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:
27 uniform star-polyhedral duals: