The Tetartoid

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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


Snapshots


Details

Reference

[1] Wikipedia. "Dodecahedron." (Aug 14, 2015) en.wikipedia.org/wiki/Dodecahedron.



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