The convex hulls of the small cubicuboctahedron , small rhombihexahedron , and stellated truncated hexahedron are all the Archimedean small rhombicuboctahedron , whose dual is the deltoidal icositetrahedron, so the duals of these solids (i.e., the small hexacronic icositetrahedron, small rhombihexahedron, and great triakis octahedron) are all stellations of the deltoidal icositetrahedron (Wenninger 1983, p. 57).
Deltoidal Icositetrahedron Stellations
See also
Archimedean Solid, Icositetrahedron, Small RhombicuboctahedronExplore with Wolfram|Alpha
References
Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, 1983.Referenced on Wolfram|Alpha
Deltoidal Icositetrahedron StellationsCite this as:
Weisstein, Eric W. "Deltoidal Icositetrahedron Stellations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DeltoidalIcositetrahedronStellations.html