A golden rhombohedron is a trigonal trapezohedron (and therefore rhombohedron with congruent rhombic faces) whose faces consist of six equal golden rhombi. There are two distinct golden rhombohedra: an acute one and an obtuse one.
The acute golden rhombohedron is a zonohedron and one of the five golden isozonohedra. It is implemented in the Wolfram Language as PolyhedronData["AcuteGoldenRhombohedron"].
A net of the acute golden rhombohedron is illustrated above.
The acute golden rhombohedra with edge length has tip-to-tip height
(1)
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(2)
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and volume
(3)
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Twenty acute golden rhombohedra can be combined to form a solid rhombic hexecontahedron (Kabai 2002, p. 171).