronDodecahedron
Great icosahedronIcosahedron
Small stellated dodecahedronDodecahedron
Great stellated dodecahedronDodecahedron
Stellated octahedronOctahedron
Compound of five octahedraIcosahedron
Compound of five tetrahedraIcosahedron
Small triambic icosahedronIcosahedron
Great triambic icosahedronIcosahedron
Compound of five cubesRhombic triacontahedron
Compound of great icosahedron and great stellated dodecahedronIcosidodecahedron
Compound of dodecahedron and icosahedronIcosidodecahedron
Compound of cube and octahedronCuboctahedron
Second stellation of the cuboctahedron[1]Cuboctahedron
Final stellation of the icosahedronIcosahedron
Compound of ten tetrahedraIcosahedron
Eighth stellation of the icosahedronIcosahedron

See also

Footnotes

  1. ↑ 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.
  • Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.
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