Dissection of Half an Obtuse Golden Rhombohedron and Half an Acute Golden Rhombohedron into a Cube
This Demonstration shows a dissection of a half of an obtuse golden rhombohedron and a half of an acute golden rhombohedron into a cube.[more]
For a volume of the obtuse golden rhombohedron of , the volume of the acute golden rhombohedron equals , where is the golden ratio. Thus this Demonstration implies the identity . Note that can be replaced by in this identity: .[less]
 W. W. R. Ball and H. S. M. Coxeter, Mathematical Recreations and Essays, 13th ed., New York: Dover Publications, 1987 p. 161.
 I. Hafner and M. Budin, "Dissection of Cubes and Golden Rhombic Solids," in Aproged's 5th International Conference, Geometrias '19: Polyhedra and Beyond, Porto, Portugal (V. Viana, ed.), Porto: Aproged, 2019 pp. 91–93. www.aproged.pt/geometrias19proceedings.html.