Pseudo-deltoidal icositetrahedron
The pseudo-deltoidal icositetrahedron is a convex polyhedron with 24 congruent kites as its faces. It is the dual of the elongated square gyrobicupola, also known as the pseudorhombicuboctahedron.
Pseudo-deltoidal icositetrahedron as die
Deltoidal icositetrahedron
In geometry, the deltoidal icositetrahedron is a Catalan solid. Its 24 faces are congruent kites. The deltoidal icositetrahedron, whose dual is the (uniform) rhombicuboctahedron, is tightly related to the pseudo-deltoidal icositetrahedron, whose dual is the pseudorhombicuboctahedron; but the actual and pseudo-d.i. are not to be confused with each other.
Image: Deltoidalicositetrahedron
Image: Eeuwig water, Weiwerd, crop
Image: D24 deltoidal icositetrahedron
Image: Perspectiva Corporum Regularium 36b