In geometry, a trigonal trapezohedron is a polyhedron with six congruent quadrilateral faces, which may be scalene or rhomboid.
[5] Six identical rhombic faces can construct two configurations of trigonal trapezohedra.
Copies of these can be assembled to form other convex polyhedra with golden rhombus faces, including the Bilinski dodecahedron and rhombic triacontahedron.
[6] Four oblate rhombohedra whose ratio of face diagonal lengths are the square root of two can be assembled to form a rhombic dodecahedron.
When this number of faces is six, the kites degenerate to rhombi, and the result is a trigonal trapezohedron.