[Home]History of Icosahedron

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Revision 5 . . November 9, 2001 7:01 am by Josh Grosse
Revision 4 . . (edit) October 27, 2001 1:50 am by Cwitty [typo fixes]
  

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Changed: 3c3
There are distortions of the icosahedron of tetrahedral symmetry that, while no longer regular, are nevertheless vertex-uniform; these are chiral and somewhat analagous to the [snub cube]? and [snub dodecahedron]?. The icosahedron has a large number of stellation?s, including one of the Kepler-poinsot solids and some of the regular compounds, which could be discussed here.
There are distortions of the icosahedron that, while no longer regular, are nevertheless vertex-uniform. These are invariant under the same rotations as the tetrahedron, and are somewhat analagous to the [snub cube]? and [snub dodecahedron]?, including some forms which are chiral and some with Th-symmetry, i.e. have different planes of symmetry than the tetrahedron. The icosahedron has a large number of stellation?s, including one of the Kepler-poinsot solids and some of the regular compounds, which could be discussed here.

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