Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The tetartoid has 12 identical irregular pentagonal faces. The mineral cobaltite sometimes occurs in this form. The individual pentagons can be generated from the arbitrary multiset , where , , and are non-negative. There are a few exceptions (like ), in which case "Error" is shown at the bottom of the control area, and a tetartoid based on the pentagon with vertices is shown instead.[more]
Names other than tetartoid include tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon dodecahedron. The combination gives a regular dodecahedron, where is the golden ratio.[less]
Contributed by: Ed Pegg Jr (August 2015)
Open content licensed under CC BY-NC-SA
 Wikipedia. "Dodecahedron." (Aug 14, 2015) en.wikipedia.org/wiki/Dodecahedron.