Volume of a Generalized Rhombic Dodecahedron of the Second Kind (RD2)

This Demonstration shows a visual proof that the volume of a generalized rhombic dodecahedron of the second kind (RD2, or Bilinski dodecahedron) is , where and are diagonals of four congruent rhombuses. This is shown by moving the pieces of the dodecahedron into a cuboid (rectangular prism, or box). The 12 rhombic faces are congruent only in the RD2 case.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.