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Hexecontahedron
In geometry, a hexecontahedron (or hexacontahedron〔http://www.georgehart.com/virtual-polyhedra/greek-prefixes.html〕) is a polyhedron with 60 faces. There are many symmetric forms, and the ones with highest symmetry have icosahedral symmetry:
Four Catalan solids, convex:
* Deltoidal hexecontahedron - kites
* Pentagonal hexecontahedron - pentagons
* Triakis icosahedron - isosceles triangles
* Pentakis dodecahedron - isosceles triangles
Concave
* Rhombic hexecontahedron - rhombi
27 uniform star-polyhedral duals: (self-intersecting)
*Small dodecicosacron, Great dodecicosacron
*Small rhombidodecacron, Great rhombidodecacron
*Small dodecacronic hexecontahedron, Great dodecacronic hexecontahedron
*Rhombicosacron
*Small icosacronic hexecontahedron, Medial icosacronic hexecontahedron, Great icosacronic hexecontahedron
*Small stellapentakis dodecahedron, Great stellapentakis dodecahedron
*Great pentakis dodecahedron
*Great triakis icosahedron
*Small ditrigonal dodecacronic hexecontahedron, Great ditrigonal dodecacronic hexecontahedron
*Medial deltoidal hexecontahedron, Great deltoidal hexecontahedron
*Medial pentagonal hexecontahedron, Great pentagonal hexecontahedron
*Medial inverted pentagonal hexecontahedron, Great inverted pentagonal hexecontahedron
*Great pentagrammic hexecontahedron
*Small hexagonal hexecontahedron, Medial hexagonal hexecontahedron, Great hexagonal hexecontahedron
*Small hexagrammic hexecontahedron
== References ==
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抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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