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:

Triakis octahedron	Tetrakis hexahedron
Deltoidal icositetrahedron	Pentagonal icositetrahedron

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

http://www.georgehart.com/virtual-polyhedra/greek-prefixes.html

Weisstein, Eric W. "Icositetrahedron". MathWorld.

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[1] ttp://www.georgehart.com/virtual-polyhedra/greek-prefixes.html

Polyhedra
Listed by number of faces
1–10 faces	Monohedron Dihedron Trihedron Tetrahedron Pentahedron Hexahedron Heptahedron Octahedron Enneahedron Decahedron
11–20 faces	Hendecahedron Dodecahedron Tridecahedron Tetradecahedron Pentadecahedron Hexadecahedron Heptadecahedron Octadecahedron Enneadecahedron Icosahedron
>21 faces	Icositetrahedron (24) Triacontahedron (30) Icosidodecahedron (32) Hexecontahedron (60) Enneacontahedron (90) Hectotriadiohedron (132) Apeirohedron (∞)