Icositetrahedron

Short description: Polyhedron with 24 faces

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

References

• Weisstein, Eric W.. "Icositetrahedron". http://mathworld.wolfram.com/Icositetrahedron.html.