Trisoctahedron

n.
  1. A solid of the isometric system bounded by twenty-four equal faces, three corresponding to each face of an octahedron.
    2. 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.