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 obtuse golden rhombohedron is a zonohedron and one of the five golden isozonohedra. It is
implemented in the Wolfram Language
as PolyhedronData["ObtuseGoldenRhombohedron"].
A net of the obtuse golden rhombohedron is illustrated above.
The obtuse golden rhombohedra with edge length 
has tip-to-tip height
 |
(1)
|
surface area
 |
(2)
|
and volume
 |
(3)
|
See also
Acute Golden Rhombohedron,
Golden Isozonohedron,
Golden
Rhombohedron,
Rhombohedron,
Trigonal
Trapezohedron
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References
Kabai, S. Mathematical Graphics I: Lessons in Computer Graphics Using Mathematica. Püspökladány, Hungary: Uniconstant,
pp. 169 and 171, 2002.Livio, M. The
Golden Ratio: The Story of Phi, the World's Most Astonishing Number. New
York: Broadway Books, p. 206, 2002.
Cite this as:
Weisstein, Eric W. "Obtuse Golden Rhombohedron."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ObtuseGoldenRhombohedron.html
Subject classifications
