![]() Triakis octahedron  | 
![]() Tetrakis hexahedron  | 
![]() Deltoidal icositetrahedron  | 
![]() Pentagonal icositetrahedron  | 
In geometry, an icositetrahedron[1] is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry:
Four Catalan solids, convex:
- Triakis octahedron - isosceles triangles
 - Tetrakis hexahedron - isosceles triangles
 - Deltoidal icositetrahedron - kites
 - Pentagonal icositetrahedron - pentagons
 
27 uniform star-polyhedral duals: (self-intersecting)
References
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