Trisoctahedron /(?)/

Tris·oc·ta·he·dron

Trisoctahedron

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

Phrases & Compounds
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.