Icositetrahedron
# Icositetrahedron

| Triakis octahedron | Tetrakis hexahedron |
| - | - |
| Deltoidal icositetrahedron | Pentagonal icositetrahedron |

In geometry, an icositetrahedron 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)

* Small rhombihexacron, Great rhombihexacron
* Small hexacronic icositetrahedron, Great hexacronic icositetrahedron
* Great deltoidal icositetrahedron
* Great triakis octahedron
