updated 16-02-2004
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The 59 stellations of the icosahedron are very nice polyhedra.
We still met half a dozen of them: (see the Du Val's notation) Among the others, here are my favorite, with LiveGraphics3D.
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A B C Ef11 Ef1 G |
the icosahedron itself
the first stellation the compound of five octahedra the compound of five tetrahedra the compound of ten tetrahedra the great icosahedron (Poinsot star) |
| De2f2 |
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Ef2 |
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| e1 | e2f2 | ||
| f1 | De2f1 | ||
| f2 | the only disconnected stellation |
H | the complete icosahedron (final stellation) |
| references: |
• Polyhedra par Peter R. Cromwell (pages 267-280), Cambridge University Press, 1997.
• http://www.georgehart.com/virtual-polyhedra/stellations-icosahedron-info.html by George W. Hart. (the data used for these images are extracted from VRML files by George W. Hart) |
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convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects | January 2001 updated 16-02-2004 |