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.