Dissection of Bilunabirotunda into Two Pentagonal Dipyramids and a Rhombic Dodecahedron of the Second Kind

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows a dissection of a bilunabirotunda into two pentagonal dipyramids and a rhombic dodecahedron of the second kind. The faces of the dipyramids are halves of the golden rhombus.

Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA



Since the rhombic dodecahedron of the second kind can be decomposed into two oblate and two prolate rhombohedra, five rhombic dodecahedra can be dissected into a triacontahedron. The triacontahedron can be decomposed into a dodecahedron and 12 pyramids. So three bilunabirotundas and the dodecahedron can be decomposed into the triacontahedron and three rhombic dodecahedra of the second kind or into eight rhombic dodecahedra of the second kind.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.