The Collaborative International Dictionary
icositetrahedron
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.
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.
Wiktionary
icositetrahedron
n. (context mathematics English) Any of several solids having twenty-four faces.