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From: Webster's Revised Unabridged Dictionary (1913)

 Tris·oc·ta·he·dron n.  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.