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A nonuniform Polyhedron obtained by rotating the bottom third of a Small Rhombicuboctahedron (Ball and
Coxeter 1987, p. 137).  It is also called Miller's Solid, the Miller-Askinuze Solid, or the Pseudorhombicuboctahedron, and is Johnson Solid  .
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See also Small Rhombicuboctahedron
References
Askinuze, V. G.  ``O cisle polupravil'nyh mnogogrannikov.''  Math. Prosvesc. 1, 107-118, 1957.
 
Ball, W. W. R. and Coxeter, H. S. M.  Mathematical Recreations and Essays, 13th ed.  New York: Dover, pp. 137-138, 1987.
 
Cromwell, P. R.  Polyhedra.  New York: Cambridge University Press, pp. 91-92, 1997.