trisoctahedron

n. [ Gr. &unr_; 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 ]