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This Demonstration shows a derivation of a bilunabirotunda (Johnson solid J91) from golden rhombic solids.

Contributed by: Izidor Hafner

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A triacontahedron is prolonged in two directions; then some oblate rhombohedra are removed. In the next step, two halves of a rhombic dodecahedron of the second kind are removed. The obtained "rhombic" solid is a rhombic "approximate" of a bilunabirotunda. The bilunabirotunda inscribed in the "rhombic" solid has a deficit of 4 pentagonal cups, while triangular pyramids annihilate one another.

Bilunabirotunda (Wolfram MathWorld)

Rhombic Dodecahedron (Wolfram MathWorld)

"Deriving a Bilunabirotunda from Rhombic Solids" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DerivingABilunabirotundaFromRhombicSolids/

Contributed by: Izidor Hafner

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Deriving a Bilunabirotunda from Rhombic Solids

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