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.png Great dodecahedron Dodecahedron
Great icosahedron.png Great icosahedron Icosahedron
Small stellated dodecahedron.png Small stellated dodecahedron Dodecahedron
Great stellated dodecahedron.png Great stellated dodecahedron Dodecahedron
Stella octangula.svg Stellated octahedron Octahedron
First compound stellation of icosahedron.png Compound of five octahedra Icosahedron
Second compound stellation of icosahedron.png Compound of five tetrahedra Icosahedron
First stellation of icosahedron.png Small triambic icosahedron Icosahedron
Stellation icosahedron De2f2.png Great triambic icosahedron Icosahedron
Compound of five cubes.png Compound of five cubes Rhombic triacontahedron
Second compound stellation of icosidecahedron.png Compound of great icosahedron and great stellated dodecahedron Icosidodecahedron
Compound of great icosahedron and stellated dodecahedron.png Compound of great icosahedron and great stellated dodecahedron Great icosidodecahedron
Compound of dodecahedron and icosahedron.png Compound of dodecahedron and icosahedron Icosidodecahedron
Compound of cube and octahedron.png Compound of cube and octahedron Cuboctahedron
Second stellation of cuboctahedron.png [1] Cuboctahedron
Complete icosahedron ortho stella.png Final stellation of the icosahedron Icosahedron
Compound of ten tetrahedra.png Compound of ten tetrahedra Icosahedron
Eighth stellation of icosahedron.png Icosahedron

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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