Deltoidal icositetrahedron
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Type	Catalan
Face polygon	kite
Faces	24
Edges	48
Vertices	26 = 6 + 8 + 12
Face configuration	3,4,4,4
Symmetry group	octahedral (Oh)
Dual polyhedron	rhombicuboctahedron
Properties	convex, face-uniform, don't know what else

A deltoidal icositetrahedron (or trapezoidal icositetrahedron) is a catalan solid which looks a bit like an overinflated cube.