Dissection of a Cube into Three Bilunabirotundas, a Dodecahedron, and a Smaller Cube

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 cube into three bilunabirotundas, a dodecahedron, and a smaller cube.

Contributed by: Izidor Hafner (April 2008)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The existence of such a decomposition follows from [2] or from the Demonstration referenced in the Related Links and [1]. This dissection as well as the dissection of a dodecahedron into eight parts (if original) could be made into a commercial puzzle. [1] V. G. Boltyanskii, Tretja Problema Hilberta, Moscow: Nauka, 1977. Translated by R. A. Silverman as Hilbert's Third Problem (New York: John Wiley & Sons, Inc., 1978). [2] I. Hafner, "Decomposition of Three Bilunabirotundas and Dodecahedron to Rhombic Solids," Visual Mathematics, 9(2), 2007 article 6.



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.
Send