tetragonal trisoctahedron

from The Collaborative International Dictionary of English v.0.48

Trisoctahedron \Tris*oc`ta*he"dron\, n. [Gr. ? thrice + FE.
   octahedron.] (Crystallog.)
   A solid of the isometric system bounded by twenty-four equal
   faces, three corresponding to each face of an octahedron.
   [1913 Webster]

   {Tetragonal trisoctahedron}, a trisoctahedron each face of
      which is a quadrilateral; called also {trapezohedron} and
      {icositetrahedron}.

   {Trigonal trisoctahedron}, a trisoctahedron each face of
      which is an isosceles triangle.
      [1913 Webster] Trispast